Question

a pair of fair dice are rolled together once and the numbers that come up on the two dice are added. what is the probability that the sum of the numbers on the two dice is 10?

Answer 1

• The probability is 1/12

Explanation:

The are 6 possibilities for each dice, so the number of outcomes is:

• 6*6 = 36

Outcomes with the sum of 10:

• 4+6, 5+5, 6+4 - three favorable outcomes

Probability of getting 10 is 3 out of 36:

• P(10) = 3/36 = 1/12