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10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    If a number x is chosen from the numbers 1, 2, 3 and a number y is selected from the numbers 1. 4, 9. Then \[P(xy<8)\] is

    A) \[\frac{7}{9}\]

    B) \[\frac{5}{9}\]

    C) \[\frac{2}{3}\]

    D) \[\frac{4}{9}\]

    Correct Answer: D

    Solution :

    [d] Total possible outcomes are
    \[\{(1,1),(1,4),(1,9),(2,1),(2,4),(2,9),(3,1),(3,4),(3,9)\}\]i.e., 9   
    Favourable outcomes are
    \[\{(1,1),(1,4),(2,1),(3,1)\}\]i.e., 4    
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,p(xy<8)=4/9\]


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