43:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000 La probabilidad de depende de la bolsa de la cual vamos a extraer :@0.108233:0.096194:0.599859:0.096194:0.599859:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.246556:0.096310:0.257826:0.096310:0.257826:0.079841:0.246556:0.079841:0.000000 la pelota.:@0.108233:0.113545:0.172673:0.113545:0.172673:0.097047:0.108233:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para encontrar la probabilidad de , basta con multiplicar las proba-:@0.108233:0.148246:0.595754:0.148246:0.595754:0.131749:0.108233:0.131749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.351126:0.148362:0.362396:0.148362:0.362396:0.131893:0.351126:0.131893:0.000000 bilidades de cada rama que llegue la pelota verde y, luego sumamos :@0.108233:0.165597:0.599994:0.165597:0.599994:0.149100:0.108233:0.149100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los resultados.:@0.108233:0.182948:0.207929:0.182948:0.207929:0.166450:0.108233:0.166450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p A:@0.108233:0.217765:0.134723:0.217765:0.134723:0.201296:0.108233:0.201296:0.000000:0.000000:0.000000 ( ) = · + · = + = = 0,559.:@0.117500:0.217649:0.460614:0.217649:0.460614:0.201152:0.117500:0.201152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108233:0.235000:0.112375:0.235000:0.112375:0.218503:0.108233:0.218503:0.000000 Después, existe el 55,9 % de probabilidades de que la pelota que se :@0.108233:0.252351:0.599817:0.252351:0.599817:0.235853:0.108233:0.235853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 extraiga sea de color verde.:@0.108233:0.269702:0.299418:0.269702:0.299418:0.253204:0.108233:0.253204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Teorema de Bayes:@0.108233:0.305801:0.251002:0.305801:0.251002:0.288118:0.108233:0.288118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Como consecuencia de la definición de probabilidad total y de la :@0.108233:0.322508:0.599932:0.322508:0.599932:0.306011:0.108233:0.306011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 probabilidad condicionada, enunciamos el famoso teorema de Bayes.:@0.108233:0.339859:0.595713:0.339859:0.595713:0.323361:0.108233:0.323361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Supongamos que el evento puede ocurrir a condición de que apa-:@0.108233:0.373057:0.595750:0.373057:0.595750:0.356559:0.108233:0.356559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.306490:0.373173:0.317760:0.373173:0.317760:0.356704:0.306490:0.356704:0.000000 rezca uno de los eventos :@0.108233:0.390408:0.287587:0.390408:0.287587:0.373910:0.108233:0.373910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B , B , … , B:@0.287702:0.390523:0.366629:0.390518:0.366629:0.374050:0.287702:0.374055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.296904:0.393748:0.301610:0.393748:0.301610:0.384147:0.296904:0.384147:0.000000 2:@0.319032:0.393748:0.323738:0.393748:0.323738:0.384147:0.319032:0.384147:0.000000 n:@0.366557:0.393748:0.372015:0.393748:0.372015:0.384147:0.366557:0.384147:0.000000 . Si ya ocurrió, la probabilidad :@0.372015:0.390403:0.599903:0.390403:0.599903:0.373905:0.372015:0.373905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.395094:0.390518:0.406365:0.390518:0.406365:0.374050:0.395094:0.374050:0.000000 condicional del evento es igual a::@0.108235:0.407753:0.356248:0.407753:0.356248:0.391256:0.108235:0.391256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.274222:0.407869:0.283412:0.407869:0.283412:0.391400:0.274222:0.391400:0.000000 i:@0.283353:0.411099:0.285565:0.411099:0.285565:0.401498:0.283353:0.401498:0.000000 p B A:@0.108229:0.442571:0.159361:0.442571:0.159361:0.426102:0.108229:0.426102:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) =:@0.117495:0.442455:0.180263:0.442455:0.180263:0.425957:0.117495:0.425957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.132584:0.445800:0.134797:0.445800:0.134797:0.436199:0.132584:0.436199:0.000000 