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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-2

  • question_answer
    The probability that a marksman will hit a target is given as \[\frac{1}{5}\]Then, the probability of at least one hit in 10 shots is

    A)  \[1-{{\left( \frac{4}{5} \right)}^{10}}\]           

    B)  \[\frac{1}{{{5}^{10}}}\]          

    C)  \[1-\frac{1}{{{5}^{10}}}\]       

    D)  \[{{\left( \frac{4}{5} \right)}^{10}}\]

    Correct Answer: A

    Solution :

    [a] \[P=\frac{1}{5},q\frac{4}{5}\] \[\therefore \]      Required probability \[=1-{{\left( \frac{4}{5} \right)}^{10}}\]


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