SOLUTION: P(A) = 0.31 P(B given A) = 0.8 P(A and B) = ?

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Question 1194157: P(A) = 0.31
P(B given A) = 0.8
P(A and B) = ?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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You have  P(B given A) = 0.8.


By the definition of the conditional probability, it means that  P(A and B) / P(A) = 0.8,  or  P%28A_and_B%29%2FP%28A%29 = 0.8,  or

    P%28A_and_B%29%2F0.31 = 0.8.


It implies that


    P(A and B) = 0.8*0.31 = 0.248.    ANSWER

Solved, answered and explained.