﻿171:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento aleatorio y sistema de datos:@0.557411:0.043661:0.926911:0.043661:0.926911:0.024916:0.557411:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad empírica :@0.740801:0.186502:0.904963:0.186502:0.904963:0.172218:0.740801:0.172218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se trata de la frecuencia :@0.740801:0.201631:0.895935:0.201631:0.895935:0.187347:0.740801:0.187347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativa observada con la :@0.740801:0.216760:0.903943:0.216760:0.903943:0.202476:0.740801:0.202476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que ocurre un evento.:@0.740801:0.231889:0.883469:0.231889:0.883469:0.217605:0.740801:0.217605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, en el :@0.740801:0.247018:0.859832:0.247018:0.859832:0.232734:0.740801:0.232734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lanzamiento  :@0.740801:0.262147:0.827951:0.262147:0.827951:0.247862:0.740801:0.247862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un par de monedas :@0.740801:0.277276:0.891372:0.277276:0.891372:0.262991:0.740801:0.262991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se observaron 98 caras :@0.740801:0.292405:0.890771:0.292405:0.890771:0.278120:0.740801:0.278120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 300 lanzamientos. La :@0.740801:0.307534:0.898789:0.307534:0.898789:0.293249:0.740801:0.293249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad empírica del :@0.740801:0.322662:0.910405:0.322662:0.910405:0.308378:0.740801:0.308378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento de una cara fue de :@0.740801:0.337791:0.912706:0.337791:0.912706:0.323507:0.740801:0.323507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
98/300.:@0.740801:0.352920:0.789011:0.352920:0.789011:0.338636:0.740801:0.338636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
* La regla de Laplace para el :@0.740801:0.383178:0.923948:0.383178:0.923948:0.368894:0.740801:0.368894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo de probabilidades :@0.740801:0.398307:0.910460:0.398307:0.910460:0.384023:0.740801:0.384023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establece que la :@0.740801:0.413436:0.849102:0.413436:0.849102:0.399152:0.740801:0.399152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad de un suceso :@0.740801:0.428565:0.916066:0.428565:0.916066:0.414281:0.740801:0.414281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquiera   es el cociente :@0.740801:0.443694:0.915161:0.443694:0.915161:0.429410:0.740801:0.429410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.811418:0.443694:0.820404:0.443694:0.820404:0.428779:0.811418:0.428779:0.000000
entre el número de casos :@0.740801:0.458823:0.907510:0.458823:0.907510:0.444539:0.740801:0.444539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
favorables de   sobre el :@0.740801:0.473952:0.896670:0.473952:0.896670:0.459668:0.740801:0.459668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.829892:0.473952:0.838878:0.473952:0.838878:0.459037:0.829892:0.459037:0.000000
número de casos posibles.:@0.740801:0.489081:0.910904:0.489081:0.910904:0.474797:0.740801:0.474797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.740801:0.525978:0.764675:0.525978:0.764675:0.509572:0.740801:0.509572:0.000000:0.000000:0.000000
( ):@0.749986:0.525978:0.769479:0.525978:0.769479:0.510265:0.749986:0.510265:0.000000:0.000000:0.000000
=:@0.769406:0.526560:0.784739:0.526560:0.784739:0.508906:0.769406:0.508906:0.000000
n.°:@0.790485:0.517490:0.803792:0.517490:0.803792:0.506063:0.790485:0.506063:0.000000:0.000000:0.000000
