JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If the probability that a student is not a swimmer is 1/5, then the probability that out of 5 students one is swimmer is

    A)                 \[^{5}{{C}_{1}}{{\left( \frac{4}{5} \right)}^{4}}\left( \frac{1}{5} \right)\]             

    B)                 \[^{5}{{C}_{1}}\,\frac{4}{5}\,{{\left( \frac{1}{5} \right)}^{4}}\]

    C)                 \[\frac{4}{5}{{\left( \frac{1}{5} \right)}^{4}}\]             

    D)                 None of these

    Correct Answer: B

    Solution :

               Required probability = \[{}^{5}{{C}_{1}}\left( \frac{4}{5} \right)\text{ }{{\left( \frac{1}{5} \right)}^{4}}\]                 {Here strictly one is swimmer}


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