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# thought of this

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What is the probability that if I flip a fair coin 100 times, at least one time I will get the same top face at least five times in a row?

Oct 19, 2021

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Assuming a "fair" coin, there are 2100   different arrangements of heads and tails after 100 flips.

### Also there is a 100c5ways of getting 5 top face in a row .

p(5 top face in row) = $$\frac{100C5}{{2}^{100}}$$

Oct 20, 2021