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Question: Let A₁, .. .A₂₀ be independent event each with probability 1/2. Let X be the number of events among the first 10 which occur and let Y be the number of events among the last 10 which occur. Find the conditional probability that X = 5, given that X + Y = 12. The response must be typed, single spaced, must be in times new roman font (size 12) and must follow the APA format.

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