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Class 12 Tuition > Learn Exercise 13.1 > An instructor has a question bank consisting of 300...
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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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The given data can be tabulated as True/False Multiple choice Total Easy 300 500 800 Difficult 200 400 600 Total 500 900 1400 Let us denote E = easy questions, M = multiple choice questions, D = difficult questions, and T = True/False questions Total number...
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The given data can be tabulated as True/False Multiple choice Total Easy 300 500 800 Difficult 200 400 600 Total 500 900 1400 Let us denote E = easy questions, M = multiple choice questions, D = difficult questions, and T = True/False questions Total number of questions = 1400 Total number of multiple choice questions = 900 Therefore, probability of selecting an easy multiple choice question is P (E ∩ M) = Probability of selecting a multiple choice question, P (M), is P (E|M) represents the probability that a randomly selected question will be an easy question, given that it is a multiple choice question. ∴ Therefore, the required probability is. read less
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