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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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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) = = = 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.