casos:@0.803739:0.517490:0.831573:0.517490:0.831573:0.505559:0.803739:0.505559:0.000000:0.000000:0.000000:0.000000:0.000000
 favorables de :@0.831530:0.517490:0.906924:0.517490:0.906924:0.506063:0.831530:0.506063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.906618:0.517490:0.913807:0.517490:0.913807:0.505559:0.906618:0.505559:0.000000
n.°de :@0.800097:0.532206:0.829977:0.532206:0.829977:0.520778:0.800097:0.520778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos:@0.829897:0.532206:0.857734:0.532206:0.857734:0.520274:0.829897:0.520274:0.000000:0.000000:0.000000:0.000000:0.000000
 posibles:@0.857702:0.532206:0.904222:0.532206:0.904222:0.520778:0.857702:0.520778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las propiedades de la :@0.740801:0.562354:0.884371:0.562354:0.884371:0.548070:0.740801:0.548070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad son: :@0.740801:0.577483:0.856711:0.577483:0.856711:0.563199:0.740801:0.563199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0    ( ):@0.740801:0.592612:0.794383:0.592612:0.794383:0.578328:0.740801:0.578328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.752146:0.593141:0.766086:0.593141:0.766086:0.577092:0.752146:0.577092:0.000000
P A:@0.769265:0.592612:0.790182:0.592612:0.790182:0.577697:0.769265:0.577697:0.000000:0.000000:0.000000
 ≤:@0.794148:0.593141:0.812271:0.593141:0.812271:0.577092:0.794148:0.577092:0.000000:0.000000
 1.  La :@0.812020:0.592612:0.851445:0.592612:0.851445:0.578328:0.812020:0.578328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad de un :@0.740801:0.607741:0.868191:0.607741:0.868191:0.593457:0.740801:0.593457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suceso es un número :@0.740801:0.622870:0.882630:0.622870:0.882630:0.608586:0.740801:0.608586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprendido entre 0 y 1.:@0.740801:0.637999:0.903543:0.637999:0.903543:0.623715:0.740801:0.623715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P E:@0.740801:0.653128:0.760112:0.653128:0.760112:0.638213:0.740801:0.638213:0.000000:0.000000:0.000000
( ) 1,  ( ) 0. La :@0.748532:0.653128:0.867861:0.653128:0.867861:0.638843:0.748532:0.638843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.764078:0.653657:0.778017:0.653657:0.778017:0.637608:0.764078:0.637608:0.000000
P:@0.791789:0.653128:0.799754:0.653128:0.799754:0.638213:0.791789:0.638213:0.000000
∅ =:@0.803720:0.653657:0.835548:0.653657:0.835548:0.637608:0.803720:0.637608:0.000000:0.000000:0.000000
probabilidad del suceso :@0.740817:0.668257:0.898578:0.668257:0.898578:0.653972:0.740817:0.653972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguro es 1 y la del suceso :@0.740817:0.683386:0.914023:0.683386:0.914023:0.669101:0.740817:0.669101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imposible es 0.:@0.740817:0.698515:0.836284:0.698515:0.836284:0.684230:0.740817:0.684230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad de la :@0.740817:0.713643:0.879551:0.713643:0.879551:0.699359:0.740817:0.699359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unión de dos sucesos :@0.740817:0.728772:0.883808:0.728772:0.883808:0.714488:0.740817:0.714488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompatibles es::@0.740817:0.743901:0.853185:0.743901:0.853185:0.729617:0.740817:0.729617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.740817:0.759030:0.761735:0.759030:0.761735:0.744116:0.740817:0.744116:0.000000:0.000000:0.000000
(     ):@0.748549:0.759030:0.795253:0.759030:0.795253:0.744746:0.748549:0.744746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪ =:@0.764931:0.759560:0.808958:0.759560:0.808958:0.743511:0.764931:0.743511:0.000000:0.000000:0.000000
