Today's problem: HTH vs HTT Pattern Race
Alice and Bob are watching a single stream of fair coin flips.
Alice wins as soon as the pattern HTH appears. Bob wins as soon as the pattern HTT appears. Whichever pattern shows up first in the sequence determines the winner.
What is the probability that Alice wins?
Hint: both patterns start with the same two-letter prefix. Once the stream reaches HT, the next flip decides the race.
Full solution and 2,800+ more at quantvault.org/problems?id=501