10th Class Mathematics Probability Question Bank Probability

  • question_answer
    A four digit number is formed with the digits 1, 3, 4, 5 without repetition, Find the chance that the number is divisible by 5.

    A)  \[\frac{3}{4}\]                         

    B)  \[\frac{1}{4}\]

    C)  \[\frac{9}{16}\]                        

    D)  \[\frac{1}{16}\]

    Correct Answer: B

    Solution :

    (b): Total possible number of 4 digits = 24, the number is divisible by 5 if unit digit itself is 5. Therefore we fix 5 at unit place and then remaining 3 places can be filled up in 6 Ways. Hence, the required probability \[=\frac{6}{24}=\frac{1}{4}\].


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