p B A:@0.108231:0.484400:0.159361:0.484401:0.159361:0.467932:0.108231:0.467932:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) =:@0.117497:0.484285:0.180263:0.484285:0.180263:0.467788:0.117497:0.467787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.132584:0.487629:0.134797:0.487629:0.134797:0.478028:0.132584:0.478028:0.000000 p B A:@0.108231:0.529788:0.159361:0.529795:0.159361:0.513326:0.108231:0.513319:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) = .:@0.117497:0.529672:0.315563:0.529679:0.315563:0.513181:0.117497:0.513174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.132584:0.533023:0.134797:0.533023:0.134797:0.523422:0.132584:0.523422:0.000000 Ejercicio resuelto:@0.108231:0.582107:0.226209:0.582107:0.226209:0.565320:0.108231:0.565320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En una institución educativa se dictan dos idiomas: inglés y mandarín. :@0.108231:0.599082:0.599878:0.599082:0.599878:0.582584:0.108231:0.582584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El 75 % de los estudiantes optó por la asignatura de inglés y el resto, :@0.108231:0.616433:0.599917:0.616433:0.599917:0.599935:0.108231:0.599935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por mandarín. Además, los estudiantes pueden o no jugar fútbol.:@0.108231:0.633783:0.569395:0.633783:0.569395:0.617286:0.108231:0.617286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si se elige un estudiante al azar, ¿cuál es la probabilidad de que sea de :@0.108231:0.651134:0.599934:0.651134:0.599934:0.634637:0.108231:0.634637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la clase de inglés y que juegue fútbol?:@0.108231:0.668485:0.372529:0.668485:0.372529:0.651987:0.108231:0.651987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sea: = “clase de inglés” ; :@0.108231:0.703186:0.284754:0.703186:0.284754:0.686689:0.108231:0.686689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I:@0.139440:0.703302:0.143447:0.703302:0.143447:0.686833:0.139440:0.686833:0.000000 M:@0.108231:0.720653:0.123508:0.720653:0.123508:0.704184:0.108231:0.704184:0.000000 = “clase de mandarín”; :@0.123508:0.720537:0.288783:0.720537:0.288783:0.704040:0.123508:0.704040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.108231:0.738004:0.115783:0.738004:0.115783:0.721535:0.108231:0.721535:0.000000 = “fútbol”; = “otro deporte”. :@0.115783:0.737888:0.334844:0.737888:0.334844:0.721390:0.115783:0.721390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.200394:0.738004:0.207945:0.738004:0.207945:0.721535:0.200394:0.721535:0.000000 Se nos pide ( | ). Elaboramos :@0.108231:0.755239:0.334499:0.755239:0.334499:0.738741:0.108231:0.738741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p I F:@0.193961:0.755354:0.234033:0.755354:0.234033:0.738886:0.193961:0.738886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el diagrama del árbol.:@0.108231:0.772589:0.258902:0.772589:0.258902:0.756092:0.108231:0.756092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108233:0.789026:0.112195:0.789026:0.112195:0.773245:0.108233:0.773245:0.000000 Por el teorema de Bayes tenemos::@0.108233:0.839729:0.335347:0.839729:0.335347:0.823232:0.108233:0.823232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 2:@0.166205:0.210064:0.200330:0.210064:0.200330:0.193567:0.166205:0.193567:0.000000:0.000000:0.000000 6 9:@0.166205:0.226403:0.200330:0.226403:0.200330:0.209905:0.166205:0.209905:0.000000:0.000000:0.000000 4:@0.228029:0.210064:0.236525:0.210064:0.236525:0.193567:0.228029:0.193567:0.000000 6 11:@0.228029:0.226403:0.268884:0.226403:0.268884:0.209905:0.228029:0.209905:0.000000:0.000000:0.000000:0.000000 8:@0.256034:0.210064:0.264530:0.210064:0.264530:0.193567:0.256034:0.193567:0.000000 4:@0.297954:0.210064:0.306450:0.210064:0.306450:0.193567:0.297954:0.193567:0.000000 54:@0.293619:0.226403:0.310804:0.226403:0.310804:0.209905:0.293619:0.209905:0.000000:0.000000 