In order to join a club, Mr. A must choose one of two identical boxes and draw one ball from it; he is admitted if the drawn ball is green. You are given 2 identical boxes, 50 red balls and 50 green balls, and asked to allocate all these balls to the two boxes to maximize Mr. A's probability of admission, given that he chooses a box at random. If you allocate the balls correctly, the probability that Mr. A gets admitted equals
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In order to join a club, Mr. A must choose one of two identical boxes and draw one ball from it; he is admitted if the drawn ball is green. You are given 2 identical boxes, 50 red balls and 50 green balls, and asked to allocate all these balls to the two boxes to maximize Mr. A's probability of admission, given that he chooses a box at random. If you allocate the balls correctly, the probability that Mr. A gets admitted equals (A) 1 (B) 0.747 (C) 0.547 (D) 0.257
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Total probability and Bayes' theorem, part of Probability and Bayes' theorem in Statistics.
Reversing a conditional probability and updating beliefs from evidence.
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Question from the DSE 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.