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10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black? (NCERT EXEMPLAR)

    A) \[\frac{1}{5}\]

    B) \[\frac{1}{3}\]

    C) \[\frac{7}{15}\]

    D) \[\frac{8}{15}\]

    Correct Answer: B

    Solution :

    [b] Total no. of balls
    \[=\text{3 red}+\text{5 white}+\text{7 black}=\text{15}\] 
    and total no of favourable outcomes
    = Neither red nor black balls   
    \[=15-(3+7)=15-10=5\]
    \[\therefore \] Required probability \[=\frac{5}{15}=\frac{1}{3}\]


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