Question 1199983
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A jar contains a very large number of purple jelly beans and green jelly beans. 
There are three times as many purple ones as green ones. 
If an individual chooses 5 beans from the jar, estimate the probability 
that 3 of the beans will be green?
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<pre>
It is a binomial distribution probability problem.


    p = P(success) = P(green) = 1/4 = 0.25;  q = 1-p = P(purple) = 3/4 = 0.75.

    number of trials  n= 5;

    number of successful trials  k= 3 (3 green beans of 5).


The probability under the question is

    P(n=5; k=3;  p=0.25) = {{{C[5]^3*p^3*q^(5-3)}}} = {{{10*0.25^3*0.75^2}}} = 0.0879  (rounded).    <U>ANSWER</U>
</pre>

Solved.


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To see many other similar &nbsp;(and different) &nbsp;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.