Subject

    Quantitative Aptitude

    Topic

    Probability

    One-third of 12 oranges got rotten. If 4 oranges are taken out randomly, what is the probability that all orange are rotten?

    ক)
    14/995
    খ)
    1/495
    গ)
    16/495
    ঘ)
    8/495
    ঙ)
    None of these

    Explanation

    Total rotten oranges = 12/3 = 4 4 oranges can be selected from 12 oranges in 12 C 4 ways, and four rotten oranges can be selected as a set in 4 C 4 ways Probability = No. of favourable outcomes/ Total no. of outcomes The probability that all oranges are rotten = 4 C 4 / 12 C 4 =1(12×11×10×94×3×2×1)=1495= \frac{1}{{\left( {\frac{{12 \times 11 \times 10 \times 9}}{{4 \times 3 \times 2 \times 1}}} \right)}} = \frac{1}{{495}}

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