We roll two dice. Find the conditional probability that at least one of the numbers is even, given that the sum is 8.

0.599 or 0.6

Step-by-step explanation:

We will be using the alphabets M and N in this solution.

Let M be that one of the number is even

Let N be that the sum is 8

The sample space of these two dice when rolled is 36

Probability of 8 and even numbers is (4,4),(6,2),(2,6)

= 3/36 = 0.08333

Probability of sum of 8 is (4,4),(5,3)(3,5),(6,2),(2,6)

= 5/36 = 0.1389

P(M|N) = 0.08333/0.1389

= 0.599

Approximately 0.6