Question

When rolling two fair, standard dice, what is the probability that the sum of the numbers rolled is a multiple of 3 or 4? Express your answer as a common fraction.

Answer 1

There are 6 × 6 = 36 possible outcomes when rolling two fair dice. Of those, 20 are multiples of 3 or 4, as shown. Thus, the
probability that the sum of the numbers rolled is a multiple of 3 or 4 is 20/36 = 5/9.

Answer 2

There are 6 times 6 = 36 possible outcomes when rolling two fair dice. Of those, 20 are multiplied of 3 or 4 as shown. Thus, the probability that the sum of the numbers rolled is a multiply of 3 or 4 is 20/36 = 5/9.