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

2.7

(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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