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April 14th, 2018, 09:07 AM  #1 
Newbie Joined: Apr 2018 From: Israel Posts: 2 Thanks: 0  A question about Bayes' theorem
I would like to know how to solve the following question: A student answers a question in American test that has m options that are given as follows: In probability P the student has learned the question and therefore knows how to choose the correct answer, otherwise he guesses the question. a) What is the probability that the student studied the subject of the question given that he answered correct on the question? b) Analyze the result for m=1 and m>inf 
April 14th, 2018, 09:28 AM  #2 
Senior Member Joined: May 2016 From: USA Posts: 989 Thanks: 406 
I guess that we are to assume that the number of options is greater than zero, that only one option is correct, and that the student will choose the correct option if she knows it. $m = \text { number of options.}$ $p = \text { probability student knows the correct option.}$ $\therefore \text { probability student does not know the correct option } = q = WHAT?$ $r = \text { probability student chooses correct option given student knows it } = WHAT?$ $s = \text { probability student choose correct option given student doesn't know it } = WHAT?$ Let's start there. 

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