Subject

    Quantitative Aptitude

    Topic

    Probability

    Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ?

    ক)
    [1, 32]
    খ)
    (0, 1)
    গ)
    [1, 1/2]
    ঘ)
    (1, 1/2]

    Explanation

    Probability of atleast one failure = 1 - no failure > 31/32 = 1 -P5P^5 > 31/32 = P5P^5 < 1/32 = p < 1/2 Also p > 0 Hence p lies in [0,1/2].

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