JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    The records of a hospital show that 10% of the cases of a certain disease are fatal. If 6 patients are suffering from the disease, then the probability that only three will die is [MP PET 1998]

    A)                 \[1458\times {{10}^{-5}}\]              

    B)                 \[1458\times {{10}^{-6}}\]

    C)                 \[41\times {{10}^{-6}}\]  

    D)                 \[8748\times {{10}^{-5}}\]

    Correct Answer: A

    Solution :

               Probability of disease is fatal = \[p=10%\]            \[p=\frac{10}{100}=\frac{1}{10},\,\,q=\frac{9}{10}\]            Number of patients = 6, Number of die cases = 3            \[\therefore \]Probability that 3 will die                                                 \[={}^{6}{{C}_{3}}{{\left( \frac{1}{10} \right)}^{3}}{{\left( \frac{9}{10} \right)}^{3}}=1458\times {{10}^{-5}}\].


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