Question: Let A and B be events such that P(A) = 0.3, P(B) = 0.5, and P(AB) = 0.2. (a) Find E[I A |I B =

Let A and B be events such that P(A) = 0.3, P(B) = 0.5, and P(AB) = 0.2.
(a) Find E[I_A|I_B = 0] and E[I_A|I_B = 1].
(b) Show that E[E[I_A|I_B]] = E[I_A].

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