Mathematics, 12.03.2020 05:07 gselm

Suppose that A and B are events with probabilities p(A) = 2∕3 and p(B) = 1∕2. a) What is the largest p(A ∩ B) can be? What is the smallest it can be? Give examples to show that both extremes for p(A ∩ B) are possible. b) What is the largest p(A ∪ B) can be? What is the smallest it can be? Give examples to show that both extremes for p(A ∪ B) are possible.

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Suppose that A and B are events with probabilities p(A) = 2∕3 and p(B) = 1∕2. a) What is the largest...