Flip a coin until someone's three-flip pattern appears. Every pattern sounds as likely as every other — and each one is, alone. But head-to-head the game is nontransitive: whatever you pick, something beats it, rock-paper-scissors style, and the second player can always grab the beater. Your opponent's trick is an ambush at the overlap.
This is rock-paper-scissors wearing a coin costume. “HHH is as likely as THH” is true in the only sense that doesn’t matter: in any pre-agreed window of three flips, every pattern has exactly a 1-in-8 chance. But the race isn’t scored on windows — it’s scored on who shows up first, and “first” is a fight about overlaps.
Because the beating relation runs in a circle, there is no best pattern — only best replies. Whoever commits first hands the other player the ambush. That’s the hustle: the game is perfectly fair right up to the moment you announce your pick, and after that it never was.