Question

    Three persons. A, B and C. are given the same puzzle to

    solve. The probability that A, B and C will solve the puzzle is. 3/5., 2/3., and 1/4respectively. Find the probability that exactly one of them will not solve the puzzle
    A 1/15 Correct Answer Incorrect Answer
    B 5/12 Correct Answer Incorrect Answer
    C 7/12 Correct Answer Incorrect Answer
    D 4/10 Correct Answer Incorrect Answer
    E 1/12 Correct Answer Incorrect Answer

    Solution

    Probability of A solving the puzzle =  3/5 Therefore the probability of A not solving the puzzle = 1- (3/5) = 2/5 Probability of B solving the puzzle = 2/3 Therefore. Probability of B not solving the puzzle = 1/3 Probability of C solving the puzzle = ¼ Probability of C not solving a puzzle= ¾ Therefore, required probability = { (3/5)*(2/3)*(¾)} + {(3/5)*(1/3)*(¼)}+{(2/5)*(2/3)*(¼)} 5/12

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