Subject

    Quantitative Aptitude

    Topic

    Probability

    A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.

    ক)
    551/15134
    খ)
    1/2
    গ)
    552/15379
    ঘ)
    1/9

    Explanation

    Total number of elementary events = 50 c 5 Given,third ticket =30 => first and second should come from tickets numbered 1 to 29 = 29 c 2 ways and remaining two in 20 c 2 ways. Therfore,favourable number of events = 29C2×20C229C_2\times20C_2 Hence,required probability = 29C2×20C250C5\frac{29C_2\times20C_2}{50C_5} = 551 / 15134

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