32:@0.332181:0.210064:0.349365:0.210064:0.349365:0.193567:0.332181:0.193567:0.000000:0.000000 66:@0.332181:0.226403:0.349365:0.226403:0.349365:0.209905:0.332181:0.209905:0.000000:0.000000 166:@0.372830:0.210064:0.398704:0.210064:0.398704:0.193567:0.372830:0.193567:0.000000:0.000000:0.000000 297:@0.372830:0.226403:0.398704:0.226403:0.398704:0.209905:0.372830:0.209905:0.000000:0.000000:0.000000 p A:@0.190539:0.434723:0.217029:0.434723:0.217029:0.418254:0.190539:0.418254:0.000000:0.000000:0.000000 ( ):@0.199806:0.434607:0.258716:0.434607:0.258716:0.418109:0.199806:0.418109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.221171:0.434390:0.237219:0.434390:0.237219:0.419743:0.221171:0.419743:0.000000 B:@0.241361:0.434723:0.250551:0.434723:0.250551:0.418254:0.241361:0.418254:0.000000 i:@0.250550:0.435436:0.252762:0.435436:0.252762:0.425835:0.250550:0.425835:0.000000 p A:@0.208414:0.451061:0.234904:0.451061:0.234904:0.434592:0.208414:0.434592:0.000000:0.000000:0.000000 ( ):@0.217681:0.450945:0.240857:0.450945:0.240857:0.434448:0.217681:0.434448:0.000000:0.000000:0.000000 p B p A B:@0.329660:0.477023:0.415348:0.477023:0.415348:0.460554:0.329660:0.460554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.338926:0.476907:0.423512:0.476907:0.423512:0.460410:0.338926:0.460410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.354068:0.477738:0.356280:0.477738:0.356280:0.468137:0.354068:0.468137:0.000000 i:@0.415346:0.477738:0.417559:0.477738:0.417559:0.468137:0.415346:0.468137:0.000000 p B p A B:@0.191000:0.494374:0.279426:0.494374:0.279426:0.477905:0.191000:0.477905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ) + ( ) ( | ) + … + ( ) ( | ):@0.200267:0.494258:0.562175:0.494258:0.562175:0.477761:0.200267:0.477761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.215407:0.497536:0.220360:0.497536:0.220360:0.487918:0.215407:0.487918:0.000000 1:@0.279424:0.497536:0.284377:0.497536:0.284377:0.487918:0.279424:0.487918:0.000000 p B p A B:@0.309423:0.494374:0.397852:0.494374:0.397852:0.477905:0.309423:0.477905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.333831:0.497536:0.338784:0.497536:0.338784:0.487918:0.333831:0.487918:0.000000 2:@0.397850:0.497536:0.402803:0.497536:0.402803:0.487918:0.397850:0.487918:0.000000 p B p A B:@0.461985:0.494374:0.550841:0.494374:0.550841:0.477905:0.461985:0.477905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.486316:0.497604:0.491775:0.497604:0.491775:0.488002:0.486316:0.488002:0.000000 n:@0.550764:0.497604:0.556223:0.497604:0.556223:0.488002:0.550764:0.488002:0.000000 p B p A B:@0.201445:0.521890:0.287134:0.521890:0.287134:0.505421:0.201445:0.505421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.210712:0.521774:0.295298:0.521774:0.295298:0.505277:0.210712:0.505277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.225853:0.522605:0.228066:0.522605:0.228066:0.513004:0.225853:0.513004:0.000000 i:@0.287132:0.522605:0.289345:0.522605:0.289345:0.513004:0.287132:0.513004:0.000000 :@0.191150:0.539125:0.211860:0.539125:0.211860:0.522627:0.191150:0.522627:0.000000:0.000000:0.000000:0.000000:0.000000 p B p A B:@0.211860:0.544272:0.297488:0.544270:0.297488:0.527801:0.211860:0.527804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.221127:0.544157:0.305594:0.544154:0.305594:0.527657:0.221127:0.527659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.236208:0.547500:0.238421:0.547500:0.238421:0.537898:0.236208:0.537898:0.000000 i:@0.297430:0.547500:0.299642:0.547500:0.299642:0.537898:0.297430:0.537898:0.000000 ∑:@0.193808:0.549021:0.209186:0.549021:0.209186:0.523198:0.193808:0.523198:0.000000 n:@0.199244:0.529654:0.204702:0.529654:0.204702:0.520052:0.199244:0.520052:0.000000 i:@0.195245:0.554715:0.197458:0.554715:0.197458:0.545113:0.195245:0.545113:0.000000 =1:@0.197458:0.554647:0.208712:0.554647:0.208712:0.545029:0.197458:0.545029:0.000000:0.000000 I:@0.572950:0.718245:0.576608:0.718245:0.576608:0.703208:0.572950:0.703208:0.000000 