SOLUTION: A pair of 6-sided dice is rolled 10 times. What is the probability that in exactly 3 of those rolls, the sum of the dice will be 5? a) 0.14% b)7.2% c)11.1% d)60%

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Question 1190196: A pair of 6-sided dice is rolled 10 times. What is the probability that in exactly 3 of those rolls, the sum of the dice will be 5?
a) 0.14% b)7.2% c)11.1% d)60%

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
probability roll a 5 is 4/36=1/9 (2/3;3/2;1/4;4/1)
binomial probability distribution: p(3 rolls) is 10C3*(1/9)^3*(8/9)^7=0.0722 or 7.2%.

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