Subject

    Quantitative Aptitude

    Topic

    Probability

    A problem is given to three persons and their chances of solving it are 1/3, 1/4, 1/5 respectively. This probability that none will solve it is

    ক)
    \(\frac{1}{3} \times \frac{1}{4} \times \frac{1}{5}\)
    খ)
    \(\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}\)
    গ)
    \(1 - \frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}\)
    ঘ)
    \(\frac{1}{3} + \frac{1}{4} + \frac{1}{5}\)
    ঙ)
    None of these

    Explanation

    Probability of Solving the problem by first person = 1/3 Probability of Solving the problem by second person = 1/4 Probability of Solving the problem by third person = 1/5 Probability of Not Solving the problem by first person = 1- (1/3) = 2/3 Probability of not Solving the problem by second person = 1- (1/4) = 3/4 Probability of not Solving the problem by third person = 1- (1/5) = 4/5 So, The probability of none solving the problem = 23×34×45\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}

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