186:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Probabilidad y estadística:@0.073089:0.043661:0.304012:0.043661:0.304012:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La regla de Laplace para el :@0.080953:0.186502:0.254357:0.186502:0.254357:0.172218:0.080953:0.172218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo de probabilidades :@0.080953:0.201631:0.250612:0.201631:0.250612:0.187347:0.080953:0.187347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establece que la :@0.080953:0.216760:0.189254:0.216760:0.189254:0.202476:0.080953:0.202476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad de un suceso :@0.080953:0.231889:0.256218:0.231889:0.256218:0.217605:0.080953:0.217605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquiera   es el cociente :@0.080953:0.247018:0.255313:0.247018:0.255313:0.232734:0.080953:0.232734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.151570:0.247018:0.160556:0.247018:0.160556:0.232103:0.151570:0.232103:0.000000
entre el número de casos :@0.080953:0.262147:0.247662:0.262147:0.247662:0.247862:0.080953:0.247862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
favorables de   sobre el :@0.080953:0.277276:0.236822:0.277276:0.236822:0.262991:0.080953:0.262991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.170044:0.277276:0.179030:0.277276:0.179030:0.262361:0.170044:0.262361:0.000000
número de casos posibles.:@0.080953:0.292405:0.251056:0.292405:0.251056:0.278120:0.080953:0.278120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.080953:0.319763:0.102205:0.319763:0.102205:0.304848:0.080953:0.304848:0.000000:0.000000:0.000000
( ):@0.088851:0.319763:0.106572:0.319763:0.106572:0.305479:0.088851:0.305479:0.000000:0.000000:0.000000
=:@0.106505:0.320292:0.120445:0.320292:0.120445:0.304243:0.106505:0.304243:0.000000
n.°casos favorables de A:@0.122267:0.310134:0.241568:0.310134:0.241568:0.298203:0.122267:0.298203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n.  de casos posibles:@0.131678:0.326333:0.232167:0.326333:0.232167:0.314401:0.131678:0.314401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
°:@0.140916:0.326333:0.144851:0.326333:0.144851:0.314905:0.140916:0.314905:0.000000
Las propiedades de la :@0.080953:0.345618:0.227871:0.345618:0.227871:0.331334:0.080953:0.331334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad son::@0.080953:0.360747:0.195874:0.360747:0.195874:0.346463:0.080953:0.346463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.080953:0.386592:0.089119:0.386592:0.089119:0.372308:0.080953:0.372308:0.000000
≤:@0.090056:0.387122:0.103995:0.387122:0.103995:0.371073:0.090056:0.371073:0.000000
P A:@0.104915:0.386592:0.128176:0.386592:0.128176:0.371678:0.104915:0.371678:0.000000:0.000000:0.000000
( ) 1. :@0.113818:0.386592:0.165024:0.386592:0.165024:0.372308:0.113818:0.372308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.134484:0.387122:0.148424:0.387122:0.148424:0.371073:0.134484:0.371073:0.000000
La probabilidad de un :@0.080969:0.401721:0.229762:0.401721:0.229762:0.387437:0.080969:0.387437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suceso es un número :@0.080969:0.416850:0.225813:0.416850:0.225813:0.402566:0.080969:0.402566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprendido entre 0 y 1.:@0.080969:0.431979:0.247552:0.431979:0.247552:0.417695:0.080969:0.417695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P E:@0.080969:0.457824:0.102623:0.457824:0.102623:0.442910:0.080969:0.442910:0.000000:0.000000:0.000000
