What are the odds of hitting a gutshot?

16.5% by the river, 8.7% on the river alone.

Poker odds, answered

Gutshot straight draw odds

A gutshot (inside straight draw, 4 outs) hits 16.5% of the time from the flop to the river, 8.5% on the turn and 8.7% on the river.

Exact counts, not simulations.

Only one rank fills the gap, four cards: four outs among 47 unseen cards on the flop.

Flop to river: 1 − (43 × 42) ÷ (47 × 46) One card: 4 ÷ 46 on the river

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