VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    A four-digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd, is

    A) zero                      

    B) \[\frac{1}{3}\]

    C) \[\frac{1}{4}\]                  

    D)  None of these

    Correct Answer: D

    Solution :

    Given  numbers are 1, 2, 3, 4,  Possibilities for unit?s  place digit (either 1 or 3)                                                 = 2 Possibilities for ten?s digit = 3 Possibilities for thousand? place?s digit = 2 \[\therefore \] Number of favourable outcomes                                \[=2\times 3\times 2\times 1=12\] Number of numbers formed by 1, 2, 3, 4 (without repetitions ) = 4! \[\therefore \]   Required probability \[=\frac{12}{4\times 3\times 2}=\frac{1}{2}\]


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