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Suppose we flip three fair coins. (a) What is the probability that all three coins are heads? (b)…

 Suppose we flip three fair coins. (a) What is the probability that all three coins are heads? (b) What is the conditional probability that all three coins are heads, conditional on knowing that the number of heads is odd? (c) What is the conditional probability that all three coins are heads, given that the number of heads is even?