( ) 1,  ( ) 0. La :@0.089872:0.457824:0.225930:0.457824:0.225930:0.443540:0.089872:0.443540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.108932:0.458354:0.122871:0.458354:0.122871:0.442305:0.108932:0.442305:0.000000
P:@0.141328:0.457824:0.149294:0.457824:0.149294:0.442910:0.141328:0.442910:0.000000
∅ =:@0.155602:0.458354:0.189773:0.458354:0.189773:0.442305:0.155602:0.442305:0.000000:0.000000:0.000000
probabilidad del suceso :@0.080986:0.472953:0.242428:0.472953:0.242428:0.458669:0.080986:0.458669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguro es 1, y la del suceso :@0.080986:0.488082:0.261387:0.488082:0.261387:0.473798:0.080986:0.473798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imposible es 0.:@0.080986:0.503211:0.178796:0.503211:0.178796:0.488927:0.080986:0.488927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.080953:0.145303:0.189513:0.145303:0.189513:0.128356:0.080953:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.161945:0.178428:0.161945:0.178428:0.144998:0.080953:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad condicional no está definida en el caso  ( ) 0.:@0.293660:0.140040:0.750523:0.140040:0.750523:0.124327:0.293660:0.124327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.695614:0.140040:0.718439:0.140040:0.718439:0.123634:0.695614:0.123634:0.000000:0.000000:0.000000
=:@0.723170:0.140622:0.738503:0.140622:0.738503:0.122968:0.723170:0.122968:0.000000
Esto significa que el evento   jamás ocurre, con lo que no tiene sentido hablar acerca de :@0.293655:0.174544:0.931273:0.174544:0.931273:0.158831:0.293655:0.158831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.493503:0.174544:0.502338:0.174544:0.502338:0.158138:0.493503:0.158138:0.000000
la probabilidad de   conociendo  ( ) 0.:@0.293655:0.191186:0.589386:0.191186:0.589386:0.175473:0.293655:0.175473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.429261:0.191186:0.439146:0.191186:0.439146:0.174780:0.429261:0.174780:0.000000
p B:@0.534477:0.191186:0.557302:0.191186:0.557302:0.174780:0.534477:0.174780:0.000000:0.000000:0.000000
=:@0.562033:0.191768:0.577366:0.191768:0.577366:0.174114:0.562033:0.174114:0.000000
De la definición de probabilidad condicional, se deduce inmediatamente que::@0.293637:0.225690:0.858066:0.225690:0.858066:0.209977:0.293637:0.209977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.293660:0.260214:0.305146:0.260214:0.305146:0.244501:0.293660:0.244501:0.000000:0.000000
Si los eventos  ,  son disjuntos, esto es,     :@0.323861:0.260214:0.648087:0.260214:0.648087:0.244501:0.323861:0.244501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.425911:0.260214:0.450927:0.260214:0.450927:0.243808:0.425911:0.243808:0.000000:0.000000:0.000000:0.000000
A:@0.615046:0.260214:0.624930:0.260214:0.624930:0.243808:0.615046:0.243808:0.000000
∩ =∅:@0.628814:0.260796:0.687349:0.260796:0.687349:0.243142:0.628814:0.243142:0.000000:0.000000:0.000000:0.000000
B:@0.648013:0.260214:0.656849:0.260214:0.656849:0.243808:0.648013:0.243808:0.000000
, entonces  ( ) 0, y:@0.687257:0.260214:0.839044:0.260214:0.839044:0.244501:0.687257:0.244501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.765672:0.260214:0.774931:0.260214:0.774931:0.243808:0.765672:0.243808:0.000000
∅ =:@0.779662:0.260796:0.815041:0.260796:0.815041:0.243142:0.779662:0.243142:0.000000:0.000000:0.000000
p A B:@0.452399:0.305452:0.496761:0.305452:0.496761:0.289046:0.452399:0.289046:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.461584:0.305452:0.501565:0.305452:0.501565:0.289739:0.461584:0.289739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.501491:0.306035:0.516825:0.306035:0.516825:0.288380:0.501491:0.288380:0.000000