C:@0.782050:0.759030:0.791053:0.759030:0.791053:0.744116:0.782050:0.744116:0.000000
P A:@0.808707:0.759030:0.829624:0.759030:0.829624:0.744116:0.808707:0.744116:0.000000:0.000000:0.000000
( ):@0.816438:0.759030:0.833824:0.759030:0.833824:0.744746:0.816438:0.744746:0.000000:0.000000:0.000000
+:@0.833590:0.759560:0.847529:0.759560:0.847529:0.743511:0.833590:0.743511:0.000000
P B:@0.847278:0.759030:0.867242:0.759030:0.867242:0.744116:0.847278:0.744116:0.000000:0.000000:0.000000
( ),:@0.855009:0.759030:0.874119:0.759030:0.874119:0.744746:0.855009:0.744746:0.000000:0.000000:0.000000:0.000000
P A:@0.740817:0.774159:0.761735:0.774159:0.761735:0.759245:0.740817:0.759245:0.000000:0.000000:0.000000
( ) 1 ( ).:@0.748549:0.774159:0.828642:0.774159:0.828642:0.759875:0.748549:0.759875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.761491:0.768647:0.767051:0.768647:0.767051:0.760319:0.761491:0.760319:0.000000
= –:@0.771111:0.774689:0.801098:0.774689:0.801098:0.758639:0.771111:0.758639:0.000000:0.000000:0.000000
P A:@0.800847:0.774159:0.821764:0.774159:0.821764:0.759245:0.800847:0.759245:0.000000:0.000000:0.000000
Competencia :@0.742665:0.145303:0.851225:0.145303:0.851225:0.128356:0.742665:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.742665:0.161945:0.840141:0.161945:0.840141:0.144998:0.742665:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073089:0.136265:0.151058:0.136265:0.151058:0.119596:0.073089:0.119596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.150944:0.136265:0.154975:0.136265:0.154975:0.120552:0.150944:0.120552:0.000000
 :@0.193573:0.136265:0.197604:0.136265:0.197604:0.120552:0.193573:0.120552:0.000000
Considera un experimento aleatorio y el respectivo espacio muestral  . Un suceso   es :@0.073098:0.152907:0.710384:0.152907:0.710384:0.137194:0.073098:0.137194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.580236:0.152907:0.588298:0.152907:0.588298:0.136501:0.580236:0.136501:0.000000
A:@0.676303:0.152907:0.686188:0.152907:0.686188:0.136501:0.676303:0.136501:0.000000
simplemente un conjunto de resultados posibles del experimento, esto es, :@0.073098:0.169549:0.616771:0.169549:0.616771:0.153836:0.073098:0.153836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A S:@0.616241:0.169549:0.649355:0.169549:0.649355:0.153143:0.616241:0.153143:0.000000:0.000000:0.000000
⊂:@0.626052:0.170131:0.641385:0.170131:0.641385:0.152477:0.626052:0.152477:0.000000
.:@0.649282:0.169549:0.652484:0.169549:0.652484:0.153836:0.649282:0.153836:0.000000
De esta definición resulta que :@0.073079:0.194414:0.292260:0.194414:0.292260:0.178702:0.073079:0.178702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A S A:@0.291978:0.194414:0.352520:0.194414:0.352520:0.178008:0.291978:0.178008:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.301789:0.194997:0.317123:0.194997:0.317123:0.177343:0.301789:0.177343:0.000000
 o :@0.325019:0.194414:0.342727:0.194414:0.342727:0.178702:0.325019:0.178702:0.000000:0.000000:0.000000
=∅:@0.352446:0.194997:0.383021:0.194997:0.383021:0.177343:0.352446:0.177343:0.000000:0.000000
; son sucesos.:@0.382929:0.194414:0.480056:0.194414:0.480056:0.178702:0.382929:0.178702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.073061:0.219280:0.216071:0.219280:0.216071:0.202611:0.073061:0.202611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Se lanza un dado y se observa que el número resultante sea par, entonces, :@0.073089:0.244133:0.710577:0.244133:0.710577:0.228421:0.073089:0.228421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706349:0.244133:0.710380:0.244133:0.710380:0.228421:0.706349:0.228421:0.000000
A:@0.103217:0.260775:0.113102:0.260775:0.113102:0.244369:0.103217:0.244369:0.000000