F:@0.791506:0.700423:0.798401:0.700423:0.798401:0.685386:0.791506:0.685386:0.000000 F:@0.791506:0.775263:0.798401:0.775263:0.798401:0.760226:0.791506:0.760226:0.000000 F:@0.791506:0.736054:0.798401:0.736054:0.798401:0.721017:0.791506:0.721017:0.000000 F:@0.791506:0.810894:0.798401:0.810894:0.798401:0.795858:0.791506:0.795858:0.000000 M:@0.567796:0.793072:0.581745:0.793072:0.581745:0.778035:0.567796:0.778035:0.000000 75:@0.479893:0.709477:0.495408:0.709477:0.495408:0.694414:0.479893:0.694414:0.000000:0.000000 100:@0.476024:0.725820:0.499295:0.725820:0.499295:0.710757:0.476024:0.710757:0.000000:0.000000:0.000000 25:@0.479893:0.784320:0.495408:0.784320:0.495408:0.769257:0.479893:0.769257:0.000000:0.000000 100:@0.476024:0.800664:0.499295:0.800664:0.499295:0.785601:0.476024:0.785601:0.000000:0.000000:0.000000 20:@0.692979:0.691657:0.708493:0.691657:0.708493:0.676594:0.692979:0.676594:0.000000:0.000000 100:@0.689109:0.708001:0.712381:0.708001:0.712381:0.692938:0.689109:0.692938:0.000000:0.000000:0.000000 80:@0.692979:0.727296:0.708493:0.727296:0.708493:0.712233:0.692979:0.712233:0.000000:0.000000 100:@0.689109:0.743640:0.712381:0.743640:0.712381:0.728577:0.689109:0.728577:0.000000:0.000000:0.000000 40:@0.692979:0.766500:0.708493:0.766500:0.708493:0.751437:0.692979:0.751437:0.000000:0.000000 100:@0.689109:0.782844:0.712381:0.782844:0.712381:0.767781:0.689109:0.767781:0.000000:0.000000:0.000000 60:@0.692979:0.802141:0.708493:0.802141:0.708493:0.787078:0.692979:0.787078:0.000000:0.000000 100:@0.689109:0.818485:0.712381:0.818485:0.712381:0.803422:0.689109:0.803422:0.000000:0.000000:0.000000 p I F:@0.108231:0.873165:0.148303:0.873165:0.148303:0.856696:0.108231:0.856696:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) = ,:@0.117498:0.873049:0.383204:0.873049:0.383204:0.856551:0.117498:0.856551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p I F:@0.108231:0.925217:0.148303:0.925217:0.148303:0.908748:0.108231:0.908748:0.000000:0.000000:0.000000:0.000000:0.000000 ( | ) = = = 0,6.:@0.117498:0.925101:0.457703:0.925101:0.457703:0.908604:0.117498:0.908604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p I p F I:@0.238721:0.865522:0.308114:0.865522:0.308114:0.849053:0.238721:0.849053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.247987:0.865406:0.314067:0.865406:0.314067:0.848908:0.247987:0.848908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p I p F I:@0.178170:0.882872:0.247564:0.882872:0.247564:0.866404:0.178170:0.866404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ) + ( ) ( | ) :@0.187437:0.882757:0.378779:0.882757:0.378779:0.866259:0.187437:0.866259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p M p F M:@0.272608:0.882872:0.368684:0.882872:0.368684:0.866404:0.272608:0.866404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,15:@0.383478:0.918630:0.411721:0.918630:0.411721:0.902133:0.383478:0.902133:0.000000:0.000000:0.000000:0.000000 0,25:@0.383478:0.935981:0.411721:0.935981:0.411721:0.919483:0.383478:0.919483:0.000000:0.000000:0.000000:0.000000 75:@0.239493:0.903615:0.256678:0.903615:0.256678:0.887118:0.239493:0.887118:0.000000:0.000000 100 100:@0.235158:0.919954:0.302913:0.919954:0.302913:0.903456:0.235158:0.903456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 75:@0.190234:0.935962:0.207419:0.935962:0.207419:0.919464:0.190234:0.919464:0.000000:0.000000 100 100:@0.185900:0.952301:0.253654:0.952301:0.253654:0.935803:0.185900:0.935803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 25:@0.287398:0.935962:0.304583:0.935962:0.304583:0.919464:0.287398:0.919464:0.000000:0.000000 100 100:@0.283064:0.952301:0.350818:0.952301:0.350818:0.935803:0.283064:0.935803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 20:@0.281374:0.903615:0.298559:0.903615:0.298559:0.887118:0.281374:0.887118:0.000000:0.000000 20:@0.232115:0.935962:0.249300:0.935962:0.249300:0.919464:0.232115:0.919464:0.000000:0.000000 