Coin toss problem. Which is more likely: THT or TTH?

A coin is tossed until the combination THT or TTH occurs. On average which of these combinations is more likely to occur first?
Update: This is a follow up to;...
Update 2: Just to clarify, you flip a coin numerous times until one of these combinations show up.

THT showed up first.
Update 3: Farful: your question has THT and THH. My question has THT and TTH.
That actually makes a difference.
Update 4: Steiner: I agree that it may take infinite tosses to get a result, but the probability of that is zero.
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