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Assume that A and B are events, with P(A)=0.6; P (B|A)=0.2 and P(B|A^c)=0.1 , Find the following probabilities: (a) P(B) (b) (c) P(A U B)

Assume that A and B are events, with P(A)=0.6; P (B|A)=0.2 and P(B|A^c)=0.1 , Find the following probabilities:

(a) P(B)

(b)

(c) P(A U B)

(d) P(B^c | A)

(e) P(A | B^c)

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