JEE Main & Advanced Mathematics Probability Question Bank Use of permutations and combinations in probability

  • question_answer
    A box contains 25 tickets numbered 1, 2, ....... 25. If two tickets are drawn at random then the probability that the product of their numbers  is even, is

    A)            \[\frac{11}{50}\]                     

    B)            \[\frac{13}{50}\]

    C)            \[\frac{37}{50}\]                     

    D)            None of these

    Correct Answer: C

    Solution :

                       Required probability is \[1-P\]            (Both odd numbers are chosen)                    \[=1-\frac{{}^{13}{{C}_{2}}}{{}^{25}{{C}_{2}}}=1-\frac{13\,.\,12}{25\,.\,24}=\frac{37}{50}.\]


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