={:@0.113028:0.261357:0.134399:0.261357:0.134399:0.243703:0.113028:0.243703:0.000000:0.000000
2, 4, 6 .:@0.134307:0.260775:0.184393:0.260775:0.184393:0.245062:0.134307:0.245062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.175152:0.261357:0.181282:0.261357:0.181282:0.243703:0.175152:0.243703:0.000000
b.  Se lanza una moneda tres veces y se observa que se tengan dos caras y un sello. :@0.073089:0.285637:0.710526:0.285637:0.710526:0.269924:0.073089:0.269924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, se tiene::@0.103217:0.302279:0.236876:0.302279:0.236876:0.286566:0.103217:0.286566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.101560:0.327144:0.111445:0.327144:0.111445:0.310738:0.101560:0.310738:0.000000
={:@0.111371:0.327727:0.132742:0.327727:0.132742:0.310073:0.111371:0.310073:0.000000:0.000000
( ,  ,  ); ( ,  ,  ); ( ,  ,  ) .:@0.132650:0.327144:0.310335:0.327144:0.310335:0.311432:0.132650:0.311432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C C T C T C T C C:@0.137454:0.327144:0.296364:0.327144:0.296364:0.310738:0.137454:0.310738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.301095:0.327727:0.307224:0.327727:0.307224:0.310073:0.301095:0.310073:0.000000
c.  Una urna contiene esferas de colores blanco ( ), negro ( ), rojo ( ), verde ( ), dos de :@0.073089:0.352001:0.710380:0.352001:0.710380:0.336289:0.073089:0.336289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.432983:0.352001:0.441818:0.352001:0.441818:0.335595:0.432983:0.335595:0.000000
N:@0.505618:0.352001:0.516865:0.352001:0.516865:0.335595:0.505618:0.335595:0.000000
R:@0.565828:0.352001:0.574774:0.352001:0.574774:0.335595:0.565828:0.335595:0.000000
V:@0.636180:0.352001:0.645292:0.352001:0.645292:0.335595:0.636180:0.335595:0.000000
cada color. Se extraen dos esferas y se observa que al menos una sea blanca. :@0.103180:0.368643:0.710697:0.368643:0.710697:0.352930:0.103180:0.352930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces,:@0.103180:0.385285:0.173260:0.385285:0.173260:0.369572:0.103180:0.369572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.101523:0.410151:0.111408:0.410151:0.111408:0.393745:0.101523:0.393745:0.000000
={:@0.111334:0.410733:0.132705:0.410733:0.132705:0.393079:0.111334:0.393079:0.000000:0.000000
( ,  ); ( ,  ); ( ,  ); ( ,  ); ( ,  ); ( ,  ); ( ,  ) .:@0.132613:0.410151:0.429154:0.410151:0.429154:0.394438:0.132613:0.394438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B B B N B R B V N B R B V B:@0.137418:0.410151:0.415183:0.410151:0.415183:0.393745:0.137418:0.393745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.419914:0.410733:0.426043:0.410733:0.426043:0.393079:0.419914:0.393079:0.000000
1.1.2 Operaciones con sucesos:@0.072882:0.436015:0.311097:0.436015:0.311097:0.419068:0.072882:0.419068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   un conjunto referencial, a las partes de   se las denota  ( ), el conjunto de los :@0.072882:0.460880:0.710157:0.460880:0.710157:0.445168:0.072882:0.445168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.104469:0.460880:0.112586:0.460880:0.112586:0.444474:0.104469:0.444474:0.000000
E:@0.415956:0.460880:0.424074:0.460880:0.424074:0.444474:0.415956:0.444474:0.000000
P E:@0.534278:0.460880:0.556072:0.460880:0.556072:0.444474:0.534278:0.444474:0.000000:0.000000:0.000000
subconjuntos de E. Las operaciones habituales con conjuntos que han sido tratadas son :@0.072882:0.477522:0.709857:0.477522:0.709857:0.461810:0.072882:0.461810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unión, intersección, diferencia, complemento y diferencia simétrica. Así, sean  ,       ( ). Se :@0.072882:0.494164:0.710141:0.494164:0.710141:0.478451:0.072882:0.478451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.607962:0.494164:0.632591:0.494164:0.632591:0.477758:0.607962:0.477758:0.000000:0.000000:0.000000
