SOLVED: A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first. Hint: Let En denote the event that a 5 occurs on the n th roll and no 5 or 7 occurs on the first n-1 rolls. Compute P(En) and argue that ∑n=1^∞ P(En) is the desired probability.
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SOLVED: A pair of dice is rolled until a sum of either 5 or 7 appears. Find the probability that a 5 occurs first. Hint: Let En denote the event that a 5 occurs on the n th roll and no 5 or 7
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