Subject

    Quantitative Aptitude

    Topic

    Probability

    In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

    ক)
    6/7
    খ)
    19/21
    গ)
    7/31
    ঘ)
    5/21

    Explanation

    Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅ = (10 x 6)/252 = 5/21

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