JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If x denotes the number of sixes in four consecutive throws of a dice, then \[P\,(x=4)\]is                                            [BIT Ranchi 1991]

    A)                 \[\frac{1}{1296}\]

    B)                 \[\frac{4}{6}\]

    C)                 1             

    D)                 \[\frac{1295}{1296}\]

    Correct Answer: A

    Solution :

               Probability of coming ?six? in one throw is \[\frac{1}{6}\]            Hence required probability is given by                 \[={}^{4}{{C}_{4}}{{\left( \frac{1}{6} \right)}^{4}}.{{\left( \frac{5}{6} \right)}^{0}}=\frac{1}{1296}.\]


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