965 B
965 B
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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.