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    Subject

    Quantitative Aptitude

    Topic

    Probability

    The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

    ক)
    3/70
    খ)
    4/70
    গ)
    9/70
    ঘ)
    1/50

    Explanation

    Let A be the event of driver A drive safely after consuming liquor. Let B be the event of driver B drive safely after consuming liquor. Let C be the event of driver C drive safely after consuming liquor. P(A)=2/5,P(B)=3/7,P(C)=3/4 The events A, B and C are independent . Therefore, P(A∩B∩C)=P(A)P(B)P(C)=25×37×34=970P\left(A\cap B\cap C\right)=P(A)P(B)P(C)=\frac25\times\frac37\times\frac34=\frac9{70} Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70

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