16. A and B are events whose probabilities are given by p(A) = 0.42, p(B) = 0.38, p(AU B) = 0.61, (a) Find p(A'U B'). (b) Find p(B'|A'). (c) Find p(AN B').

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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16. A and B are events whose probabilities are given by p(A) = 0.42, p(B) = 0.38, p(AU B) = 0.61,
(a) Find p(A'U B').
(b) Find p(B'|A').
(c) Find p(AN B').
17. Consider three mutually exclusive events E1, E2, and E3, with P (E1) = 0.25, P(E2) = (0.4, and P (Es) = (0.35. Also,
P (S|E1) = 0.4, P(S|E2) = 0.3, and P(S\E3) = 0.6.
(a) Find P(E2|S)
(b) Find P(E2 |S)
Transcribed Image Text:16. A and B are events whose probabilities are given by p(A) = 0.42, p(B) = 0.38, p(AU B) = 0.61, (a) Find p(A'U B'). (b) Find p(B'|A'). (c) Find p(AN B'). 17. Consider three mutually exclusive events E1, E2, and E3, with P (E1) = 0.25, P(E2) = (0.4, and P (Es) = (0.35. Also, P (S|E1) = 0.4, P(S|E2) = 0.3, and P(S\E3) = 0.6. (a) Find P(E2|S) (b) Find P(E2 |S)
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