Find P[B] in each case: (a) Events A and B are a partition and P[A] = 3P[B].

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Find P[B] in each case:
(a) Events A and B are a partition and P[A] = 3P[B].
(b) For events A and B, P[A ∪ B] = P[A] and P[A ∪ B] = 0.
(c) For events A and B, P[A ∪ B] = P[A] - P[B].
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