SOLUTION: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find (a) P(A ∪ B), (b) P(A | B), and (c) P(B | A). (d) Sketch a Venn diagram.

Algebra ->  Probability-and-statistics -> SOLUTION: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find (a) P(A ∪ B), (b) P(A | B), and (c) P(B | A). (d) Sketch a Venn diagram.      Log On


   

Question 451783: Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find
(a) P(A ∪ B),
(b) P(A | B), and
(c) P(B | A).
(d) Sketch a Venn diagram.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given P(A) = .40, P(B) = .50, and P(A ∩ B) = .05, find
(a) P(A ∪ B) = P(A) + P(B) - P(A and B) = 0.4+0.5-0.05 = 0.85
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(b) P(A | B) = P(A and B)/P(B) = 0.05/0.50 = 0.10
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(c) P(B | A) = P(B and A)/P(A) = 0.05/0.40 = 0.125
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Cheers,
Stan H.