Calling is profitable: +18.3 chips on average
How to use the calculator
- Pick the game: Hold’em, Omaha with 4, 5 or 6 cards, Omaha Hi-Lo or Big O. For bomb pots and double-board hands switch on “Two boards”.
- Set the hands. Tap a card spot and pick the card from the deck. If an opponent’s cards are unknown, leave the spots empty and the calculator deals a random hand.
- Open the board. Add the flop, turn and river if they are out. Empty spots are cards still to come.
- Read the result. Each player’s equity, how often they win the whole pot and how often they share it. Below: which hands player 1 makes, outs for the next card and the pot-odds check for a call.
What equity is
Equity is your share of the pot on average. With 46% equity in a 200-chip pot, playing the spot many times wins you 92 chips per hand on average. In one hand you get the whole pot, nothing, or half on a split, but poker decisions are made on equity.
Equity counts ties: in a split each player gets half. That is why AK against QQ has 46.2% equity, while it wins the whole pot in 46.0% of hands and shares it in another 0.4%.
Exact counts and Monte Carlo
When every hand is known and there are not too many boards left, the calculator goes through every possible board and the result is exact. Heads-up Hold’em preflop, for example, is 1,712,304 boards. With a random opponent or the larger Omaha trees it plays random deals (Monte Carlo) and shows how many deals were played and the margin of error.
Odds of common preflop matchups
| Matchup | Equity |
|---|---|
| AA vs KK | 81.3% / 18.7% |
| KK vs AK | 70.0% / 30.0% |
| AA vs 76 | 77.0% / 23.0% |
| AK vs AQ | 74.0% / 26.0% |
| AK vs J10 | 58.8% / 41.2% |
| AK vs QQ | 46.2% / 53.8% |
| AK vs 22 | 47.0% / 53.0% |
| J10 vs 22 | 54.0% / 46.0% |
Every number is an exact count over all boards. Note the last row: a small pair is behind suited connectors, because J10 has many ways to make a straight or a flush.
An Omaha calculator
In Omaha equities run much closer than in Hold’em: even the best starting hand is rarely more than a 65/35 favourite. The calculator applies Omaha’s key rule — exactly two hole cards and three board cards — for 4, 5 and 6-card hands.
| PLO4 matchup | Equity |
|---|---|
| AAKK vs J1098 | 61.5% / 38.5% |
| AAKK vs AA76 | 52.7% / 47.3% |
| AAJ10 vs a random hand | 70.6% / 29.4% |
The Omaha numbers come from 3 million Monte Carlo deals, with a margin under 0.1%. Rules and strategy are on the PLO4, PLO5 and PLO6 pages.
Hi-Lo and two boards
- Omaha Hi-Lo and Big O. The pot is split between the best high and the best qualifying low (eight or better). With no low, the high hand takes it all. The calculator counts both halves. More in the Omaha Hi-Lo rules.
- Two boards. Each board plays for half the pot. The calculator shows how often a player scoops both halves and how often they share. This is how equity works in double-board bomb pots.
Outs and pot odds
With a flop or turn out and every hand known, the calculator lists the exact cards that put player 1 ahead, or the dangerous ones if they already lead. How to count outs in your head is covered separately.
In “Pot odds”, enter the pot including the opponent’s bet and the amount to call. The calculator compares the equity you need with player 1’s equity and shows how many chips the call wins or loses on average.