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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 = = = .
It is the formula of binomial distribution.
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).