p A:@0.531142:0.297552:0.555016:0.297552:0.555016:0.281146:0.531142:0.281146:0.000000:0.000000:0.000000
(     ):@0.540327:0.297552:0.591739:0.297552:0.591739:0.281840:0.540327:0.281840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.558900:0.298135:0.574234:0.298135:0.574234:0.280480:0.558900:0.280480:0.000000
B:@0.578099:0.297552:0.586935:0.297552:0.586935:0.281146:0.578099:0.281146:0.000000
p B:@0.547617:0.313584:0.570442:0.313584:0.570442:0.297178:0.547617:0.297178:0.000000:0.000000:0.000000
( ):@0.556802:0.313584:0.575246:0.313584:0.575246:0.297871:0.556802:0.297871:0.000000:0.000000:0.000000
=:@0.606060:0.306026:0.621393:0.306026:0.621393:0.288371:0.606060:0.288371:0.000000
p:@0.630367:0.297790:0.639626:0.297790:0.639626:0.281384:0.630367:0.281384:0.000000
( ):@0.639553:0.297790:0.664476:0.297790:0.664476:0.282078:0.639553:0.282078:0.000000:0.000000:0.000000
∅:@0.644357:0.298373:0.659690:0.298373:0.659690:0.280719:0.644357:0.280719:0.000000
p B:@0.633607:0.313822:0.656432:0.313822:0.656432:0.297416:0.633607:0.297416:0.000000:0.000000:0.000000
( ):@0.642792:0.313822:0.661236:0.313822:0.661236:0.298109:0.642792:0.298109:0.000000:0.000000:0.000000
=:@0.673440:0.306028:0.688773:0.306028:0.688773:0.288374:0.673440:0.288374:0.000000
0:@0.710312:0.297664:0.719294:0.297664:0.719294:0.281952:0.710312:0.281952:0.000000
p B:@0.700979:0.313862:0.723804:0.313862:0.723804:0.297456:0.700979:0.297456:0.000000:0.000000:0.000000
( ):@0.710164:0.313862:0.728608:0.313862:0.728608:0.298150:0.710164:0.298150:0.000000:0.000000:0.000000
=:@0.740812:0.306027:0.756146:0.306027:0.756146:0.288373:0.740812:0.288373:0.000000
0.:@0.756054:0.305444:0.768166:0.305444:0.768166:0.289732:0.756054:0.289732:0.000000:0.000000
b. De manera similar, si       y  ( )   0, entonces     :@0.293660:0.350677:0.704284:0.350677:0.704284:0.334965:0.293660:0.334965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.475592:0.350677:0.484428:0.350677:0.484428:0.334271:0.475592:0.334271:0.000000
⊂:@0.488312:0.351260:0.503645:0.351260:0.503645:0.333606:0.488312:0.333606:0.000000
A p B:@0.507511:0.350677:0.556069:0.350677:0.556069:0.334271:0.507511:0.334271:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.564739:0.351260:0.580072:0.351260:0.580072:0.333606:0.564739:0.333606:0.000000
A:@0.671243:0.350677:0.681128:0.350677:0.681128:0.334271:0.671243:0.334271:0.000000
∩ =:@0.685012:0.351260:0.728306:0.351260:0.728306:0.333606:0.685012:0.333606:0.000000:0.000000:0.000000
B B:@0.704210:0.350677:0.737049:0.350677:0.737049:0.334271:0.704210:0.334271:0.000000:0.000000:0.000000
 y en consecuencia,:@0.736975:0.350677:0.878693:0.350677:0.878693:0.334965:0.736975:0.334965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A B:@0.486066:0.395916:0.530428:0.395916:0.530428:0.379509:0.486066:0.379509:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.495251:0.395916:0.535232:0.395916:0.535232:0.380203:0.495251:0.380203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.535158:0.396498:0.550492:0.396498:0.550492:0.378844:0.535158:0.378844:0.000000
p A:@0.564832:0.388016:0.588707:0.388016:0.588707:0.371610:0.564832:0.371610:0.000000:0.000000:0.000000
(     ):@0.574018:0.388016:0.625429:0.388016:0.625429:0.372303:0.574018:0.372303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.592591:0.388598:0.607924:0.388598:0.607924:0.370944:0.592591:0.370944:0.000000
