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JEE Main & Advanced Mathematics Probability Question Bank Odds in favour and odds against Addition theorem on probability

  • question_answer
    A party of 23 persons take their seats at a round table. The odds against two persons sitting together are               [RPET 1999]

    A)                 10 : 1     

    B)                 1 : 11

    C)                 9 : 10     

    D)                 None of these

    Correct Answer: A

    Solution :

                       Required probability                                                   \[=\frac{(21)\,!\,2\,!}{(22)\,!}=\frac{1}{11}=\frac{1}{1+10}\] .                                 \  Odds against = 10 : 1.


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