Subject

    Quantitative Aptitude

    Topic

    Probability

    In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

    ক)
    21/46
    খ)
    1/5
    গ)
    3/25
    ঘ)
    1/50

    Explanation

    Let S be the sample space and E be the event of selecting 1 girl and 2 boys. Then, n(S) = Number ways of selecting 3 students out of 25 = 25C325C_3 = 2300. n(E)= 10C1×15C210C_1\times15C_2 = 1050. P(E) = n(E)/n(s) = 1050/2300 = 21/46

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