SOLUTION: Given P(A or B) = 1.0, P(A and B) = 0.9, and P(B) = 0.8, find the following. (If not possible, enter IMPOSSIBLE.) (a) P(B) = (b) P(A) = (c) P(A|B) =

Algebra ->  Probability-and-statistics -> SOLUTION: Given P(A or B) = 1.0, P(A and B) = 0.9, and P(B) = 0.8, find the following. (If not possible, enter IMPOSSIBLE.) (a) P(B) = (b) P(A) = (c) P(A|B) =       Log On


   

Question 745318: Given P(A or B) = 1.0, P(A and B) = 0.9, and P(B) = 0.8, find the following. (If not possible, enter IMPOSSIBLE.)
(a) P(B) =
(b) P(A) =
(c) P(A|B) =
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given P(A or B) = 1.0, P(A and B) = 0.9, and P(B) = 0.8, find the following. (If not possible, enter IMPOSSIBLE.)
Note: P(A or B) = P(A) + P(B) - P(A and B)
(a) P(B) = 0.8
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(b) P(A) = P(A or B) + P(A and B) - P(B) = 1 + 0.9 - 0.8 = 1.1 IMPOSSIBLE
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(c) P(A|B) = P(A and B)/P(B) = 1/0.8 = 10/8 IMPOSSIBLE
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Cheers,
Stan H.