Question: If P (B) > 0, (a) Show that P(A | B) + P(Ac | B) = 1. (b) Show that in general the following two

If P (B) > 0,
(a) Show that P(A | B) + P(Ac | B) = 1.
(b) Show that in general the following two statements are false:
(i) P(A | B) + P (A | Bc) = 1,
(ii) P(A | B) + P(Ac | Bc) = 1.

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