B:@0.611789:0.388016:0.620625:0.388016:0.620625:0.371610:0.611789:0.371610:0.000000
p B:@0.581307:0.404047:0.604132:0.404047:0.604132:0.387641:0.581307:0.387641:0.000000:0.000000:0.000000
( ):@0.590492:0.404047:0.608936:0.404047:0.608936:0.388335:0.590492:0.388335:0.000000:0.000000:0.000000
=:@0.639750:0.396489:0.655083:0.396489:0.655083:0.378835:0.639750:0.378835:0.000000
p B:@0.667294:0.385212:0.690119:0.385212:0.690119:0.368806:0.667294:0.368806:0.000000:0.000000:0.000000
( ):@0.676479:0.385212:0.694923:0.385212:0.694923:0.369499:0.676479:0.369499:0.000000:0.000000:0.000000
p B:@0.667294:0.401410:0.690119:0.401410:0.690119:0.385004:0.667294:0.385004:0.000000:0.000000:0.000000
( ):@0.676479:0.401410:0.694923:0.401410:0.694923:0.385697:0.676479:0.385697:0.000000:0.000000:0.000000
=:@0.707127:0.396501:0.722460:0.396501:0.722460:0.378846:0.707127:0.378846:0.000000
1.:@0.722368:0.395918:0.734480:0.395918:0.734480:0.380205:0.722368:0.380205:0.000000:0.000000
c.:@0.293660:0.441141:0.304797:0.441141:0.304797:0.425428:0.293660:0.425428:0.000000:0.000000
Si       y  ( )   0, entonces      = ,  ( )    ( ), luego,:@0.323861:0.441141:0.736489:0.441141:0.736489:0.425428:0.323861:0.425428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.340041:0.441141:0.349926:0.441141:0.349926:0.424735:0.340041:0.424735:0.000000
⊂:@0.353810:0.441723:0.369143:0.441723:0.369143:0.424069:0.353810:0.424069:0.000000
B p B:@0.373009:0.441141:0.420518:0.441141:0.420518:0.424735:0.373009:0.424735:0.000000:0.000000:0.000000:0.000000:0.000000
>:@0.429188:0.441723:0.444521:0.441723:0.444521:0.424069:0.429188:0.424069:0.000000
A:@0.535692:0.441141:0.545577:0.441141:0.545577:0.424735:0.535692:0.424735:0.000000
∩:@0.549461:0.441723:0.564794:0.441723:0.564794:0.424069:0.549461:0.424069:0.000000
B A p A:@0.568659:0.441141:0.629072:0.441141:0.629072:0.424735:0.568659:0.424735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤:@0.637742:0.441723:0.653075:0.441723:0.653075:0.424069:0.637742:0.424069:0.000000
p B:@0.656941:0.441141:0.679766:0.441141:0.679766:0.424735:0.656941:0.424735:0.000000:0.000000:0.000000
p A B:@0.486048:0.486379:0.530409:0.486379:0.530409:0.469973:0.486048:0.469973:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.495233:0.486379:0.535213:0.486379:0.535213:0.470666:0.495233:0.470666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.535140:0.486962:0.550473:0.486962:0.550473:0.469307:0.535140:0.469307:0.000000
p A:@0.564832:0.478479:0.588707:0.478479:0.588707:0.462073:0.564832:0.462073:0.000000:0.000000:0.000000
(     ):@0.574018:0.478479:0.625429:0.478479:0.625429:0.462767:0.574018:0.462767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.592591:0.479062:0.607924:0.479062:0.607924:0.461407:0.592591:0.461407:0.000000
B:@0.611789:0.478479:0.620625:0.478479:0.620625:0.462073:0.611789:0.462073:0.000000
p B:@0.581307:0.494511:0.604132:0.494511:0.604132:0.478105:0.581307:0.478105:0.000000:0.000000:0.000000
( ):@0.590492:0.494511:0.608936:0.494511:0.608936:0.478798:0.590492:0.478798:0.000000:0.000000:0.000000
=:@0.639750:0.486953:0.655083:0.486953:0.655083:0.469298:0.639750:0.469298:0.000000
p A:@0.666770:0.475675:0.690644:0.475675:0.690644:0.459269:0.666770:0.459269:0.000000:0.000000:0.000000
( ):@0.675955:0.475675:0.695449:0.475675:0.695449:0.459963:0.675955:0.459963:0.000000:0.000000:0.000000
p B:@0.667286:0.491873:0.690111:0.491873:0.690111:0.475467:0.667286:0.475467:0.000000:0.000000:0.000000
