In three independent flips of a balanced coin, let A denote {first flip is a head}, B

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In three independent flips of a balanced coin, let A denote {first flip is a head}, B denote {second flip is a head}, C denote {first two flips are heads}, and D denote {three heads on the three flips}.
a. Find the probabilities of A, B, C, and D.
b. Which, if any, pairs of these events are independent? Explain.
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