40:@0.329279:0.935962:0.346464:0.935962:0.346464:0.919464:0.329279:0.919464:0.000000:0.000000 ·:@0.267823:0.910688:0.270578:0.910688:0.270578:0.894190:0.267823:0.894190:0.000000 ·:@0.218562:0.943032:0.221317:0.943032:0.221317:0.926535:0.218562:0.926535:0.000000 ·:@0.315717:0.943032:0.318471:0.943032:0.318471:0.926535:0.315717:0.926535:0.000000 +:@0.263199:0.943032:0.274007:0.943032:0.274007:0.926535:0.263199:0.926535:0.000000 Competencia :@0.685849:0.097787:0.783472:0.097787:0.783472:0.082315:0.685849:0.082315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 comunicacional:@0.685849:0.110355:0.797808:0.110355:0.797808:0.094883:0.685849:0.094883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muchas veces los :@0.679277:0.134830:0.799697:0.134830:0.799697:0.119767:0.679277:0.119767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 esquemas ayudan a alcanzar :@0.639541:0.150672:0.826768:0.150672:0.826768:0.135609:0.639541:0.135609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una mejor comprensión.:@0.639541:0.166514:0.798363:0.166514:0.798363:0.151451:0.639541:0.151451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para el cálculo de la probabi-:@0.639541:0.198198:0.825726:0.198198:0.825726:0.183135:0.639541:0.183135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lidad mediante el teorema de :@0.639541:0.214040:0.833891:0.214040:0.833891:0.198977:0.639541:0.198977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Bayes, se sugiere realizar un :@0.639541:0.229882:0.818025:0.229882:0.818025:0.214819:0.639541:0.214819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diagrama del árbol como el que :@0.639541:0.245724:0.848755:0.245724:0.848755:0.230661:0.639541:0.230661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se presenta a continuación.:@0.639541:0.261566:0.816124:0.261566:0.816124:0.246503:0.639541:0.246503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Pr B Pr A B:@0.743006:0.293329:0.833857:0.293331:0.833857:0.278295:0.743006:0.278292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756515:0.293223:0.843815:0.293226:0.843815:0.278163:0.756515:0.278160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.770356:0.296218:0.774879:0.296218:0.774879:0.287436:0.770356:0.287436:0.000000 1:@0.833856:0.296218:0.838379:0.296218:0.838379:0.287436:0.833856:0.287436:0.000000 Pr B Pr A B:@0.743024:0.362667:0.833857:0.362670:0.833857:0.347634:0.743024:0.347630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756533:0.362561:0.843815:0.362565:0.843815:0.347502:0.756533:0.347498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.770356:0.365556:0.774879:0.365556:0.774879:0.356775:0.770356:0.356775:0.000000 2:@0.833856:0.365556:0.838379:0.365556:0.838379:0.356775:0.833856:0.356775:0.000000 Pr B Pr A B:@0.743024:0.429986:0.834464:0.429991:0.834464:0.414955:0.743024:0.414949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756533:0.429880:0.845024:0.429886:0.845024:0.414823:0.756533:0.414817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.770356:0.432877:0.775484:0.432877:0.775484:0.424096:0.770356:0.424096:0.000000 n:@0.834461:0.432877:0.839589:0.432877:0.839589:0.424096:0.834461:0.424096:0.000000 Pr B Pr A B:@0.743020:0.318279:0.838901:0.318279:0.838901:0.303242:0.743020:0.303242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756529:0.318173:0.848859:0.318173:0.848859:0.303110:0.756529:0.303110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.770356:0.321166:0.774879:0.321166:0.774879:0.312384:0.770356:0.312384:0.000000 C:@0.813030:0.312434:0.818373:0.312434:0.818373:0.303668:0.813030:0.303668:0.000000 1:@0.838901:0.321166:0.843423:0.321166:0.843423:0.312384:0.838901:0.312384:0.000000 Pr B Pr A B:@0.743020:0.387614:0.838901:0.387618:0.838901:0.372581:0.743020:0.372577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756529:0.387508:0.848859:0.387512:0.848859:0.372449:0.756529:0.372445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.770356:0.390505:0.774879:0.390505:0.774879:0.381723:0.770356:0.381723:0.000000 