Question

Suppose a dice is thrown thrice. What is the probability of getting the sum to be even given the number on the first dice is odd?

Answer 1

When a die is thrown once, the probability of getting an odd number is the same as the probability of getting an even number.

So, when a die is thrown thrice, the probability that the sum of the numbers would be even is the same as the probability that the sum of the numbers would be odd, no matter what the outcome of the first throw.

Hence, the probability asked for is 12.