Subject

    Quantitative Aptitude

    Topic

    Probability

    Three dice are thrown together.Find the probability of getting a total of atleast 6

    ক)
    103/216
    খ)
    103/108
    গ)
    103/36
    ঘ)
    36/103

    Explanation

    Total number of events=6 x 6 x 6=216 Let A be the event of getting a total of atleast 6 and B denoted event of getting a total of less than 6 i.e.,3,4,5. So,B={(1,1,1),(1,1,2),(1,2,1),(2,1,1),(1,1,3),(1,3,1),(3,1,1),(1,2,2),(2,1,2),(2,2,1)} Favourable number of cases=10 Therefore,P(B)=10/216 => P(A) = 1 - P(B) = 1 - (10/216) = 103/108

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