freeCodeCamp/guide/english/mathematics/example-all-the-ways-you-can-flip-a-coin/index.md

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Example All the Ways You Can Flip a Coin

Example All the Ways You Can Flip a Coin

In the experiment of flipping a coin, the mutually exclusive outcomes are the coin landing either heads up or tails up.

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.

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:

• n = 1 | H T
• n = 2 | HH HT TH TT
• n = 3 | HHH THH HTH HHT TTH THT HTT TTT
• n = 4 | HHHH THHH HHHT THHT HHTH THTH HHTT THTT HTHH TTHH HTHT TTHT HTTH TTTH HTTT TTTT

The formula for all possible outcomes of flipping n coins is 2 to the nth power.

More Information:

• Theory of Probability