∈:@0.635610:0.494747:0.650943:0.494747:0.650943:0.477092:0.635610:0.477092:0.000000
P E:@0.653925:0.494164:0.678388:0.494164:0.678388:0.477758:0.653925:0.477758:0.000000:0.000000:0.000000
han definido los conjuntos :@0.072863:0.510806:0.266005:0.510806:0.266005:0.495093:0.072863:0.495093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.072863:0.535672:0.082748:0.535672:0.082748:0.519266:0.072863:0.519266:0.000000
    ,      ,      ,     :@0.082674:0.535672:0.230098:0.535672:0.230098:0.519959:0.082674:0.519959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.086632:0.536254:0.101965:0.536254:0.101965:0.518600:0.086632:0.518600:0.000000
B A:@0.105831:0.535672:0.131546:0.535672:0.131546:0.519266:0.105831:0.519266:0.000000:0.000000:0.000000
∩:@0.135430:0.536254:0.150763:0.536254:0.150763:0.518600:0.135430:0.518600:0.000000
B A B E A A A:@0.154628:0.535672:0.287825:0.535665:0.287825:0.519259:0.154628:0.519266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∖:@0.184227:0.536254:0.189344:0.536254:0.189344:0.518600:0.184227:0.518600:0.000000
∖ =:@0.221042:0.536254:0.255169:0.536254:0.255169:0.518600:0.221042:0.518600:0.000000:0.000000:0.000000
C:@0.265137:0.529602:0.270911:0.529602:0.270911:0.520037:0.265137:0.520037:0.000000
,      .:@0.270872:0.535665:0.319817:0.535665:0.319817:0.519953:0.270872:0.519953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.291709:0.536248:0.303987:0.536248:0.303987:0.518594:0.291709:0.518594:0.000000
B:@0.307852:0.535665:0.316688:0.535665:0.316688:0.519259:0.307852:0.519259:0.000000
Sea   un espacio muestral, las operaciones con sucesos son las operaciones conjuntistas :@0.073086:0.560531:0.710798:0.560531:0.710798:0.544818:0.073086:0.544818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.102372:0.560531:0.110434:0.560531:0.110434:0.544125:0.102372:0.544125:0.000000
precedentes. Así, sea  ,      .:@0.073086:0.577173:0.286721:0.577173:0.286721:0.561460:0.073086:0.561460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.226731:0.577173:0.252446:0.577173:0.252446:0.560767:0.226731:0.560767:0.000000:0.000000:0.000000
∈:@0.256330:0.577755:0.271663:0.577755:0.271663:0.560101:0.256330:0.560101:0.000000
S:@0.275529:0.577173:0.283591:0.577173:0.283591:0.560767:0.275529:0.560767:0.000000
a. :@0.073089:0.602030:0.088533:0.602030:0.088533:0.586317:0.073089:0.586317:0.000000:0.000000:0.000000
A:@0.103290:0.602030:0.113175:0.602030:0.113175:0.585624:0.103290:0.585624:0.000000
     es un suceso si y solo si   o   ocurren.:@0.113101:0.602030:0.421022:0.602030:0.421022:0.586317:0.113101:0.586317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.117059:0.602612:0.132392:0.602612:0.132392:0.584958:0.117059:0.584958:0.000000
B:@0.136258:0.602030:0.145093:0.602030:0.145093:0.585624:0.136258:0.585624:0.000000
A B:@0.320846:0.602030:0.357108:0.602030:0.357108:0.585624:0.320846:0.585624:0.000000:0.000000:0.000000
b. :@0.073089:0.626892:0.089987:0.626892:0.089987:0.611179:0.073089:0.611179:0.000000:0.000000:0.000000
A:@0.103290:0.626892:0.113175:0.626892:0.113175:0.610486:0.103290:0.610486:0.000000
     es un suceso si y solo si   y   ocurren.:@0.113101:0.626892:0.419328:0.626892:0.419328:0.611179:0.113101:0.611179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.117059:0.627474:0.132392:0.627474:0.132392:0.609820:0.117059:0.609820:0.000000
B:@0.136258:0.626892:0.145093:0.626892:0.145093:0.610486:0.136258:0.610486:0.000000
A B:@0.320846:0.626892:0.355414:0.626892:0.355414:0.610486:0.320846:0.610486:0.000000:0.000000:0.000000
c. :@0.073089:0.651753:0.088164:0.651753:0.088164:0.636041:0.073089:0.636041:0.000000:0.000000:0.000000
