JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    If any four numbers are selected and they are multiplied, then the probability that the last digit will be 1, 3, 5 or 7 is

    A) 4/625   

    B) 18/625

    C) 16/625 

    D) none of these

    Correct Answer: C

    Solution :

    [c] The total number of digits in any number at the unit's place is 10. Therefore, \[n(S)=10\] If the last digit in product is 1, 3, 5 or 7, then it is necessary that the last digit in each number must be 1, 3, 5 or 7. Therefore. \[n(A)=4\] \[\therefore P(A)=\frac{4}{10}=\frac{2}{5}\] Hence, the required probability is \[{{(2/5)}^{4}}=16/625.\]


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