Contents
What are your chances of winning with A-K, 7-2 or a pair of jacks? This page gives you hard numbers for Texas hold'em: the equity of every starting hand, a calculator you can use during the game, outs and pot odds.
1. Odds calculator
Tap your two cards, then the board cards once they are dealt (3 for the flop, 4 for the turn, 5 for the river). The other players receive random hands.
Pot odds
Enter the pot (including the bet you face) and the amount to call. If you have calculated your equity above, it is compared with the equity you need.
Equity needed: -
2. Starting hand equity
Equity of each starting hand before the flop, against random hands (ties are shared). Pairs are on the diagonal, suited hands (s) above it and offsuit hands (o) below it. Tap a cell for the details.
Colour: red = weakest, green = strongest for the selected number of players. A light frame marks hands above the fair share (100% divided by the number of players). T = 10.
3. Probability of each hand
Chance that your best five-card hand is of each type once you hold seven cards (two hole cards plus five board cards). Exact figures computed over all 133,784,560 possible seven-card hands.
| Hand | Probability | Roughly |
|---|---|---|
| Royal flush | 0.0032% | 1 in 30,940 |
| Straight flush | 0.028% | 1 in 3,591 |
| Four of a kind | 0.168% | 1 in 595 |
| Full house | 2.60% | 1 in 38.5 |
| Flush | 3.03% | 1 in 33.1 |
| Straight | 4.62% | 1 in 21.6 |
| Three of a kind | 4.83% | 1 in 20.7 |
| Two pair | 23.50% | 1 in 4.3 |
| Pair | 43.82% | 1 in 2.3 |
| High card | 17.41% | 1 in 5.7 |
The straight flush row excludes the royal flush.
Starting hands and the flop
| Starting hands and the flop | Probability | Roughly |
|---|---|---|
| Any pocket pair | 5.88% | 1 in 17.0 |
| Two suited cards | 23.53% | 1 in 4.2 |
| A-K (suited or not) | 1.21% | 1 in 82.9 |
| Pocket aces (A-A) | 0.45% | 1 in 221 |
| Flopping three of a kind or better with a pocket pair | 11.76% | 1 in 8.5 |
| Flopping a flush draw with two suited cards | 10.94% | 1 in 9.1 |
4. Outs and the rule of 4 and 2
An out is a card that improves your hand enough to make it likely to win. The table gives the exact chance of hitting at least one out, with 47 unknown cards on the flop and 46 on the turn.
| Draw | Outs | Flop to river | Turn to river |
|---|---|---|---|
| Pocket pair to three of a kind | 2 | 8.4% | 4.3% |
| Gutshot straight draw | 4 | 16.5% | 8.7% |
| Two pair to full house | 4 | 16.5% | 8.7% |
| Two overcards (against one pair) | 6 | 24.1% | 13.0% |
| Set to full house or four of a kind | 7 | 27.8% | 15.2% |
| Open-ended straight draw | 8 | 31.5% | 17.4% |
| Flush draw | 9 | 35.0% | 19.6% |
| Flush draw + gutshot | 12 | 45.0% | 26.1% |
| Flush draw + open-ended straight draw | 15 | 54.1% | 32.6% |
5. Pot odds and required equity
To call a bet, your equity must exceed the share of the final pot that you put in. Equity needed = amount to call / (pot + amount to call), where the pot already includes the bet you face.
Example: the pot is 100 and your opponent bets 50. The pot becomes 150 and you must call 50: you risk 50 to win 150, which is odds of 3 to 1, and you need 50 / (150 + 50) = 25% equity.
| Bet faced | Pot odds | Equity needed |
|---|---|---|
| 1/4 pot | 5 : 1 | 16.7% |
| 1/3 pot | 4 : 1 | 20.0% |
| 1/2 pot | 3 : 1 | 25.0% |
| 2/3 pot | 2.5 : 1 | 28.6% |
| 3/4 pot | 2.3 : 1 | 30.0% |
| Pot-size bet | 2 : 1 | 33.3% |
| Twice the pot | 1.5 : 1 | 40.0% |
The bet is expressed as a share of the pot before that bet. Pot odds are (pot + bet) : bet.
With a flush draw on the flop (about 35% to hit by the river), a half-pot bet only requires 25%. These figures ignore the bets still to come.
6. How to read these numbers
- Starting hands: 1.5 million simulations per cell, opponents holding random hands, margin of error below 0.1 point.
- Hand probabilities: exact count over all 133,784,560 seven-card hands.
- Outs: exact formulas, assuming every out gives you the best hand.
- Calculator: Monte Carlo simulation in your browser, so the result changes slightly from one run to the next; the margin shown is a 95% interval.
- These figures assume opponents with random hands. A player who bets or raises usually holds a stronger hand than average, so your real chances are often lower. Use them as benchmarks, not certainties.
Going further
To organise your tournament, see the Blind Up Guide and the Create a structure. The hand rankings are explained in the Rules.