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  • Help me answer: - Statistics and Probability - JEE Main-3

The probability that a student is not a swimmer is \frac{1}{5} . The probability that out of 5 students exactly 4 are swimmer is

  • Option 1)

    \left ( \frac{4}{5} \right )^{3}

     

     

     

  • Option 2)

    \left ( \frac{4}{5} \right )^{4}

  • Option 3)

    ^{5}\textrm{C}_{4}\left ( \frac{4}{5} \right )^{4}

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we learned

 

Binomial Theorem on Probability -

If an experiment is repeated n times under similar conditions we say that n trials of the experiment have been made.

Let E be an event.

P= the Probability of occurrence of event E in one trial.

q = 1- p = probability of non occurrence of event E in one trial such that p+q = 1

x= number of successes.

-

 

 Let p = probability that a student selected at random is a swimmer  =1-\frac{1}{5}=\frac{4}{5}

Probability that exactly 4 students are swimmer is  ^{5}C_{4}p^{4}q=5\left ( \frac{4}{5} \right )^{4}\frac{1}{5}=\left ( \frac{4}{5} \right )^{4}


Option 1)

\left ( \frac{4}{5} \right )^{3}

 

 

 

Option 2)

\left ( \frac{4}{5} \right )^{4}

Option 3)

^{5}\textrm{C}_{4}\left ( \frac{4}{5} \right )^{4}

Option 4)

none of these

Posted by

Himanshu

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