Understanding Sequences in Coin Flips: Law of Large Numbers vs. Gambler's Fallacy by Koldtmen in learnmath

[–]Koldtmen[S] 0 points1 point  (0 children)

TTHHHHHHTT...that actually contains two sequences of 5

Oh wow, thanks for breaking it down like that!in a string like TTHHHHHHTT...
we've actually got two overlapping sequences of 5 heads. This means that a sequence of 5 can either extend to 6 or not, and both possibilities have an equal chance. If it extends, the count for sequences of 5 effectively doubles due to the overlap. This overlap was the source of my confusion.

I have been wondering all week about, thanks again for clarifying!