--- schema: poketpoker.hand/1 id: Kh3c class: K3o class_rank: 80 class_of: 169 percentile: 0.3891 combos_in_class: 12 equivalent_ids: [Kc3d, Kc3h, Kc3s, Kd3c, Kd3h, Kd3s, Kh3d, Kh3s, Ks3c, Ks3d, Ks3h] suited: false paired: false flush_suits: [clubs, hearts] headline: { win: 49.30, tie: 4.18, equity: 51.39 } engine: { name: poker-engine, version: 1.9.0 } canonical_url: https://poketpoker.com/hands/Kh3c.md paid_record: https://poketpoker.com/api/hands/Kh3c price_usd: 0.01 license: CC-BY-4.0 --- # Kh3c — king-three offsuit **Fold from every position when the pot is unopened.** Kh3c ranks 80 of the 169 distinct starting hands (top 38.9%). Against one random hand it wins 49.30% of showdowns and takes 51.39% of the pot. ## What this hand is King-three offsuit. Before any board card is dealt its odds are identical to Kc3d, Kc3h, Kc3s, Kd3c, Kd3h, Kd3s, Kh3d, Kh3s, Ks3c, Ks3d, Ks3h — suits are interchangeable pre-flop, so all 12 combinations in class K3o share the numbers below. That stops being true the moment the board has suits, which is what the paid record covers. ## Equity against random opponents | Opponents | Win % | Tie % | Pot equity % | | --------- | ----- | ----- | ------------ | | 1 | 49.30 | 4.18 | 51.39 | | 2 | 30.04 | 4.14 | 32.00 | | 3 | 21.09 | 3.70 | 22.80 | | 4 | 16.09 | 3.37 | 17.62 | | 5 | 12.78 | 3.16 | 14.22 | | 6 | 10.53 | 3.03 | 11.91 | | 7 | 8.89 | 2.86 | 10.18 | Monte Carlo, 400,000 trials per row, seed 1 — same seed, same digits. "Pot equity" counts outright wins plus a share of split pots, which is the number to compare against pot odds. ## Head-to-head, exact Against the opponent's whole hand class, not one chosen pair of cards: every combination of it you do not block, each enumerated over all 1,712,304 boards. No sampling. "Combos" is how many were averaged. | Against | Hero pot equity % | Hero win % | Split % | Combos | | ------- | ----------------- | ---------- | ------- | ------ | | AA | 11.14 | 10.92 | 0.45 | 6 | | KK | 5.81 | 5.07 | 1.49 | 3 | | QQ | 27.40 | 27.17 | 0.45 | 6 | | JJ | 27.42 | 27.20 | 0.43 | 6 | | TT | 27.51 | 27.30 | 0.43 | 6 | | 77 | 29.18 | 28.92 | 0.52 | 6 | | 22 | 46.24 | 45.75 | 0.99 | 6 | | AKs | 22.03 | 21.38 | 1.30 | 3 | | AKo | 22.76 | 22.11 | 1.30 | 9 | | AQs | 33.05 | 32.78 | 0.53 | 4 | | JTs | 51.03 | 50.67 | 0.72 | 4 | | 76s | 51.78 | 51.42 | 0.71 | 4 | Averaging matters here. Against a single representative the answer shifts with the suits — J♣T♣ takes 17.77% against Q♣Q♦ but 18.89% against Q♠Q♦, because the shared club both blocks a flush and removes cards. Averaged over the class the figure is the same whichever suits you hold, which is what makes it quotable. ## What this page cannot tell you Pre-flop equity is not a strategy. It ignores stack depth, bet sizing, and how your opponents actually play. The verdict above is a conventional opening chart, not solver output. Equity against a random hand is also not equity against a range: an opponent who raises has better than random cards, and this page does not model that. ## The full record Equity against modelled ranges (top 5/10/20/40%), position-by-position guidance, and the suit-specific analysis for this exact combination: GET https://poketpoker.com/api/hands/Kh3c $0.01 USDC (x402) ## Related - Suit-equivalents: [Kc3d](Kc3d.md) · [Kc3h](Kc3h.md) · [Kc3s](Kc3s.md) · [Kd3c](Kd3c.md) · [Kd3h](Kd3h.md) · [Kd3s](Kd3s.md) · [Kh3d](Kh3d.md) · [Kh3s](Kh3s.md) · [Ks3c](Ks3c.md) · [Ks3d](Ks3d.md) · [Ks3h](Ks3h.md) - All 1,326 hands: [index](index.md) - URL convention: `/hands/.md`, higher rank first, suits ordered c, d, h, s. So `2d2s`, never `2s2d` — any hand can be addressed directly, without consulting the index. - Licence: CC-BY-4.0 — reuse freely with attribution to https://poketpoker.com.