JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    There are n letters and n addressed envelopes. The probability that all the letters are not kept in the right envelope, is

    A)                 \[\frac{1}{n\,!}\]    

    B)                 \[1-\frac{1}{n\,!}\]

    C)                 \[1-\frac{1}{n}\]   

    D)                 None of these

    Correct Answer: B

    Solution :

               Required probability is \[1-P\] (All letters in right envelope) \[=1-\frac{1}{n\,!}\]                 {As there are total number of \[n\,!\] ways in which letters can take envelopes and just one way in which they have corresponding envelopes}.


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