JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    In order to get at least once a head with probability \[\ge 0.9,\] the number of times a coin needs to be tossed is                 [Roorkee 1989]

    A)                 3             

    B)                 4

    C)                 5             

    D)                 None of these

    Correct Answer: B

    Solution :

               Probability of getting at least one head in \[n\] tosses            \[=1-{{\left( \frac{1}{2} \right)}^{n}}\ge 0.9\Rightarrow {{\left( \frac{1}{2} \right)}^{n}}\le 0.1\Rightarrow {{2}^{n}}\ge 10\Rightarrow n\ge 3\]                 Hence least value of \[n=4.\]


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