JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    A box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7 is

    A) 2/19 

    B) 7/20

    C) \[1-{{(7/20)}^{3}}\]     

    D) none of these

    Correct Answer: D

    Solution :

    [d] Let X denote the largest number on the 3 tickets drawn. Then, \[P(X\le 7)={{(7/20)}^{3}}\] and \[P(X\le 6)={{(6/20)}^{3}}.\] Then, the required probability is \[P(X=7)={{\left( \frac{7}{20} \right)}^{3}}-{{\left( \frac{6}{20} \right)}^{3}}\]  


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