document.write( "Question 384295: Box A contains 6 red and 7 yellow balls while box B contains 5 red and 3 yellow balls. A box is chosen at random and a ball is selected from it. The probability of choosing box A is 58%. Find the the probability that the ball came from box A if the ball was yellow. \n" ); document.write( "

Algebra.Com's Answer #272063 by robertb(5830) $\"\"$ $\"About$

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P(A|Y) = P(AY)/P(Y) = (P(Y|A)*P(A))/(P(Y|A)*P(A)) + P(Y|B)*P(B)) =
\n" ); document.write( " $\"%287%2F13%29%2A0.58%2F%28%287%2F13%29%2A0.58+%2B+%283%2F8%29%2A0.42%29+=+0.6648\"$ . This is by direct use of Bayes' Theorem. \n" ); document.write( "

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