Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is neither divisible by 3 nor by 4.

Question

Philoid · Accepted Answer

Given: Two dice are thrown together.

Sample Space:

To Find: P(sum of faces neither divisible by 3 nor by 4)

Sum = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Sum neither divisible by 3 nor 4 = {2, 5, 7, 10, 11}

P(sum of faces neither divisible by 3 nor by 4)

Hence, probability is .