10th Class Mathematics Probability Question Bank Case Based (MCQs) - Probability

  • question_answer
    The probability of drawing neither a pink nor a white ball is:

    A) \[\frac{9}{25}\]

    B) \[\frac{12}{25}\]

    C) \[\frac{16}{25}\]

    D) \[\frac{17}{25}\]

    Correct Answer: A

    Solution :

    [d] The number of pink balls =8
    and number of white balls = 8.
    \[\therefore \] Total number of pink balls + white balls \[=8+8=16\].
    \[\therefore \] Probability of drawing either a pink ball or a white ball is \[\frac{16}{25}.\]
    As \[P(E)+P(\bar{E})=1.\]
    \[\therefore \] Probability of drawing neither a pink ball nor white ball
                \[=1-\frac{16}{25}=\frac{25-16}{25}=\frac{9}{25}\]


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