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Prove or disprove that for any events A and B, P(A) + P(B) − 1 ≤...

Prove or disprove that for any events A and B,
P(A) + P(B) − 1 ≤ P(A ∩ B) ≤ min{P(A), P(B)}.

Math   Statistics-And-Probability   
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