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Let pb gt 0 so that pab is defineda if a sub b what is

Let P(B) > 0 so that P(A|B) is defined.

(a) If A ⊂ B, what is P(A|B)?

(b) Show that if P(A) = 0, then P(A|B) = 0

(c) Show that if P(A) = 1, then P(A|B) = 1

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