CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    Out of 15 persons 10 can speak Hindi and 8 can speak English. If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is

    A)  3/5                                       

    B)  7/12

    C)  1/5                       

    D)         2/5

    E)  2/3

    Correct Answer: C

    Solution :

    Total number of persons = 15 Number of persons who can speak Hindi =10 Number of persons who can speak English = 8 and number of persons who can speak Hindi and English both\[=10+8-15=3\] \[\therefore \]Required probability \[=\frac{^{7}{{C}_{1}}{{\times }^{3}}{{C}_{1}}}{^{15}{{C}_{2}}}=\frac{7\times 3}{15\times 14}=\frac{1}{5}\]


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