( ):@0.676471:0.491873:0.694915:0.491873:0.694915:0.476161:0.676471:0.476161:0.000000:0.000000:0.000000
≤:@0.707119:0.486964:0.722452:0.486964:0.722452:0.469310:0.707119:0.469310:0.000000
1.:@0.722360:0.486382:0.734472:0.486382:0.734472:0.470669:0.722360:0.470669:0.000000:0.000000
Con base en la probabilidad condicional, se definen los eventos dependientes e :@0.293637:0.531620:0.931004:0.531620:0.931004:0.515907:0.293637:0.515907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independientes y las probabilidades de esta clase de eventos.:@0.293637:0.548261:0.739124:0.548261:0.739124:0.532549:0.293637:0.532549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición. Sean   un espacio muestral, y  ,   dos eventos de  .:@0.293637:0.582766:0.747007:0.582766:0.747007:0.567053:0.293637:0.567053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.414370:0.582766:0.422432:0.582766:0.422432:0.566359:0.414370:0.566359:0.000000
A B:@0.591503:0.582766:0.617218:0.582766:0.617218:0.566359:0.591503:0.566359:0.000000:0.000000:0.000000
S:@0.735816:0.582766:0.743878:0.582766:0.743878:0.566359:0.735816:0.566359:0.000000
a.:@0.293660:0.610121:0.305146:0.610121:0.305146:0.594408:0.293660:0.594408:0.000000:0.000000
Se dice que estos dos eventos son independientes si y solo si se verifica:@0.323861:0.610121:0.840662:0.610121:0.840662:0.594408:0.323861:0.594408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A B:@0.562732:0.637483:0.607094:0.637483:0.607094:0.621077:0.562732:0.621077:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.571918:0.637483:0.611898:0.637483:0.611898:0.621770:0.571918:0.621770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.611824:0.638066:0.627158:0.638066:0.627158:0.620411:0.611824:0.620411:0.000000
p B:@0.627066:0.637483:0.649891:0.637483:0.649891:0.621077:0.627066:0.621077:0.000000:0.000000:0.000000
( ).:@0.636251:0.637483:0.657824:0.637483:0.657824:0.621770:0.636251:0.621770:0.000000:0.000000:0.000000:0.000000
b. La probabilidad de los eventos independientes  ,  está relacionada como::@0.293660:0.664848:0.864346:0.664848:0.864346:0.649135:0.293660:0.649135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.668151:0.664848:0.693166:0.664848:0.693166:0.648442:0.668151:0.648442:0.000000:0.000000:0.000000:0.000000
p A:@0.530888:0.692210:0.554762:0.692210:0.554762:0.675803:0.530888:0.675803:0.000000:0.000000:0.000000
(     ):@0.540073:0.692210:0.591484:0.692210:0.591484:0.676497:0.540073:0.676497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩ =:@0.558646:0.692792:0.606744:0.692792:0.606744:0.675138:0.558646:0.675138:0.000000:0.000000:0.000000
B:@0.577845:0.692210:0.586680:0.692210:0.586680:0.675803:0.577845:0.675803:0.000000
p A:@0.606652:0.692210:0.630526:0.692210:0.630526:0.675803:0.606652:0.675803:0.000000:0.000000:0.000000
( ):@0.615837:0.692210:0.635331:0.692210:0.635331:0.676497:0.615837:0.676497:0.000000:0.000000:0.000000
 ×:@0.635257:0.692792:0.655192:0.692792:0.655192:0.675138:0.635257:0.675138:0.000000:0.000000
  ( ).:@0.655100:0.692210:0.689724:0.692210:0.689724:0.676497:0.655100:0.676497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.658965:0.692210:0.681790:0.692210:0.681790:0.675803:0.658965:0.675803:0.000000:0.000000:0.000000
c.:@0.293660:0.719573:0.304797:0.719573:0.304797:0.703860:0.293660:0.703860:0.000000:0.000000
La probabilidad de los eventos dependientes  ,  está relacionada como::@0.323861:0.719573:0.850780:0.719573:0.850780:0.703860:0.323861:0.703860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.654585:0.719573:0.679600:0.719573:0.679600:0.703167:0.654585:0.703167:0.000000:0.000000:0.000000:0.000000
