﻿185:@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
Este es uno de los tópicos más importantes de la teoría de probabilidad. La idea principal :@0.073089:0.240389:0.710066:0.240389:0.710066:0.224676:0.073089:0.224676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la siguiente::@0.073089:0.257031:0.178942:0.257031:0.178942:0.241318:0.073089:0.241318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera un evento   y un suceso       del que se tiene una información suplementaria. :@0.073089:0.291535:0.710604:0.291535:0.710604:0.275822:0.073089:0.275822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.224212:0.291535:0.232275:0.291535:0.232275:0.275129:0.224212:0.275129:0.000000
A:@0.321734:0.291535:0.331619:0.291535:0.331619:0.275129:0.321734:0.275129:0.000000
∈:@0.334748:0.292117:0.350081:0.292117:0.350081:0.274463:0.334748:0.274463:0.000000
S:@0.353155:0.291535:0.361218:0.291535:0.361218:0.275129:0.353155:0.275129:0.000000
La probabilidad de este evento con la información suplementaria modifica el valor de la :@0.073070:0.308177:0.710714:0.308177:0.710714:0.292464:0.073070:0.292464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad del evento. :@0.073070:0.324818:0.254345:0.324818:0.254345:0.309106:0.073070:0.309106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos el siguiente ejemplo.:@0.073070:0.359322:0.312554:0.359322:0.312554:0.343610:0.073070:0.343610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En nuestro tradicional juego del cuarenta, se :@0.073070:0.393826:0.396243:0.393826:0.396243:0.378114:0.073070:0.378114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dispone de 40 cartas separadas en 3 grupos: :@0.073070:0.410468:0.396250:0.410468:0.396250:0.394756:0.073070:0.394756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
as (4 cartas), figuras  ,  ,   (12 cartas), y :@0.073070:0.427110:0.396057:0.427110:0.396057:0.411397:0.073070:0.411397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
J Q K:@0.236858:0.427110:0.284901:0.427110:0.284901:0.410704:0.236858:0.410704:0.000000:0.000000:0.000000:0.000000:0.000000
números 2, 3, 4, 5, 6, 7 (24 cartas). Se excluyen :@0.073089:0.443752:0.396026:0.443752:0.396026:0.428039:0.073089:0.428039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en este juego las cartas de números 8, 9, 10 :@0.073089:0.460394:0.396236:0.460394:0.396236:0.444681:0.073089:0.444681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(12 en total).:@0.073089:0.477036:0.163222:0.477036:0.163222:0.461323:0.073089:0.461323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conoce que la carta seleccionada es una figura, la probabilidad de sacar  :@0.073089:0.511540:0.710366:0.511540:0.710366:0.495827:0.073089:0.495827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una   es :@0.073089:0.528182:0.136980:0.528182:0.136980:0.512469:0.073089:0.512469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
J:@0.105983:0.528182:0.112278:0.528182:0.112278:0.511775:0.105983:0.511775:0.000000
4:@0.145385:0.523792:0.154367:0.523792:0.154367:0.508079:0.145385:0.508079:0.000000
12:@0.140930:0.538312:0.158822:0.538312:0.158822:0.522599:0.140930:0.522599:0.000000:0.000000
 y no :@0.162117:0.528202:0.203533:0.528202:0.203533:0.512489:0.162117:0.512489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.211942:0.523792:0.220925:0.523792:0.220925:0.508079:0.211942:0.508079:0.000000
40:@0.207487:0.538312:0.225379:0.538312:0.225379:0.522599:0.207487:0.522599:0.000000:0.000000
. Nota que el evento   es sacar una carta  , sabiendo que es una :@0.228674:0.528202:0.710392:0.528202:0.710392:0.512489:0.228674:0.512489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.384823:0.528202:0.394708:0.528202:0.394708:0.511796:0.384823:0.511796:0.000000
J:@0.536720:0.528202:0.543015:0.528202:0.543015:0.511796:0.536720:0.511796:0.000000
