Question: Let A and B be events in a sample space for which it is known that P(A) a and P(B) b, where

Let A and B be events in a sample space Ω for which it is known that P(A) ≥ a and P(B) ≥

b, where a and b are given real numbers.

(i) Show that P(AB) ≥ a + b − 1.

(ii) If a + b > 1, what do you conclude about the events A and B?

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