Say we flip a biased coin such that the probability of getting the same outcome in a row (head-head or tail-tail) is $p$.
What is the probability of getting three or more tails consecutively out of $n$ flips (and alternatively out of infinite number of flips).
For example: TTT-H-TTT-HH-TTTT...
I am looking for:
- The fraction of tails that are in sections of size three or more.
- The expected size of sections with tails.