figura, o sea, el evento   (existen 12 figuras en el evento  ).:@0.073059:0.549628:0.495763:0.549628:0.495763:0.533915:0.073059:0.533915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.237988:0.549628:0.246824:0.549628:0.246824:0.533222:0.237988:0.533222:0.000000
B:@0.478994:0.549628:0.487830:0.549628:0.487830:0.533222:0.478994:0.533222:0.000000
Por otro lado, en esta clase de cálculos se deben tener presentes propiedades de las :@0.073059:0.584132:0.709961:0.584132:0.709961:0.568419:0.073059:0.568419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones con sucesos, es decir, operaciones con conjuntos (unión, intersección, :@0.073059:0.600774:0.710648:0.600774:0.710648:0.585061:0.073059:0.585061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia) y propiedades básicas. :@0.073059:0.617416:0.319429:0.617416:0.319429:0.601703:0.073059:0.601703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También, se debe tomar en cuenta que la función de probabilidad es una función aditiva :@0.073059:0.651920:0.709869:0.651920:0.709869:0.636207:0.073059:0.636207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de conjunto. En consecuencia, si  ,   son dos eventos de  , se verifica::@0.073059:0.668562:0.587490:0.668587:0.587490:0.652874:0.073059:0.652849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C C:@0.312390:0.668562:0.344427:0.668587:0.344427:0.652181:0.312390:0.652156:0.000000:0.000000:0.000000
1:@0.322265:0.671759:0.327502:0.671759:0.327502:0.662599:0.322265:0.662599:0.000000
2:@0.344365:0.671759:0.349602:0.671759:0.349602:0.662599:0.344365:0.662599:0.000000
S:@0.498451:0.668587:0.506513:0.668587:0.506513:0.652181:0.498451:0.652181:0.000000
p C:@0.249806:0.703091:0.273698:0.703091:0.273698:0.686685:0.249806:0.686685:0.000000:0.000000:0.000000
(     ):@0.258991:0.703091:0.321892:0.703097:0.321892:0.687385:0.258991:0.687378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.273655:0.706270:0.278892:0.706270:0.278892:0.697109:0.273655:0.697109:0.000000
∪:@0.282803:0.703680:0.298136:0.703680:0.298136:0.686026:0.282803:0.686026:0.000000
C:@0.302002:0.703097:0.311905:0.703097:0.311905:0.686691:0.302002:0.686691:0.000000
2:@0.311825:0.706270:0.317062:0.706270:0.317062:0.697109:0.311825:0.697109:0.000000
 =:@0.321818:0.703680:0.341753:0.703680:0.341753:0.686026:0.321818:0.686026:0.000000:0.000000
  ( ):@0.341661:0.703097:0.379408:0.703097:0.379408:0.687385:0.341661:0.687385:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.345527:0.703097:0.369419:0.703097:0.369419:0.686691:0.345527:0.686691:0.000000:0.000000:0.000000
1:@0.369341:0.706270:0.374578:0.706270:0.374578:0.697109:0.369341:0.697109:0.000000
 +:@0.379334:0.703680:0.399269:0.703680:0.399269:0.686026:0.379334:0.686026:0.000000:0.000000
  ( )   (     ).:@0.399177:0.703097:0.529608:0.703097:0.529608:0.687385:0.399177:0.687385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.403043:0.703097:0.426935:0.703097:0.426935:0.686691:0.403043:0.686691:0.000000:0.000000:0.000000
2:@0.426855:0.706270:0.432092:0.706270:0.432092:0.697109:0.426855:0.697109:0.000000
 –:@0.436850:0.703680:0.450656:0.703680:0.450656:0.686026:0.436850:0.686026:0.000000:0.000000
p C:@0.454429:0.703097:0.478322:0.703097:0.478322:0.686691:0.454429:0.686691:0.000000:0.000000:0.000000
1:@0.478241:0.706270:0.483478:0.706270:0.483478:0.697109:0.478241:0.697109:0.000000
∩:@0.487390:0.703680:0.502723:0.703680:0.502723:0.686026:0.487390:0.686026:0.000000
C:@0.506589:0.703097:0.516492:0.703097:0.516492:0.686691:0.506589:0.686691:0.000000
2:@0.516411:0.706270:0.521648:0.706270:0.521648:0.697109:0.516411:0.697109:0.000000
Se dice que los eventos son mutuamente excluyentes si y solo si   (     ):@0.073089:0.737601:0.613714:0.737608:0.613714:0.721895:0.073089:0.721889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.542272:0.737601:0.566164:0.737601:0.566164:0.721195:0.542272:0.721195:0.000000:0.000000:0.000000
1:@0.566104:0.740780:0.571341:0.740780:0.571341:0.731620:0.566104:0.731620:0.000000
