Fun probability problem: Flip a coin until THT or THH appears. Which will appear first on average?

H = Heads T = Tails Suppose you keep flipping a coin until THT or THH appears. Will it take longer on average for THT to appear or THH? Or will the they appear after the same amount of flips on average? Bonus question: On average, which flip will THT first appear? On average, which flip will THH first appear? show more H = Heads
T = Tails

Suppose you keep flipping a coin until THT or THH appears.

Will it take longer on average for THT to appear or THH? Or will the they appear after the same amount of flips on average?

Bonus question: On average, which flip will THT first appear? On average, which flip will THH first appear?
Update: Hint: answer is not what you think it is
4 answers 4