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    Question

    Chethan is called for 3 interviews based on his score in

    a written exam. There are 8 candidates in the first interview, 10 in the second, and 5 in the third. If the selection of each candidate is equally likely, then find the probability that Chethan will be selected for at least one post.  
    A 0.37 Correct Answer Incorrect Answer
    B 0.63 Correct Answer Incorrect Answer
    C 0.25 Correct Answer Incorrect Answer
    D 0.42 Correct Answer Incorrect Answer

    Solution

    1. Calculate the probability of NOT being selected in each interview:     - First interview: 7/8 (since there are 7 other candidates out of 8)     - Second interview: 9/10     - Third interview: 4/5  2. Probability of not being selected in ANY interview:  7/8 * 9/10 * 4/5 = 252/400 = 0.63 3. Probability of being selected in AT LEAST ONE interview:     1 - {Probability of not being selected in any interview} = 1 - 0.63 = 0.37

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