∪:@0.574940:0.738190:0.590273:0.738190:0.590273:0.720536:0.574940:0.720536:0.000000
C:@0.593826:0.737608:0.603729:0.737608:0.603729:0.721202:0.593826:0.721202:0.000000
2:@0.603645:0.740780:0.608882:0.740780:0.608882:0.731620:0.603645:0.731620:0.000000
 =:@0.613640:0.738190:0.633566:0.738190:0.633566:0.720536:0.613640:0.720536:0.000000:0.000000
 0. De esta :@0.633041:0.737608:0.710427:0.737608:0.710427:0.721895:0.633041:0.721895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualdad, se obtiene::@0.073111:0.754250:0.223178:0.754250:0.223178:0.738537:0.073111:0.738537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.294624:0.781611:0.318517:0.781611:0.318517:0.765205:0.294624:0.765205:0.000000:0.000000:0.000000
(     ):@0.303809:0.781611:0.366670:0.781613:0.366670:0.765900:0.303809:0.765899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.318433:0.784785:0.323670:0.784785:0.323670:0.775625:0.318433:0.775625:0.000000
∪:@0.327581:0.782195:0.342915:0.782195:0.342915:0.764541:0.327581:0.764541:0.000000
C:@0.346780:0.781613:0.356683:0.781613:0.356683:0.765207:0.346780:0.765207:0.000000
2:@0.356603:0.784785:0.361840:0.784785:0.361840:0.775625:0.356603:0.775625:0.000000
 =:@0.366596:0.782195:0.386531:0.782195:0.386531:0.764541:0.366596:0.764541:0.000000:0.000000
  ( ):@0.386439:0.781613:0.424186:0.781613:0.424186:0.765900:0.386439:0.765900:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.390305:0.781613:0.414198:0.781613:0.414198:0.765207:0.390305:0.765207:0.000000:0.000000:0.000000
1:@0.414117:0.784785:0.419354:0.784785:0.419354:0.775625:0.414117:0.775625:0.000000
 +:@0.424112:0.782195:0.444047:0.782195:0.444047:0.764541:0.424112:0.764541:0.000000:0.000000
  ( ).:@0.443955:0.781613:0.484831:0.781613:0.484831:0.765900:0.443955:0.765900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p C:@0.447821:0.781613:0.471713:0.781613:0.471713:0.765207:0.447821:0.765207:0.000000:0.000000:0.000000
2:@0.471633:0.784785:0.476870:0.784785:0.476870:0.775625:0.471633:0.775625:0.000000
Definición. Sea   un espacio muestral, y  ,   dos eventos de  . La probabilidad condicional :@0.073098:0.812553:0.710250:0.812553:0.710250:0.796840:0.073098:0.796840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.181443:0.812553:0.189505:0.812553:0.189505:0.796147:0.181443:0.796147:0.000000
A B:@0.353624:0.812553:0.378566:0.812553:0.378566:0.796147:0.353624:0.796147:0.000000:0.000000:0.000000
S:@0.493501:0.812553:0.501563:0.812553:0.501563:0.796147:0.493501:0.796147:0.000000
del evento   dado el evento   con probabilidad  ( ) > 0 está definida como::@0.073079:0.829195:0.624156:0.829195:0.624156:0.813482:0.073079:0.813482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.154458:0.829195:0.164342:0.829195:0.164342:0.812788:0.154458:0.812788:0.000000
B:@0.281468:0.829195:0.290303:0.829195:0.290303:0.812788:0.281468:0.812788:0.000000
p B:@0.422578:0.829195:0.445403:0.829195:0.445403:0.812788:0.422578:0.812788:0.000000:0.000000:0.000000
p A B:@0.311251:0.860134:0.355612:0.860134:0.355612:0.843728:0.311251:0.843728:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.320436:0.860134:0.360417:0.860134:0.360417:0.844422:0.320436:0.844422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.360343:0.860717:0.375676:0.860717:0.375676:0.843063:0.360343:0.843063:0.000000
p A:@0.390024:0.852232:0.413898:0.852232:0.413898:0.835826:0.390024:0.835826:0.000000:0.000000:0.000000
(     ):@0.399209:0.852232:0.450620:0.852232:0.450620:0.836519:0.399209:0.836519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.417782:0.852815:0.433115:0.852815:0.433115:0.835160:0.417782:0.835160:0.000000
B:@0.436981:0.852232:0.445816:0.852232:0.445816:0.835826:0.436981:0.835826:0.000000
p B:@0.406498:0.868264:0.429323:0.868264:0.429323:0.851858:0.406498:0.851858:0.000000:0.000000:0.000000
( ):@0.415683:0.868264:0.434128:0.868264:0.434128:0.852551:0.415683:0.852551:0.000000:0.000000:0.000000
.:@0.464941:0.860123:0.468144:0.860123:0.468144:0.844410:0.464941:0.844410:0.000000
