Multiple Choice Questions on A bag contains X red balls and 5 green balls 2 balls are picked up randomly one after the other with........... for IBPS (PO/SO) Preparation

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Multiple Choice Questions

A bag contains X red balls and 5 green balls 2 balls are picked up randomly one after the other with...........

Quantitative Aptitude(IBPS PO) Probability
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    A bag contains X red balls and 5 green balls. 2 balls are picked up randomly one after the other without replacement from the bag, then the probability of both balls being red is 3/7. What will be the value of X?

    10

    Correct Answer

    15

    Incorrect Answer

    13

    Incorrect Answer

    20

    Incorrect Answer

    22

    Incorrect Answer
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    Explanation:
    Let the number of red balls be X, then
    Probability of getting 1st ball red = X/(X+5)
    Probability of getting 2nd ball red (Without
    replacement) = (X–1)/(X+4)
    Probability of getting both balls red = [X/(X+5)] × [(X–1)/(X+4)] = 3/7
    On solving, we get
    X = 10

    By: Munesh Kumari
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