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1. Suppose that you flip a fair coin three times in a row. Define events: . A: first flip is Heads . B: second flip

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1. Suppose that you flip a fair coin three times in a row. Define events: . A: first flip is Heads . B: second flip is Tails . C: the total results are two Heads and one Tails, in any order (a) Use the definition formula to verify that A and B are independent. (b) Use the definition formula to determine whether A and C are independent. (c) Use the definition formula to determine whether A and B are conditionally independent given C

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