---
schema: poketpoker.hand/1
id: Qh3h
class: Q3s
class_rank: 81
class_of: 169
percentile: 0.4676
combos_in_class: 4
equivalent_ids: [Qc3c, Qd3d, Qs3s]
suited: true
paired: false
flush_suits: [hearts]
headline: { win: 48.76, tie: 4.25, equity: 50.89 }
engine: { name: poker-engine, version: 1.9.0 }
canonical_url: https://poketpoker.com/hands/Qh3h.md
paid_record: https://poketpoker.com/api/hands/Qh3h
price_usd: 0.01
license: CC-BY-4.0
---

# Qh3h — queen-three of hearts

**Fold from every position when the pot is unopened.** Qh3h ranks 81 of the 169 distinct starting hands
(top 46.8%). Against one random hand it wins
48.76% of showdowns and takes 50.89% of the pot.

## What this hand is

Queen-three of hearts. Before any board card is dealt its odds are identical to
Qc3c, Qd3d, Qs3s — suits are interchangeable pre-flop, so all
4 combinations in class Q3s 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 | 48.76 | 4.25 | 50.89 |
| 2 | 31.34 | 3.80 | 33.12 |
| 3 | 23.35 | 3.35 | 24.87 |
| 4 | 18.75 | 3.03 | 20.11 |
| 5 | 16.02 | 2.81 | 17.29 |
| 6 | 13.86 | 2.65 | 15.06 |
| 7 | 12.27 | 2.55 | 13.41 |

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 | 15.83 | 15.62 | 0.44 | 6 |
| KK | 15.84 | 15.62 | 0.45 | 6 |
| QQ | 11.45 | 10.50 | 1.90 | 3 |
| JJ | 30.96 | 30.74 | 0.44 | 6 |
| TT | 31.04 | 30.82 | 0.45 | 6 |
| 77 | 33.13 | 32.82 | 0.63 | 6 |
| 22 | 49.04 | 48.41 | 1.26 | 6 |
| AKs | 33.20 | 32.92 | 0.55 | 4 |
| AKo | 35.54 | 35.29 | 0.52 | 12 |
| AQs | 26.51 | 25.70 | 1.63 | 3 |
| JTs | 53.93 | 53.45 | 0.96 | 4 |
| 76s | 54.93 | 54.45 | 0.97 | 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/Qh3h      $0.01 USDC (x402)

## Related

- Suit-equivalents: [Qc3c](Qc3c.md) · [Qd3d](Qd3d.md) · [Qs3s](Qs3s.md)
- All 1,326 hands: [index](index.md)
- URL convention: `/hands/<HIGH><suit><LOW><suit>.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.
