Question 1201095
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John and Peter are playing tennis until someone wins n games. 
It is known that in each game, Jonas wins with probability p. 
What is the probability that the winner of the competition loses k games? 
(p = 0.84, n = 3, k = 1)
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        It is a standard problem to calculate the binomial distribution probability.



<pre>
The number of trials n= 3; the number of wins is 2 (the number of losses is 1);
the probability to win each individual game is p= 0.84.


Use the standard formula of binomial distribution with given parameters

    P = P(n=3; k=2; p=0.84) = {{{C[3]^1*p^2*(1-p)^(3-2)}}} = {{{3*0.84^2*(1-0.84)}}} = 0.3387 (rounded).    <U>ANSWER</U>
</pre>

Solved.


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To see many other similar solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

in this site.


Learn the entire subject from there.