10th Class Mathematics Probability Question Bank Probability

  • question_answer
    A three-digit number is to be formed using the digits 3, 4, 7, 8 and 2 without repetition, what is the probability that it is an odd number?

    A)  \[\frac{2}{5}\] 

    B)  \[\frac{1}{5}\]

    C)  \[\frac{4}{5}\]                         

    D)  \[\frac{3}{5}\]

    Correct Answer: A

    Solution :

    (a): If a number ends with an odd number, then it is odd number, find the number of 3 digit odd numbers formed by using the digits 3, 4, 7, 8 and 2, find the total number of 3 digit numbers formed by using the digits 3. 4, 7, 8 and 2. In the box notation, odd numbers can be formed in the following ways:
    Hundred Ten Unit
    Odd  nos. 3 ways 4 ways 2 ways \[2\times 3\times 4\]
    Similarly,
    Total nos. 3 ways 4 ways 5 ways \[5\times 4\times 3\]
                           


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