In an experiment, A and B are mutually exclusive events with probabilities P[A B] = 5/8

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In an experiment, A and B are mutually exclusive events with probabilities P[A ∪ B] = 5/8 and P[A] = 3/8.
(a) Find P[B], P[A ∩ Bc], and P[A ∪ Bc].
(b) Are A and B independent?
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