Assume that A and B are events, with P.A/ D 0:6; P .B j A/ D 0:2 and P .B j Ac/ D 0:1: Find the following probabilities:
(a) P .B/ (5)
(b) P .A \ B/ (3)
(c) P .A [ B/ (3)
(d) P .Bc j A/ (2)
(e) P .A j Bc/
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