KVPY Sample Paper KVPY Stream-SX Model Paper-29

  • question_answer
    If the probability of hitting a target by a shooter, in any shot, is \[\frac{1}{3},\] then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than \[\frac{5}{6}\] is:

    A) \[3\]

    B) \[6\]

    C) \[5\]

    D) \[4\]

    Correct Answer: C

    Solution :

    \[1-{{\left( \frac{2}{3} \right)}^{n}}>\frac{5}{6}\]
    \[{{\left( \frac{2}{3} \right)}^{n}}<\frac{1}{6}\] \[\Rightarrow \]  \[n=5.\]

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