Con el ejemplo del juego del cuarenta:     :@0.073069:0.894627:0.390521:0.894627:0.390521:0.878915:0.073069:0.878915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.357480:0.894627:0.367364:0.894627:0.367364:0.878221:0.357480:0.878221:0.000000
∩ =:@0.371248:0.895210:0.414542:0.895210:0.414542:0.877555:0.371248:0.877555:0.000000:0.000000:0.000000
B A:@0.390447:0.894627:0.424335:0.894627:0.424335:0.878221:0.390447:0.878221:0.000000:0.000000:0.000000
,:@0.424261:0.894627:0.427464:0.894627:0.427464:0.878915:0.424261:0.878915:0.000000
p A B:@0.291471:0.929131:0.335833:0.929131:0.335833:0.912725:0.291471:0.912725:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.300657:0.929131:0.340637:0.929131:0.340637:0.913419:0.300657:0.913419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.340563:0.929714:0.355897:0.929714:0.355897:0.912060:0.340563:0.912060:0.000000
p A:@0.370253:0.921257:0.394127:0.921257:0.394127:0.904850:0.370253:0.904850:0.000000:0.000000:0.000000
(     ):@0.379438:0.921257:0.430849:0.921257:0.430849:0.905544:0.379438:0.905544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.398011:0.921839:0.413344:0.921839:0.413344:0.904185:0.398011:0.904185:0.000000
B:@0.417210:0.921257:0.426045:0.921257:0.426045:0.904850:0.417210:0.904850:0.000000
p B:@0.386727:0.937288:0.409552:0.937288:0.409552:0.920882:0.386727:0.920882:0.000000:0.000000:0.000000
( ):@0.395912:0.937288:0.414356:0.937288:0.414356:0.921575:0.395912:0.921575:0.000000:0.000000:0.000000
=:@0.445170:0.929730:0.460503:0.929730:0.460503:0.912076:0.445170:0.912076:0.000000
4:@0.468122:0.922624:0.477105:0.922624:0.477105:0.906911:0.468122:0.906911:0.000000
12:@0.463668:0.937144:0.481560:0.937144:0.481560:0.921431:0.463668:0.921431:0.000000:0.000000
.:@0.484726:0.929142:0.487929:0.929142:0.487929:0.913429:0.484726:0.913429:0.000000
Tema 3. Probabilidad condicional:@0.073089:0.098522:0.566935:0.098522:0.566935:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuándo dos eventos son mutuamente excluyentes?:@0.293660:0.174318:0.677672:0.174318:0.677672:0.158606:0.293660:0.158606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones con:@0.742665:0.290053:0.874427:0.290053:0.874427:0.275769:0.742665:0.275769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos:@0.742665:0.303921:0.793352:0.303921:0.793352:0.289637:0.742665:0.289637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   un conjunto :@0.742665:0.317790:0.863075:0.317790:0.863075:0.303505:0.742665:0.303505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.768920:0.317790:0.776300:0.317790:0.776300:0.302875:0.768920:0.302875:0.000000
referencial, las partes de   :@0.742648:0.331658:0.909886:0.331658:0.909886:0.317374:0.742648:0.317374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.898842:0.331658:0.906222:0.331658:0.906222:0.316743:0.898842:0.316743:0.000000
se denotan  ( ).  :@0.742648:0.345526:0.851552:0.345526:0.851552:0.331242:0.742648:0.331242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P E:@0.818520:0.345526:0.837830:0.345526:0.837830:0.330611:0.818520:0.330611:0.000000:0.000000:0.000000
Las operaciones habituales :@0.742648:0.359394:0.919960:0.359394:0.919960:0.345110:0.742648:0.345110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con conjuntos que se :@0.742648:0.373262:0.885599:0.373262:0.885599:0.358978:0.742648:0.358978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
han tratado son: unión, :@0.742648:0.387131:0.895328:0.387131:0.895328:0.372846:0.742648:0.372846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersección, diferencia, :@0.742648:0.400999:0.896648:0.400999:0.896648:0.386715:0.742648:0.386715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complemento, y diferencia :@0.742648:0.414867:0.918948:0.414867:0.918948:0.400583:0.742648:0.400583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simétrica.:@0.742648:0.428735:0.803787:0.428735:0.803787:0.414451:0.742648:0.414451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así. Sean  ,      ( ), se han:@0.742648:0.442603:0.917366:0.442603:0.917366:0.428319:0.742648:0.428319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.802405:0.442603:0.825280:0.442603:0.825280:0.427689:0.802405:0.427689:0.000000:0.000000:0.000000
