Find P(A'/B'), given P(A) = 3/4, P(B) = 9/20 and P(A∩B) = 1/4?
1/11
P(A) = 3/4, P(B) = 9/20, P(A∩B) = 1/4 P(A') = 1 - P(A) = 1 - 3/4 = 1/4 P(B') = 1 - P(B) = 1 - 9/20 = 11/20 P(A'∩B') = P(A∪B)' = 1 - P(A∪B) P(A∪B) = P(A) + P(B) - P(A∩B) = 3/4 + 9/20 - 1/4 = 1/2 + 9/20 = 19/20 P(A'∩B') = 1 - 19/20 = 1/20 P(A'|B') = P(A'∩B')/P(B') = (1/20)/(11/20) = 1/11
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