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GATE 2025 · session-5
Probability and StatisticsBayes TheoremmediumNAT1 mark
There are three boxes containing white balls and black balls. Box-1 contains 2 black and 1 white ball. Box-2 contains 1 black and 2 white balls. Box-3 contains 3 black and 3 white balls. In a random experiment, one of these boxes is selected, where the probability of choosing Box-1 is \( \frac{1}{2} \), Box-2 is \( \frac{1}{3} \), and Box-3 is \( \frac{1}{6} \). A ball is drawn at random from the selected box. Given that the ball drawn is white, the probability that it is drawn from Box-2 is:
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