// equity calculator · 3-way · turn
Top pair vs flush draw vs gutshot, on the turn
All in on the turn on Jc8c3d2s: AsJd owns 66.7%, 7c6c owns 21.4%, and QhTs owns 11.9% of the pot. Exact: the engine dealt all 42 possible run-outs.
One card to come. Top pair is ahead of a flush draw and a gutshot with an overcard, and the river table lists every card that hands the pot to someone else.
Board
J♣8♣3♦2♠| Hand | Equity | Wins | Splits | Equity bar |
|---|---|---|---|---|
| A♠J♦ | 66.67% | 66.67% | 0.00% | |
| 7♣6♣ | 21.43% | 21.43% | 0.00% | |
| Q♥T♠ | 11.90% | 11.90% | 0.00% |
The working
- Cards out of the deck. 3 hands × 2 + 4 on the board = 10, which leaves 42 unseen.
- Run-outs. 1 board card to come from 42: C(42, 1) = 42 boards. The engine dealt every one of them and scored every hand on each, so nothing below is sampled.
- Equity. A board a hand wins outright is worth 1 pot; a split is worth 1 ÷ the number of hands sharing it. For A♠J♦: (28 wins + 0 from 0 splits) ÷ 42 = 66.667%.
- Check. Every board's pot goes somewhere, so the equities add to 100.000%. No board is split, so win percentages and equities are the same thing here.
Card by card: the river
Each of the 42 possible rivers, and who it gives the pot to.
A♠J♦wins on 28 rivers
A♥A♦K♠K♥K♦J♠J♥T♥T♦8♠8♥8♦7♠7♥7♦6♠6♥6♦5♠5♥5♦4♠4♥4♦3♠3♥2♥2♦
7♣6♣wins on 9 rivers
A♣K♣Q♣T♣9♣5♣4♣3♣2♣
Q♥T♠wins on 5 rivers
Q♠Q♦9♠9♥9♦
Every river, with each hand's equity after it
| River | AsJd | 7c6c | QhTs |
|---|---|---|---|
| A♥ | 100.0% | 0.0% | 0.0% |
| A♦ | 100.0% | 0.0% | 0.0% |
| A♣ | 0.0% | 100.0% | 0.0% |
| K♠ | 100.0% | 0.0% | 0.0% |
| K♥ | 100.0% | 0.0% | 0.0% |
| K♦ | 100.0% | 0.0% | 0.0% |
| K♣ | 0.0% | 100.0% | 0.0% |
| Q♠ | 0.0% | 0.0% | 100.0% |
| Q♦ | 0.0% | 0.0% | 100.0% |
| Q♣ | 0.0% | 100.0% | 0.0% |
| J♠ | 100.0% | 0.0% | 0.0% |
| J♥ | 100.0% | 0.0% | 0.0% |
| T♥ | 100.0% | 0.0% | 0.0% |
| T♦ | 100.0% | 0.0% | 0.0% |
| T♣ | 0.0% | 100.0% | 0.0% |
| 9♠ | 0.0% | 0.0% | 100.0% |
| 9♥ | 0.0% | 0.0% | 100.0% |
| 9♦ | 0.0% | 0.0% | 100.0% |
| 9♣ | 0.0% | 100.0% | 0.0% |
| 8♠ | 100.0% | 0.0% | 0.0% |
| 8♥ | 100.0% | 0.0% | 0.0% |
| 8♦ | 100.0% | 0.0% | 0.0% |
| 7♠ | 100.0% | 0.0% | 0.0% |
| 7♥ | 100.0% | 0.0% | 0.0% |
| 7♦ | 100.0% | 0.0% | 0.0% |
| 6♠ | 100.0% | 0.0% | 0.0% |
| 6♥ | 100.0% | 0.0% | 0.0% |
| 6♦ | 100.0% | 0.0% | 0.0% |
| 5♠ | 100.0% | 0.0% | 0.0% |
| 5♥ | 100.0% | 0.0% | 0.0% |
| 5♦ | 100.0% | 0.0% | 0.0% |
| 5♣ | 0.0% | 100.0% | 0.0% |
| 4♠ | 100.0% | 0.0% | 0.0% |
| 4♥ | 100.0% | 0.0% | 0.0% |
| 4♦ | 100.0% | 0.0% | 0.0% |
| 4♣ | 0.0% | 100.0% | 0.0% |
| 3♠ | 100.0% | 0.0% | 0.0% |
| 3♥ | 100.0% | 0.0% | 0.0% |
| 3♣ | 0.0% | 100.0% | 0.0% |
| 2♥ | 100.0% | 0.0% | 0.0% |
| 2♦ | 100.0% | 0.0% | 0.0% |
| 2♣ | 0.0% | 100.0% | 0.0% |
What each hand wins with
Share of all 42 boards that each hand wins outright, by the made hand it shows down. Splits are left out, so each column adds to that hand's win rate, not its equity.
| Made hand | AsJd | 7c6c | QhTs |
|---|---|---|---|
| Flush | · | 21.43% | · |
| Straight | · | · | 7.14% |
| Three of a kind | 4.76% | · | · |
| Two pair | 21.43% | · | · |
| Pair | 40.48% | · | 4.76% |
// settle the thread
The link carries every card. Anyone who opens it gets the same counts, dealt again in their own browser.
Suits, a dead card, a different board: any change moves these numbers. Open the deal in the calculator and change anything; it is dealt again in your browser.
Change the cards →// what is computed, and what is assumed
- Computed: every possible run-out, dealt from the cards nobody holds, and every hand scored on each by the same engine that runs the trainer. Splits are shared equally among the hands in them. No sampling, so no error bars.
- Assumed: everyone sees the showdown. Equity is each hand's share of the pot if nobody folds and no more money goes in. That is exact when everyone is all-in; with chips behind it is a starting point, not a verdict, because folds, bets and implied odds are not in it.
- Specific hands only. Multi-way equity against ranges multiplies the work by the number of combos per player, so it is not here. For one hand against a range, with the bet priced in big blinds, use the spot check.
- Input: cards as rank then suit, spaces optional: Ah Kd, Tc 9c, or AhKd. Dead cards are any cards you know are gone, such as a folded hand.
More multi-way spots
| Spot | Street | Favourite | Equity | Boards dealt |
|---|---|---|---|---|
| AA vs KK vs QQ | preflop | A♥A♦ | 66.9% | 1,370,754 |
| AA vs KK vs QQ vs JJ | preflop | A♥A♦ | 54.6% | 1,086,008 |
| AKo vs QQ vs JJ | preflop | Q♥Q♣ | 46.5% | 1,370,754 |
| AA vs KK vs AK | preflop | A♥A♦ | 84.9% | 1,370,754 |
| AKo vs AQo vs KQo | preflop | A♠K♦ | 72.0% | 1,370,754 |
| JTs vs AA vs KK | preflop | A♠A♦ | 64.3% | 1,370,754 |
| 22 vs AKo vs KQs | preflop | 2♠2♣ | 40.3% | 1,370,754 |
| Set vs flush draw vs straight draw | flop | 2♣2♦ | 56.8% | 903 |
| Overpair vs top two pair vs flush draw | flop | K♦Q♦ | 51.9% | 903 |
| KK vs top pair vs flush draw | flop | A♥Q♣ | 55.7% | 903 |
| Six hands all in preflop | preflop | A♥A♦ | 41.7% | 658,008 |