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JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is   AIEEE  Solved  Paper-2002

    A) \[\frac{1}{25}\]          

    B)                           \[\frac{24}{25}\]

    C) \[\frac{2}{25}\]                    

    D)           None of these

    Correct Answer: B

    Solution :

    The total number of ways in which numbers can be chosed \[=25\times 25=625\]. The number of ways in which both players can choose same numbers = 25 \[\therefore \] Probability that they win a prize \[=\frac{25}{625}=\frac{1}{25}\] Thus, the probability that they will not win a prize                                    \[=1-\frac{1}{25}=\frac{24}{25}\]


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