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ale4655 [162]
2 years ago
9

La probabilidad de que un caballo viva 20 años es 2/3 y la de que una vaca viva 20 años es 3/5, ¿cuál es la probabilidad de que

tanto el caballo, como la vaca vivan 20 años?.
SAT
1 answer:
den301095 [7]2 years ago
7 0

Por definición de probabilidad, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es \frac{2}{5}.

En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.

En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.

En este caso, se llama suceso A al evento de que un caballo viva 20 años, mientras que el suceso B será el evento de que una vaca viva 20 años.

La intersección de sucesos es una operación cuyo resultado está compuesto por los sucesos no repetidos y comunes de dos o más conjuntos.

Esto es, la intersección de sucesos {A∩B} es el suceso formado por todos los elementos que son, a la vez, de {A} y {B}.  De esta manera, el suceso {A∩B} se verifica cuando ocurren simultáneamente {A} y {B}.

Entonces, se debe calcular la probabilidad de que ocurra A y B al mismo tiempo, considerando que la probabilidad de la intersección de sucesos independientes (la probabilidad de cada uno de ellos no está influida porque el otro suceso ocurra o no, es decir, cuando ambos sucesos no están relacionados):

P(A∩B)= P(A)×P(B)

En este caso, la probabilidad de que ocurra A es \frac{2}{3} y la probabilidad de que ocurra B es \frac{3}{5}. Entonces:

P(A∩B)= \frac{2}{3}×\frac{3}{5}

P(A∩B)=\frac{2}{5}

Finalmente, la probabilidad de que tanto el caballo, como la vaca vivan 20 años es \frac{2}{5}.

Aprende más:

  • brainly.com/question/24290732?referrer=searchResults
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