Question

A pair of dice is tossed. Find the probability that the sum on the 2 dice is 8, given that doubles are rolled. (Enter your probability as a fraction.)

Answer 1

a pair of dice is rolled

total number of different outcomes = 6*6 = 36

Sample Space
(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)

Favourable Outocomes (i.e. rolled a sum of 8) = 5

P(of getting a sum of 8 given the double can be rolled) = 5/36

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