SOLUTION: given: P(A) = 2/3, P(B)=1/2, P(B/A) = 1/3 find: P(A/B)

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Question 187194This question is from textbook A problem sovling approach to mathematics for elementary school teachers
: given: P(A) = 2/3, P(B)=1/2, P(B/A) = 1/3
find: P(A/B) This question is from textbook A problem sovling approach to mathematics for elementary school teachers

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
given: P(A) = 2/3, P(B)=1/2, P(B|A) = 1/3
find: P(A|B)
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Find
P(A|B) = P(A and B)/P(B)
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We know P(B|A) = P(B and A)/P(A) = 1/3
P(B and A)/(2/3) = 1/3
P(B and A) = 2/9
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So, P(A|B) = (2/9)/(1/2) = 4/9
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Cheers,
Stan H.