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Question

What is the probability that the total of two dice will be greater than 9, given that the first die is a 5 ?

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Solution

Let A = first die is 5

Let B = total of two dice is greater than 9

P(A)=16

Possible outcomes for A and B : {(5,5), (5,6)}

P(A and B)=236=118

P(B|A)=P(AB)P(A)

=118×6=13

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