A B:@0.103290:0.651753:0.134877:0.651753:0.134877:0.635347:0.103290:0.635347:0.000000:0.000000:0.000000
     es un suceso si y solo si el suceso   ocurre pero no  .:@0.113101:0.651753:0.519018:0.651753:0.519018:0.636041:0.113101:0.636041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∖:@0.117059:0.652336:0.122176:0.652336:0.122176:0.634682:0.117059:0.634682:0.000000
A:@0.381148:0.651753:0.391032:0.651753:0.391032:0.635347:0.381148:0.635347:0.000000
B:@0.507053:0.651753:0.515889:0.651753:0.515889:0.635347:0.507053:0.635347:0.000000
d. :@0.073089:0.676614:0.089968:0.676614:0.089968:0.660901:0.073089:0.660901:0.000000:0.000000:0.000000
E A A:@0.103290:0.676614:0.159212:0.676614:0.159212:0.660208:0.103290:0.660208:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.111334:0.676614:0.124348:0.676614:0.124348:0.660901:0.111334:0.660901:0.000000:0.000000:0.000000
∖ =:@0.115292:0.677197:0.149419:0.677197:0.149419:0.659542:0.115292:0.659542:0.000000:0.000000:0.000000
C:@0.159147:0.670552:0.164920:0.670552:0.164920:0.660987:0.159147:0.660987:0.000000
 es un suceso que ocurre si y solo si el suceso   no ocurre.:@0.164881:0.676614:0.581859:0.676614:0.581859:0.660901:0.164881:0.660901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.494574:0.676614:0.504458:0.676614:0.504458:0.660208:0.494574:0.660208:0.000000
Definición:@0.073084:0.701480:0.151054:0.701480:0.151054:0.684810:0.073084:0.684810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.150944:0.701476:0.154975:0.701476:0.154975:0.685763:0.150944:0.685763:0.000000
 :@0.193573:0.701476:0.197604:0.701476:0.197604:0.685763:0.193573:0.685763:0.000000
Sea   un espacio muestral y  ,   dos sucesos. Se dice que  ,   son sucesos mutuamente :@0.073098:0.718118:0.710469:0.718118:0.710469:0.702405:0.073098:0.702405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.102752:0.718118:0.110814:0.718118:0.110814:0.701712:0.102752:0.701712:0.000000
A B:@0.277142:0.718118:0.302894:0.718118:0.302894:0.701712:0.277142:0.701712:0.000000:0.000000:0.000000
A B:@0.489341:0.718118:0.515093:0.718118:0.515093:0.701712:0.489341:0.701712:0.000000:0.000000:0.000000
excluyentes si y solo si     :@0.073061:0.734760:0.270755:0.734760:0.270755:0.719047:0.073061:0.719047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.237714:0.734760:0.247598:0.734760:0.247598:0.718354:0.237714:0.718354:0.000000
∩ =∅:@0.251482:0.735342:0.310017:0.735342:0.310017:0.717688:0.251482:0.717688:0.000000:0.000000:0.000000:0.000000
B:@0.270681:0.734760:0.279517:0.734760:0.279517:0.718354:0.270681:0.718354:0.000000
.:@0.309925:0.734760:0.313128:0.734760:0.313128:0.719047:0.309925:0.719047:0.000000
Ejercicios resueltos:@0.073042:0.759625:0.216052:0.759625:0.216052:0.742956:0.073042:0.742956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Se lanza un dado y se observa el número marcado en la cara superior. Los sucesos   :@0.073089:0.784483:0.710380:0.784483:0.710380:0.768771:0.073089:0.768771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.696464:0.784483:0.706349:0.784483:0.706349:0.768077:0.696464:0.768077:0.000000
constituidos por números de caras pares y los sucesos   constituidos por números :@0.103217:0.801125:0.710380:0.801125:0.710380:0.785413:0.103217:0.785413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.503961:0.801125:0.512796:0.801125:0.512796:0.784719:0.503961:0.784719:0.000000
de  caras impares  son  sucesos mutuamente  excluyentes, pues :@0.103217:0.817767:0.608378:0.817767:0.608378:0.802054:0.103217:0.802054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.612067:0.817767:0.621951:0.817767:0.621951:0.801361:0.612067:0.801361:0.000000