p A:@0.520101:0.746935:0.543975:0.746935:0.543975:0.730529:0.520101:0.730529:0.000000:0.000000:0.000000
(     ):@0.529286:0.746935:0.580698:0.746935:0.580698:0.731222:0.529286:0.731222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩ =:@0.547859:0.747517:0.595957:0.747517:0.595957:0.729863:0.547859:0.729863:0.000000:0.000000:0.000000
B:@0.567058:0.746935:0.575894:0.746935:0.575894:0.730529:0.567058:0.730529:0.000000
p A:@0.595865:0.746935:0.619740:0.746935:0.619740:0.730529:0.595865:0.730529:0.000000:0.000000:0.000000
( ):@0.605051:0.746935:0.624544:0.746935:0.624544:0.731222:0.605051:0.731222:0.000000:0.000000:0.000000
 ×:@0.624470:0.747517:0.644405:0.747517:0.644405:0.729863:0.624470:0.729863:0.000000:0.000000
  (  |  ).:@0.644313:0.746935:0.700474:0.746935:0.700474:0.731222:0.644313:0.731222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B A:@0.648179:0.746935:0.692540:0.746935:0.692540:0.730529:0.648179:0.730529:0.000000:0.000000:0.000000:0.000000:0.000000
La negación de dos eventos independientes hace que los eventos sean claramente :@0.293655:0.774297:0.930583:0.774297:0.930583:0.758584:0.293655:0.758584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dependientes.:@0.293655:0.790938:0.397678:0.790938:0.397678:0.775226:0.293655:0.775226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota que dos eventos,  , , son independientes si la ocurrencia de uno de ellos no altera :@0.293655:0.818300:0.931290:0.818300:0.931290:0.802588:0.293655:0.802588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  B:@0.459007:0.818300:0.483793:0.818300:0.483793:0.801894:0.459007:0.801894:0.000000:0.000000:0.000000:0.000000
la probabilidad de que el otro evento suceda. Se tiene::@0.293655:0.834942:0.687694:0.834942:0.687694:0.819230:0.293655:0.819230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.492288:0.862304:0.518371:0.862304:0.518371:0.845898:0.492288:0.845898:0.000000:0.000000:0.000000
( ):@0.502577:0.862304:0.524280:0.862304:0.524280:0.846592:0.502577:0.846592:0.000000:0.000000:0.000000
=:@0.525310:0.862887:0.540644:0.862887:0.540644:0.845232:0.525310:0.845232:0.000000
p A B:@0.541656:0.862304:0.592644:0.862304:0.592644:0.845898:0.541656:0.845898:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) y  ( ):@0.551946:0.862304:0.649743:0.862304:0.649743:0.846592:0.551946:0.846592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.618801:0.862304:0.643835:0.862304:0.643835:0.845898:0.618801:0.845898:0.000000:0.000000:0.000000
=:@0.650774:0.862887:0.666107:0.862887:0.666107:0.845232:0.650774:0.845232:0.000000
p B A:@0.667120:0.862304:0.718108:0.862304:0.718108:0.845898:0.667120:0.845898:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ).:@0.677410:0.862304:0.728250:0.862304:0.728250:0.846592:0.677410:0.846592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si se lanzan dos monedas de un dólar, el resultado de obtener una cara o :@0.293618:0.889666:0.930918:0.889666:0.930918:0.873953:0.293618:0.873953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una cruz de una de ellas no se ve afectada por el resultado de cara o cruz de la otra :@0.293618:0.906308:0.930752:0.906308:0.930752:0.890595:0.293618:0.890595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
moneda.:@0.293618:0.922950:0.358412:0.922950:0.358412:0.907237:0.293618:0.907237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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