Use the special multiplication rule to find the indicated probability.
-When a pair of dice is rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair of dice is rolled 3 times, what is the probability of getting a sum of 5 every time?
A)0.008
B)0.0667
C)0.00267918
D)0.00137174

Question

Use the special multiplication rule to find the indicated probability.
-When a pair of dice is rolled there are 36 different possible outcomes: 1-1, 1-2, ... 6-6. If a pair of dice is rolled 3 times, what is the probability of getting a sum of 5 every time? 
A)0.008
B)0.0667
C)0.00267918
D)0.00137174

Quizplus · Accepted Answer

The probability of getting a sum of 5 on one roll is 4/36 (or 1/9), since there are 4 outcomes that result in a sum of 5: (1,4), (2,3), (3,2), and (4,1). Using the special multiplication rule for independent events, the probability of this happening 3 times in a row is (1/9) * (1/9) * (1/9) = 1/729, which equals approximately 0.00137174.

Use the Special Multiplication Rule to Find the Indicated Probability