(a) True or false: P(A|B) + P(A|B c ) = 1. Either show it true for any...

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(a) True or false: P(A|B) + P(A|Bc) = 1. Either show it true for any event A and B or exhibit a counter-example.

(b) True or false: P(A|B) + P(Ac|B) = 1. Either show it true for any event A and B or exhibit a counter-example.

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