SOLUTION: 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 j

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Question 1199983: 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?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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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?
~~~~~~~~~~~~~~~~~ 

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%5B5%5D%5E3%2Ap%5E3%2Aq%5E%285-3%29 = 10%2A0.25%5E3%2A0.75%5E2 = 0.0879  (rounded).    ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.