SOLUTION: 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 i

SOLUTION: 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 i

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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.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
P(A|Y) = P(AY)/P(Y) = (P(Y|A)*P(A))/(P(Y|A)*P(A)) + P(Y|B)*P(B)) =
. This is by direct use of Bayes' Theorem.
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