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# An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question ?

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Solution

## The given data can be tabulated asLet us denote E= easy questions, M= multiple choice questions, D= difficult questions, and T= True / False questions.Total number of questions =1400Total number of multiple choice questions =900Therefore, probability of selecting an easy multiple choice questions is P(E∩M)=5001400=514Probability of selecting a multiple choice questions, P(M) is 9001400=914P(E|M) represents the probability that a randomly selected question will be an easy question, given that it is a multiple choice question.P(E|M)=P(E∩M)P(M)=514914=59Therefore, the required probability is 59   Suggest Corrections  1      Similar questions  Related Videos   Bayes Theorem
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