∈:@0.828476:0.443133:0.842416:0.443133:0.842416:0.427084:0.828476:0.427084:0.000000
P E:@0.845595:0.442603:0.864906:0.442603:0.864906:0.427689:0.845595:0.427689:0.000000:0.000000:0.000000
definido los conjuntos:@0.742631:0.456472:0.886285:0.456472:0.886285:0.442187:0.742631:0.442187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.742631:0.470340:0.751618:0.470340:0.751618:0.455425:0.742631:0.455425:0.000000
    ,      ,      ,:@0.751383:0.470340:0.859735:0.470340:0.859735:0.456056:0.751383:0.456056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.754814:0.470869:0.768753:0.470869:0.768753:0.454820:0.754814:0.454820:0.000000
B A:@0.771932:0.470340:0.794808:0.470340:0.794808:0.455425:0.771932:0.455425:0.000000:0.000000:0.000000
∩:@0.798004:0.470869:0.811943:0.470869:0.811943:0.454820:0.798004:0.454820:0.000000
B A B:@0.815123:0.470340:0.857058:0.470340:0.857058:0.455425:0.815123:0.455425:0.000000:0.000000:0.000000:0.000000:0.000000
∖:@0.841194:0.470869:0.845846:0.470869:0.845846:0.454820:0.841194:0.454820:0.000000
A  A:@0.742631:0.484208:0.771285:0.484208:0.771285:0.469293:0.742631:0.469293:0.000000:0.000000:0.000000:0.000000
C:@0.751423:0.478695:0.756984:0.478695:0.756984:0.470368:0.751423:0.470368:0.000000
,     .:@0.756844:0.484208:0.799548:0.484208:0.799548:0.469924:0.756844:0.469924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.774498:0.484738:0.785659:0.484738:0.785659:0.468688:0.774498:0.468688:0.000000
B:@0.788839:0.484208:0.796871:0.484208:0.796871:0.469293:0.788839:0.469293:0.000000
Sea   un espacio :@0.742687:0.498076:0.853599:0.498076:0.853599:0.483792:0.742687:0.483792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.768942:0.498076:0.776272:0.498076:0.776272:0.483162:0.768942:0.483162:0.000000
muestral, las operaciones :@0.742670:0.511944:0.908330:0.511944:0.908330:0.497660:0.742670:0.497660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con sucesos son las :@0.742670:0.525813:0.872039:0.525813:0.872039:0.511528:0.742670:0.511528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones conjuntistas :@0.742670:0.539681:0.907281:0.539681:0.907281:0.525397:0.742670:0.525397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precedentes.:@0.742670:0.553549:0.826103:0.553549:0.826103:0.539265:0.742670:0.539265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, sea  ,      ,:@0.742670:0.567417:0.845299:0.567417:0.845299:0.553133:0.742670:0.553133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.792102:0.567417:0.814977:0.567417:0.814977:0.552503:0.792102:0.552503:0.000000:0.000000:0.000000
∈:@0.818173:0.567947:0.832112:0.567947:0.832112:0.551897:0.818173:0.551897:0.000000
S:@0.835292:0.567417:0.842621:0.567417:0.842621:0.552503:0.835292:0.552503:0.000000
• :@0.742665:0.581285:0.750229:0.581285:0.750229:0.567001:0.742665:0.567001:0.000000:0.000000
A   B:@0.756895:0.581285:0.792940:0.581285:0.792940:0.566371:0.756895:0.566371:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.768442:0.581815:0.782381:0.581815:0.782381:0.565766:0.768442:0.565766:0.000000
 es un suceso si y :@0.792723:0.581285:0.905894:0.581285:0.905894:0.567001:0.792723:0.567001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo si A o B ocurren.:@0.742672:0.595154:0.875592:0.595154:0.875592:0.580869:0.742672:0.580869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.742665:0.609022:0.750229:0.609022:0.750229:0.594738:0.742665:0.594738:0.000000:0.000000
A   B:@0.756895:0.609022:0.792940:0.609022:0.792940:0.594107:0.756895:0.594107:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.768442:0.609551:0.782381:0.609551:0.782381:0.593502:0.768442:0.593502:0.000000
