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23 or 8 outcomes. In any experiment with two outcomes, if you do the experiment n times there are 2n outcomes.

This about each time you roll the coin have two possible outcomes, H or T.

So if you roll it 2 times, you have 4 possible outcomes. HH, HT, TH or TT.

Do it one more time and you have 8 outcomes.

HHH, HHT, HTH, THH

TTT TTH THT HTT

Notice there are

1 outcome with 3 heads, 1 with 3 tails

3 with two heads

3 with two tails

This pattern follow the binomial theorem.

The coefficients of the binomial (H+T)3

are 1 3 3 1. The same numbers as we have above!

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