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

  • question_answer
    A bag contains tickets numbered from 1 to 20. Two tickets are drawn. The probability that both the numbers are prime, is                                                                               [AISSE 1981]

    A)            \[\frac{14}{95}\]                     

    B)            \[\frac{7}{95}\]

    C)            \[\frac{1}{95}\]                       

    D)            None of these

    Correct Answer: A

    Solution :

                       There are 8 prime numbers \[2,\,\,3,\,\,5,\,\,7,\,\,11,\,\,13,\,\,17,\,\,19.\]                    Hence required probability \[=\frac{{}^{8}{{C}_{2}}}{{}^{20}{{C}_{2}}}=\frac{8.7}{20\,.\,19}=\frac{14}{95}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner