Find the indicated probability.
-When a pair of dice are rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair of dice are rolled 3 times, what is the probability of getting a sum of 7 every time? Round to eight decimal places.
A) 0.00462963
B) 0.00735168
C) 0.00291545
D) 0.0476

Question

Quizplus · Accepted Answer

There are 6 ways to get a sum of 7 on a pair of dice: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). So the probability of getting a sum of 7 on one roll is 6/36 = 1/6. The probability of getting a sum of 7 on three rolls is (1/6)^3 = 0.00462963.

Find the Indicated Probability