JEE Main & Advanced JEE Main Paper (Held On 11-Jan-2019 Morning)

  • question_answer
    Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is [JEE Main Online Paper (Held On 11-Jan-2019 Morning]

    A) \[\frac{7}{10}\]                                     

    B)               \[\frac{3}{5}\]

    C)               \[\frac{2}{5}\]                                      

    D)               \[\frac{1}{2}\]

    Correct Answer: C

    Solution :

    Since, sum of two numbers is even, so either both the numbers are even or both are odd. So, the required probability\[=\frac{^{5}{{C}_{2}}}{^{5}{{C}_{2}}{{+}^{6}}{{C}_{2}}}\] \[=\frac{10}{10+15}=\frac{2}{5}\]


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