Question

Calculate the probability of the sum of the values on two fair dice being 8 is an even number.

Answer 1

Answer:$\frac{3}{36}=\frac{1}{12}$

Step-by-step explanation:

Given

Sum of the number is 8 which can be brought in 5 ways

i.e.

(4,4),(6,2),(2,6),(5,3),(3,5)

Probability of each this pair is $\frac{1}{36}$

also it is given that it should be even number then only

(4,4),(6,2),(2,6) is our choice

Therefore the probability that the  value on two fair dice being 8 is an even number

then it is $\frac{3}{36}=\frac{1}{12}$