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Airida [17]
2 years ago
6

Si se lanzan 2 dados ¿ cuantas posibilidades hay de que las caras hacia arriba sumen un numero menor que 7?

Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer:

P = 15/36 = 0.4166...

Step-by-step explanation:

Cada dado tiene 6 caras, con los números entre 1 y 6.

Entonces tenemos dos eventos, con 6 posibles resultados cada uno.

El número total de resultados para el evento de lanzar los dos dados, es el producto de los números de resultados para cada dado, entonces tenemos:

C = 6*6 = 36 posibles resultados.

Ahora tenemos que contar el número de resultados en donde la suma es menor a 7.

Usando la notación:

(resultado del dado 1) y (resultado del dado 2) = suma

Esos son:

1 y 1  = 2

1 y 2 = 3

1 y 3 = 4

1 y 4 = 5

1 y 5 = 6

2 y 1 = 3

2 y 2 = 4  

2 y 3 = 5

2 y 4 = 6

3 y 1 = 4

3 y 2 = 5

3 y 3 = 6

4 y 1 = 5

4 y 2 = 6

5 y 1 = 6

Hay 15 resultados donde la suma de los resultados individuales es menor a 7.

Entonces de un total de 36 posibles resultados, 15 cumplen lo que queremos, asi que la probabilidad de que las caras hacía arriba sumen un número menor que 7 son de 15 entre 36, o:

P = 15/36 = 0.4166...

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