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.
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