JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    Two dice are thrown n times in succession. The probability of obtaining a double - six at least once is

    A) \[{{\left( \frac{1}{36} \right)}^{n}}\]

    B) \[1-{{\left( \frac{35}{36} \right)}^{n}}\]

    C) \[{{\left( \frac{1}{12} \right)}^{n}}\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] The probability of getting a double - six in one throw \[=\frac{1}{36}\] The probability of not getting a double - six in One throw \[=1-\frac{1}{36}=\frac{35}{36}\] So the probability of not getting a double-six in n throw \[={{\left( \frac{35}{36} \right)}^{n}}\] \[\therefore \] Probability of obtaining a double - six at least once \[=1-{{\left( \frac{35}{36} \right)}^{n}}\]


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