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Tens vs ace-king: the odds

Is pocket tens against ace-king really a coin flip?

Hand Cards Wins Equity
Pocket tens 10♥ 10♦ 57.1% 57.3%
Ace-king offsuit A♠ K♣ 42.6% 42.7%
Split pot 0.31%

All-in before the flop, with five cards to come. Equity is each hand's average share of the pot — outright wins plus half of the split pots. Computed by enumerating all 1,712,304 possible boards with this site's own engine, so these are exact figures rather than a simulation.

Why the number looks like that

The textbook coin flip, and the pair is the favourite by more than the word "flip" suggests, as long as ace-king is offsuit. Tens sit just below the four overcards that ace-king can make a straight with, so a broadway board is the danger; against ace-king suited the edge shrinks to almost nothing, and against a lower pair it grows. This is the hand most tournament all-ins are actually about.

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