={:@0.622393:0.818350:0.644464:0.818350:0.644464:0.800695:0.622393:0.800695:0.000000:0.000000
2,  4, 6 ; :@0.645071:0.817767:0.710380:0.817767:0.710380:0.802054:0.645071:0.802054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.696400:0.818350:0.702529:0.818350:0.702529:0.800695:0.696400:0.800695:0.000000
 :@0.706349:0.817767:0.710380:0.817767:0.710380:0.802054:0.706349:0.802054:0.000000
B:@0.103217:0.834409:0.112052:0.834409:0.112052:0.818003:0.103217:0.818003:0.000000
={:@0.111979:0.834991:0.133349:0.834991:0.133349:0.817337:0.111979:0.817337:0.000000:0.000000
1, 3, 5 ;     :@0.133257:0.834409:0.220250:0.834409:0.220250:0.818696:0.133257:0.818696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.174103:0.834991:0.180233:0.834991:0.180233:0.817337:0.174103:0.817337:0.000000
A:@0.187209:0.834409:0.197094:0.834409:0.197094:0.818003:0.187209:0.818003:0.000000
∩ =∅:@0.200978:0.834991:0.259513:0.834991:0.259513:0.817337:0.200978:0.817337:0.000000:0.000000:0.000000:0.000000
B:@0.220176:0.834409:0.229012:0.834409:0.229012:0.818003:0.220176:0.818003:0.000000
.:@0.259421:0.834409:0.262623:0.834409:0.262623:0.818696:0.259421:0.818696:0.000000
2.  Se lanza una moneda tres veces y se observan los siguientes resultados:  , el suceso :@0.073089:0.859270:0.710417:0.859270:0.710417:0.843557:0.073089:0.843557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.623111:0.859270:0.632996:0.859270:0.632996:0.842864:0.623111:0.842864:0.000000
en el que se tengan dos caras; y  , el suceso en el que se tengan dos sellos. Entonces,:@0.103198:0.875911:0.706089:0.875911:0.706089:0.860199:0.103198:0.860199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.332000:0.875911:0.340836:0.875911:0.340836:0.859505:0.332000:0.859505:0.000000
A:@0.101523:0.900777:0.111408:0.900777:0.111408:0.884371:0.101523:0.884371:0.000000
={:@0.111334:0.901360:0.132705:0.901360:0.132705:0.883705:0.111334:0.883705:0.000000:0.000000
( ,  ,  ); ( ,  ,  ); ( ,  ,  ) .:@0.132613:0.900777:0.310298:0.900777:0.310298:0.885064:0.132613:0.885064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C C T C T C T C C:@0.137417:0.900777:0.296327:0.900777:0.296327:0.884371:0.137417:0.884371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.301058:0.901360:0.307187:0.901360:0.307187:0.883705:0.301058:0.883705:0.000000
B:@0.101413:0.925643:0.110248:0.925643:0.110248:0.909237:0.101413:0.909237:0.000000
={:@0.110175:0.926225:0.131545:0.926225:0.131545:0.908571:0.110175:0.908571:0.000000:0.000000
( ,  ,  ); ( ,  ,  ); ( ,  ,  ) .:@0.131453:0.925643:0.303782:0.925643:0.303782:0.909930:0.131453:0.909930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C T T T C T T T C:@0.136258:0.925643:0.289811:0.925643:0.289811:0.909237:0.136258:0.909237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
}:@0.294542:0.926225:0.300671:0.926225:0.300671:0.908571:0.294542:0.908571:0.000000
Resulta     :@0.101302:0.950508:0.190633:0.950508:0.190633:0.934796:0.101302:0.934796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.157592:0.950508:0.167476:0.950508:0.167476:0.934102:0.157592:0.934102:0.000000
∩ =∅:@0.171360:0.951091:0.229895:0.951091:0.229895:0.933437:0.171360:0.933437:0.000000:0.000000:0.000000:0.000000
B:@0.190559:0.950508:0.199395:0.950508:0.199395:0.934102:0.190559:0.934102:0.000000
. En consecuencia, son sucesos mutuamente excluyentes.:@0.229803:0.950508:0.646269:0.950508:0.646269:0.934796:0.229803:0.934796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 8 (Ev. 1) Define la población de la cual va a extraer las muestras. DBA 8 (Ev. 2) Define el tamaño y el método de selección de la muestra.:@0.079458:0.971366:0.811370:0.971366:0.811370:0.959939:0.079458:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000