SOLUTION: In tossing 5 coins, how is the probability of getting all combinations of "heads" or "tails" calculated? Not sure how to solve.

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Question 1185675: In tossing 5 coins, how is the probability of getting all combinations of "heads" or "tails" calculated?
Not sure how to solve.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
In tossing 5 coins, how is the probability of getting all combinations of "heads" or "tails" calculated?
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In tossing n coins, the probability of getting k "heads" and m "tails",  where k + m = n,  is 


    P = C%5Bn%5D%5Ek%2A%281%2F2%29%5Ek%2A%281%2F2%29%5Em = C%5Bn%5D%5Ek%2A%281%2F2%29%5E%28k%2Bm%29 = C%5Bn%5D%5Ek%2A%281%2F2%29%5En.


It is the formula of binomial distribution.


C%5Bn%5D%5Ek  are the binomial coefficients.

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On binomial distribution, see these Internet sources

https://en.wikipedia.org/wiki/Binomial_distribution

https://www.itl.nist.gov/div898/handbook/eda/section3/eda366i.htm



For binomial distribution probability online calculator (free of charge), see this link

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


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If you want to see many solved problems on binomial distribution probability,  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,
which is your  PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).