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A fair coin is tossed repeatedly until either heads comes up three times in a row or tails comes up four times in a row. What is the probability that the coin will be tossed more than 10 times? Express your answer as a common fraction.

 Oct 7, 2025
 #2
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This means that these do not happen with 10 flips. 

 

Firstly, we calculate the probability that there are 3 heads in a row

 

Ways to have 3 heads in a row occur 8 times 1

7 times: 

6 times:

5 times:

4 times:

3 times:

2 times:

1 time:

 

find the amount of ways then multiply by 1/8

 

Then do the same for 4 tails in a row. Then substract it all from 1

 Oct 11, 2025

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