Question: Let S be a sample space and E and F be events associated with S. Suppose that Pr(E) = 0.5, Pr(F) = 0.3, and Pr(E

Let S be a sample space and E and F be events associated with S. Suppose that Pr(E) = 0.5, Pr(F) = 0.3, and Pr(E F) = 0.1. Calculate

(a) Pr (E|F)

(b) Pr (F|E)

(c) Pr (E|F')

(d) Pr (E'|F')

2. Let S be a sample space and E and F be events associated with S. Suppose that Pr(E) = 1 3 , Pr(F) = 5 12 , and Pr(E U F) = 2 3 . Calculate

(a) Pr(E F)

(b) Pr (E|F)

(c) Pr (F|E)

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