A pair of fair six-sided dice are rolled . 1. Find the probability that the sum is 7.    2. Find the probability that the sum is 8 or 2 . 3. Find the probability that the sum is 6 or that a double is rolled.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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pair of fair six-sided dice are rolled .

1. Find the probability that the sum is 7.   

2. Find the probability that the sum is 8 or 2 .

3. Find the probability that the sum is 6 or that a double is rolled.

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Ans#-  A pair of fair six-sided dice are rolled.

              Then sample space S =  {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

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

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

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

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

                                                     (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}  

1. Find the probability that the sum is 7.   

2. Find the probability that the sum is 8 or 2.

3. Find the probability that the sum is 6 or that a double is rolled.

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