SOLUTION: Find the probability that out of 25 rolls of a fair die, the number “4” lands face-up 11 or fewer times

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Question 1176906: Find the probability that out of 25 rolls of a fair die, the number “4” lands face-up 11 or fewer times
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is a binomial distribution probability problem.


    - number of trials        n =  25;
    - number of success trial k <= 11;
    - Probability of success on a single trial p = 1%2F6 = 0.16666667.



We need calculate  P(n = 25; k <= 11; p = 0.16666667).      


To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site 

https://stattrek.com/online-calculator/binomial.aspx


It provides nice instructions  and  a convenient input and output for all relevant options/cases.


    P(n = 25; k <= 11; p = 0.16666667) = 0.99972312452,   or   0.9997 (rounded).       ANSWER

Solved.

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To see a variety similar solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
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in this site.

After reading these lessons,  you will be able to solve such problems on your own,
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