A pair of dice is rolled until a sum of either 5 or
Chapter 2, Problem 25(choose chapter or problem)
A pair of dice is rolled until a sum of either 5 or 7appears. Find the probability that a 5 occurs first.Hint: Let En denote the event that a 5 occurs onthe nth roll and no 5 or 7 occurs on the first n 1rolls. Compute P(En) and argue thatqn=1P(En) isthe desired probability.
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