14. There are only one of m options for a multiple choice question is right. Suppose that the probability of the candidate's correct judgment is p, in case of incorrect judgment, he will guess randomly, and the probability of correct guess is 1/m. It is known that the candidate has chosen correctly. Try to find the probability that he is capable of choosing correctly rather than guessing. (Suppose B = "the candidate chooses correctly", A = "the candidate is capable of judging correctly)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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14. There are only one of m options for a multiple choice question is right. Suppose that the
probability of the candidate's correct judgment is p, in case of incorrect judgment, he will guess
randomly, and the probability of correct guess is 1/m. It is known that the candidate has chosen
correctly. Try to find the probability that he is capable of choosing correctly rather than guessing.
(Suppose B = "the candidate chooses correctly", A = "the candidate is capable of judging
correctly)
Transcribed Image Text:14. There are only one of m options for a multiple choice question is right. Suppose that the probability of the candidate's correct judgment is p, in case of incorrect judgment, he will guess randomly, and the probability of correct guess is 1/m. It is known that the candidate has chosen correctly. Try to find the probability that he is capable of choosing correctly rather than guessing. (Suppose B = "the candidate chooses correctly", A = "the candidate is capable of judging correctly)
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