JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The corners of regular tetrahedrons are numbered 1, 2, 3, 4. Three tetrahedrons are tossed.  The probability that the sum of upward corners will be 5 is                                              [AMU 1999]

    A)                 \[\frac{5}{24}\]    

    B)                 \[\frac{5}{64}\]

    C)                 \[\frac{3}{32}\]    

    D)                 \[\frac{3}{16}\]

    Correct Answer: C

    Solution :

               Required combinations are (2, 2, 1), (1, 2, 2), (2, 1, 2), (1, 3, 1,),  (3, 1, 1) and (1, 1, 3)                 \  Required probability \[=\frac{6}{{{4}^{3}}}=\frac{6}{64}=\frac{3}{32}\].


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