Multiple Choice Questions on A bag contains 6 red 2 blue and 4 green balls 3 balls are chosen at random What is the probability t........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A bag contains 6 red 2 blue and 4 green balls 3 balls are chosen at random What is the probability t...........

Quantitative Aptitude ( CCS) Probability
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    A bag contains 6 red, 2 blue and 4 green balls. 3 balls are chosen at random. What is the probability that at least 2 balls chosen will be red?

    2/7

    Incorrect Answer

    1/2

    Correct Answer

    1/3

    Incorrect Answer

    2/5

    Incorrect Answer
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    Explanation:

    There will be 2 cases
    Case 1: 2 red, 1 blue orgreen
    Prob. = 6C2 × 6C1 / 12C3 = 9/22
    Case 2: all 3 red
    Prob. = 6C3 / 12C3 = 2/22
    Add the cases, required prob. = 9/22 + 2/22 = 11/22 = 1/2

    Hence, option 2 is the correct answer.

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