A bag L contains 2 white and 3 red balls and a bag M contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be…
A bag L contains 2 white and 3 red balls and a bag M contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. What is the probability that it was drawn from the bag M?
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Correct answer: (B) 25/52
Explanation
By Bayes' theorem, P(M | red) = (½ × 5/9) / (½ × 3/5 + ½ × 5/9) = (5/9) / (52/45) = 25/52.