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

  • question_answer
    In a lottery there were 90 tickets numbered 1 to 90. Five tickets were drawn at random. The probability that two of the tickets drawn numbers 15 and 89 is                                         [AMU 2001]

    A)            \[\frac{2}{801}\]                     

    B)            \[\frac{2}{623}\]

    C)            \[\frac{1}{267}\]                     

    D)            \[\frac{1}{623}\]  

    Correct Answer: A

    Solution :

               Required probability \[=\frac{^{88}{{C}_{3}}}{^{90}{{C}_{5}}}=\frac{2}{801}\].


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