Question

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 5 every time? Round to eight decimal places.

		0.008
		0.00137174
		0.0667
		0.00267918

Answer 1

Pair of dice are rolled.

So there are 36 different outcomes.

as (1,1) , (1,2) , (1,3), (1,4), (1,5), (1,6) ........ (6,6)

so Let event A be the getting sum = 5, so possible outcomes that gives sum = 5 are  

(1,4), (2,3) (3,2), (4,1)

So there are 4 possible outcomes that gives sum = 5

probability of getting sum = 5 is 4/36 = 0.1111

If dice is rolled 3 times probability of getting sum = 5 every time is = 0.111111^3 = 0.111111*0.111111*0.111111 = 0.00137174

So Answer is 0.00137174