C:@0.813030:0.381774:0.818373:0.381774:0.818373:0.373008:0.813030:0.373008:0.000000 2:@0.838901:0.390505:0.843423:0.390505:0.843423:0.381723:0.838901:0.381723:0.000000 Pr B Pr A B:@0.743020:0.454933:0.839506:0.454939:0.839506:0.439902:0.743020:0.439896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( | ):@0.756529:0.454827:0.850069:0.454833:0.850069:0.439770:0.756529:0.439764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.770356:0.457826:0.775484:0.457826:0.775484:0.449044:0.770356:0.449044:0.000000 C:@0.813636:0.449095:0.818979:0.449095:0.818979:0.440329:0.813636:0.440329:0.000000 n:@0.839505:0.457826:0.844633:0.457826:0.844633:0.449044:0.839505:0.449044:0.000000 B:@0.677282:0.291119:0.685672:0.291119:0.685672:0.276083:0.677282:0.276083:0.000000 1:@0.685673:0.294001:0.690196:0.294001:0.690196:0.285219:0.685673:0.285219:0.000000 B:@0.677283:0.360266:0.685674:0.360266:0.685674:0.345230:0.677283:0.345230:0.000000 2:@0.685673:0.363153:0.690196:0.363153:0.690196:0.354371:0.685673:0.354371:0.000000 B:@0.677283:0.426903:0.685674:0.426903:0.685674:0.411867:0.677283:0.411867:0.000000 n:@0.685673:0.429789:0.690801:0.429789:0.690801:0.421008:0.685673:0.421008:0.000000 •:@0.722744:0.292913:0.729833:0.292913:0.729833:0.277217:0.722744:0.277217:0.000000 •:@0.722744:0.362064:0.729833:0.362064:0.729833:0.346367:0.722744:0.346367:0.000000 •:@0.722744:0.428706:0.729833:0.428706:0.729833:0.413009:0.722744:0.413009:0.000000 •:@0.722744:0.317376:0.729833:0.317376:0.729833:0.301679:0.722744:0.301679:0.000000 •:@0.722744:0.386526:0.729833:0.386526:0.729833:0.370830:0.722744:0.370830:0.000000 •:@0.722744:0.453168:0.729833:0.453168:0.729833:0.437472:0.722744:0.437472:0.000000 A:@0.721144:0.285309:0.731434:0.285309:0.731434:0.270273:0.721144:0.270273:0.000000 A:@0.721144:0.354460:0.731434:0.354460:0.731434:0.339423:0.721144:0.339423:0.000000 A:@0.721144:0.421102:0.731434:0.421102:0.731434:0.406065:0.721144:0.406065:0.000000 A:@0.719983:0.309772:0.730273:0.309772:0.730273:0.294735:0.719983:0.294735:0.000000 C:@0.729978:0.303920:0.735321:0.303920:0.735321:0.295153:0.729978:0.295153:0.000000 A:@0.719987:0.378916:0.730277:0.378916:0.730277:0.363879:0.719987:0.363879:0.000000 C:@0.729978:0.373071:0.735321:0.373071:0.735321:0.364305:0.729978:0.364305:0.000000 A:@0.719987:0.445553:0.730277:0.445553:0.730277:0.430516:0.719987:0.430516:0.000000 C:@0.729978:0.439708:0.735321:0.439708:0.735321:0.430942:0.729978:0.430942:0.000000 •:@0.638587:0.371794:0.645676:0.371794:0.645676:0.356097:0.638587:0.356097:0.000000 •:@0.678516:0.302908:0.685605:0.302908:0.685605:0.287211:0.678516:0.287211:0.000000 •:@0.678516:0.438700:0.685605:0.438700:0.685605:0.423003:0.678516:0.423003:0.000000 •:@0.678516:0.372058:0.685605:0.372058:0.685605:0.356361:0.678516:0.356361:0.000000 Matemática e Historia:@0.685042:0.561925:0.840710:0.561925:0.840710:0.546453:0.685042:0.546453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Thomas Bayes (1702-1761) fue :@0.638498:0.580909:0.840536:0.580909:0.840536:0.565846:0.638498:0.565846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un matemático inglés cuyo :@0.638498:0.596751:0.817635:0.596751:0.817635:0.581688:0.638498:0.581688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 aporte más fundamental fue el :@0.638498:0.612593:0.842119:0.612593:0.842119:0.597530:0.638498:0.597530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cálculo de la probabilidad con-:@0.638498:0.628435:0.839074:0.628435:0.839074:0.613372:0.638498:0.613372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dicional de un evento aleatorio.:@0.638498:0.644277:0.842294:0.644277:0.842294:0.629214:0.638498:0.629214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.684804:0.532874:0.831589:0.532874:0.831589:0.517401:0.684804:0.517401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000