JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-I

  • question_answer
    Seven people set themselves indiscriminately at round table. The probability that two distinguished person will be next to each is

    A) \[\frac{1}{3}\]

    B) \[\frac{1}{2}\]

    C) \[\frac{1}{4}\]

    D) \[\frac{2}{3}\]  

    Correct Answer: A

    Solution :

    [a] Seven people can seat themselves at a round table in 6! Ways. The number of ways in which two distinguished persons will be next to each other \[r=2(5)!\]. Hence, the required probability \[=\frac{2(5)!}{6!}=\frac{1}{3}.\]


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