 es un suceso si y :@0.792723:0.609022:0.905894:0.609022:0.905894:0.594738:0.792723:0.594738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo si A y B ocurren.:@0.742672:0.622890:0.874053:0.622890:0.874053:0.608606:0.742672:0.608606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.742665:0.636758:0.750229:0.636758:0.750229:0.622474:0.742665:0.622474:0.000000:0.000000
A   B:@0.756895:0.636758:0.783653:0.636758:0.783653:0.621844:0.756895:0.621844:0.000000:0.000000:0.000000:0.000000:0.000000
∖:@0.768442:0.637288:0.773094:0.637288:0.773094:0.621238:0.768442:0.621238:0.000000
 es un suceso si y :@0.783435:0.636758:0.896606:0.636758:0.896606:0.622474:0.783435:0.622474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo si el suceso   ocurre :@0.742672:0.650626:0.905680:0.650626:0.905680:0.636342:0.742672:0.636342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.847844:0.650626:0.856830:0.650626:0.856830:0.635712:0.847844:0.635712:0.000000
pero no  .:@0.742672:0.664495:0.807666:0.664495:0.807666:0.650210:0.742672:0.650210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.796956:0.664495:0.804989:0.664495:0.804989:0.649580:0.796956:0.649580:0.000000
• :@0.742665:0.678363:0.750229:0.678363:0.750229:0.664079:0.742665:0.664079:0.000000:0.000000
A:@0.756895:0.678363:0.765881:0.678363:0.765881:0.663448:0.756895:0.663448:0.000000
C:@0.765654:0.672850:0.771215:0.672850:0.771215:0.664522:0.765654:0.664522:0.000000
 es un suceso que :@0.771074:0.678363:0.889784:0.678363:0.889784:0.664079:0.771074:0.664079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ocurre si y solo si el suceso :@0.742660:0.692231:0.916863:0.692231:0.916863:0.677947:0.742660:0.677947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.742660:0.706099:0.751646:0.706099:0.751646:0.691185:0.742660:0.691185:0.000000
 no ocurre.:@0.751412:0.706099:0.820168:0.706099:0.820168:0.691815:0.751412:0.691815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.742665:0.248856:0.851225:0.248856:0.851225:0.231909:0.742665:0.231909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.742665:0.265498:0.840141:0.265498:0.840141:0.248551:0.742665:0.248551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad.:@0.745197:0.851569:0.825684:0.851569:0.825684:0.837930:0.745197:0.837930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En un proceso :@0.825437:0.851569:0.915297:0.851569:0.915297:0.838713:0.825437:0.838713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aleatorio, razón entre el :@0.745195:0.865185:0.883527:0.865185:0.883527:0.852329:0.745195:0.852329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de casos favorables y :@0.745195:0.878801:0.920016:0.878801:0.920016:0.865945:0.745195:0.865945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de casos posibles.:@0.745195:0.892417:0.911452:0.892417:0.911452:0.879561:0.745195:0.879561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evento.:@0.745195:0.906033:0.790071:0.906033:0.790071:0.892394:0.745195:0.892394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Eventualidad, hecho:@0.789849:0.906033:0.911145:0.906033:0.911145:0.893177:0.789849:0.893177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprevisto o que puede :@0.745195:0.919649:0.888366:0.919649:0.888366:0.906793:0.745195:0.906793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acaecer.:@0.745195:0.933265:0.791818:0.933265:0.791818:0.920409:0.745195:0.920409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.794883:0.829824:0.860464:0.829824:0.860464:0.812877:0.794883:0.812877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 4) Usa la probabilidad frecuencial para interpretar la posibilidad de ocurrencia de un evento dado.:@0.079458:0.972010:0.655436:0.972010:0.655436:0.960583:0.079458:0.960583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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