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JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    In a throw of three dice, the probability that at least one die shows up 1, is                                  [DSSE 1981]

    A)                 \[\frac{5}{6}\]       

    B)                 \[\frac{91}{216}\]

    C)                 \[\frac{1}{36}\]    

    D)                 \[\frac{125}{216}\]

    Correct Answer: B

    Solution :

               Required probability is \[1-p\](no die show up 1)                                                 \[=1-{{\left( \frac{5}{6} \right)}^{3}}=\frac{216-125}{216}=\frac{91}{216}.\]


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