SOLUTION: Find the probability, if we roll a pair of fair dice four times, that we get a sum of five on all four rolls. Write your answer as a decimal, rounded to three significant figur

Question 1185516: Find the probability, if we roll a pair of fair dice four times, that we get a sum of five on all four rolls.
Write your answer as a decimal, rounded to three significant figures.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Find the probability, if we roll a pair of fair dice four times, that we get a sum of five on all four rolls.
Write your answer as a decimal, rounded to three significant figures.
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First, consider rolling one pair of fair dice.


There are 36 possible outcomes, in all;

of them, the favorable outcomes with the sum of 4 are  these four outcomes (1,4), (2,3), (3,2) and (4,1).


So, the probability to get the sum of 5, rolling a pair of dice is   = .


Now, if we roll a pair of fair dice four times, the probability to get a sum of five on all four rolls is


    P =  =  = 0.000152  (rounded as requested).      ANSWER

Solved.

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