Suppose you flip a coin twice. On any flip, the coin comes up heads with probability 1/4.

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Suppose you flip a coin twice. On any flip, the coin comes up heads with probability 1/4. Use Hi and Ti to denote the result of flip i.
(a) What is the probability, P[H1|H2], that the first flip is heads given that the second flip is heads?
(b) What is the probability that the first flip is heads and the second flip is tails?
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