SOLUTION: Find the probability of throwing a sum of 2 at least 3 times in 9 throws of a pair of fair dice.

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Question 1176818: Find the probability of throwing a sum of 2 at least 3 times in 9 throws
of a pair of fair dice.

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the probability of throwing a sum of 2 at least 3 times in 9 throws
of a pair of fair dice.
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It is a binomial distribution probability problem.

    - number of trials        n =  9;
    - number of success trial k >= 3;
    - Probability of success on a single trial p = 1/36 = 0.027777778  (the case 1+1 = 2).



We need calculate  P(n=9; k>=3; p=1/36).      


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=9; k>=3; p = 0.027777778) = 0.00158748391,   or   0.001587 (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)
    - Solving problems on Binomial distribution with Technology (using online solver)
in this site.

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