23 lines
965 B
Markdown
23 lines
965 B
Markdown
---
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title: Example All the Ways You Can Flip a Coin
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---
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## Example All the Ways You Can Flip a Coin
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In the experiment of flipping a coin, the mutually exclusive outcomes are the coin landing either heads up or tails up.
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When we flip a coin a very large number of times, we find that we get half heads, and half tails. We conclude that the probability to flip a head is 1/2, and the probability to flip a tail is 1/2.
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Consider the experiment of flipping of **n** coins where we can enumerate all possible outcomes as follows, where H indicates a head, and T a tail:
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* **n = 1** | H T
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* **n = 2** | HH HT TH TT
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* **n = 3** | HHH THH HTH HHT TTH THT HTT TTT
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* **n = 4** | HHHH THHH HHHT THHT HHTH THTH HHTT THTT HTHH TTHH HTHT TTHT HTTH TTTH HTTT TTTT
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The formula for all possible outcomes of flipping n coins is 2 to the nth power.
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#### More Information:
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- [Theory of Probability](http://www.pas.rochester.edu/~stte/phy104-F00/notes-2.html)
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