# Poker Odds Calculator (Texas Hold’em Equity and Outs)

URL: https://speedycalculator.com/calculators/other/poker-odds/
Last updated: 2026-10-30

> The poker odds calculator gives your chance of winning, tying and losing a Texas Hold'em hand against 1–9 opponents from your hole cards and the board, your equity, the probability of each final hand, and your outs with exact hit chances and the rule of 2 and 4.

## Inputs

- Your first card
- Your second card
- Number of opponents
- Flop card 1
- Flop card 2
- Flop card 3
- Turn
- River
- Opponent 1 – first card (optional)
- Opponent 1 – second card (optional)

## Results

- Your equity
- Win
- Tie (split pot)
- Lose
- Fair share with this many players
- Your hand now
- How this was calculated
- Outs
- Out cards
- Exact chance to hit on the next card
- Rule of 2 (next card)
- Exact chance to hit by the river (turn or river)
- Rule of 4 (two cards)
- Your final hand at showdown
- Final hand probabilities

## Formula

```
Equity = P(win) + Σ P(tie with k others) ÷ (k + 1) · P(hit by next card) = outs ÷ unseen · P(hit by river from the flop) = 1 − C(unseen − outs, 2) ÷ C(unseen, 2) · rule of 2 and 4 ≈ outs × 2 (one card) or × 4 (two cards)
```

## Explanation

Texas Hold'em is a game of incomplete information: you see your two hole cards and the community cards, but not your opponents' cards or the cards still to come. Your equity is the share of the pot you would win on average if the hand were played to the end many times. It is the number every decision rests on – compare it with the pot odds and you know whether a call pays.

This calculator works out equity honestly. When the number of possible deals is small enough to check every one in a fraction of a second – for example on the turn or river against one opponent, or against a known hand after the flop – it evaluates all of them and the result is exact. When there are too many (preflop, or several unknown opponents), it deals tens of thousands of random hands and reports the simulated result with its margin of error; the same inputs always use the same sample, so the numbers do not jump around.

On the flop and turn it also counts your outs – the cards that improve you – lists them, and gives the exact probability of hitting next to the quick rule of 2 and 4 that players use at the table.

### How to use the Poker Odds Calculator

- **Your first card**
- **Your second card**
- **Number of opponents**
- **Flop card 1**
- **Flop card 2**
- **Flop card 3**
- **Turn**
- **River**
- **Opponent 1 – first card (optional)**
- **Opponent 1 – second card (optional)**

Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.

### How it works

Each deal is scored with a full seven-card hand evaluator (straight flushes down to high card, with kickers). Win, tie and lose frequencies are counted over all deals (exact mode) or a seeded random sample (simulation mode, with the 95% margin shown). Outs are counted card by card: against a known hand an out is a card that puts you ahead; against unknown hands it is a card that raises your hand category by more than it raises the board's own category (so a card that merely pairs the board does not count).

### Worked example

You hold A♠ K♠ and the flop is Q♠ 8♠ 3♦ against one random opponent. You have a nut flush draw plus two overcards: 15 outs (nine spades, three aces and three kings). Exactly, 15 of the 47 unseen cards hit on the turn (31.9%) and 1 − (32 × 31) ÷ (47 × 46) = 54.1% hit by the river; the rule of 2 and 4 gives 30% and 60%. The simulation (the flop has over a million turn, river and opponent combinations) puts your equity at about 72.1% (71.8% wins, 0.7% split pots) with a margin of about ±0.4 percentage points.

### Hand rankings and how often they appear

HandExampleChance in 7 cardsStraight flush9♥ 8♥ 7♥ 6♥ 5♥0.031%Four of a kindQ♣ Q♦ Q♥ Q♠ 3♦0.168%Full houseJ J J 4 42.60%FlushA♦ J♦ 9♦ 6♦ 2♦3.03%Straight10 9 8 7 64.62%Three of a kind7 7 7 K 24.83%Two pairA A 9 9 523.5%One pairK K 8 6 343.8%High cardA J 8 5 217.4%

## Worked example

Inputs — Your first card: A♠; Your second card: K♠; Number of opponents: 1; Flop card 1: Q♠; Flop card 2: 8♠; Flop card 3: 3♦; Turn: Not dealt yet; River: Not dealt yet; Opponent 1 – first card (optional): Unknown (random hand); Opponent 1 – second card (optional): Unknown (random hand).

Results — **Your equity = 72.15 %**; Win = 71.81 %; Tie (split pot) = 0.68 %; Lose = 27.51 %; Fair share with this many players = 50 %; Your hand now = High card, Ace.

## Key terms

- **Equity**: Your average share of the pot at showdown, counting ties as partial wins.
- **Outs**: Unseen cards that improve your hand, usually enough to win.
- **Hole cards**: The two private cards dealt to each player.
- **Monte Carlo simulation**: Estimating a probability by dealing many random hands and counting results.

## FAQ

**What are the odds of pocket aces winning?**
Against one random hand about 85%, against two about 73%, and against eight opponents only about 35% – our simulation gives 34.4%.

**What is the rule of 2 and 4?**
Multiply your outs by 2 for the chance of hitting on the next card, or by 4 on the flop for the chance of hitting by the river. With 9 flush outs: about 18% and 36%; exactly 19.1% and 35.0%.

**Is this calculator exact?**
When every possible deal can be checked quickly – the turn or river against one opponent, or the flop against a known hand – yes, and it says so. Otherwise it simulates up to 60,000 deals and shows the margin of error (usually ±0.3 percentage points or less).

**How many outs does a flush draw have?**
Nine: 13 cards of the suit minus the 4 you can see. An open-ended straight draw has eight, a gutshot four.

**Why do my outs not match a chart?**
Charts count "clean" outs by hand type. Here outs are counted card by card, including overcards that make a pair; against unknown hands this is a guide, not a guarantee that the improved hand wins.

**What does a tie mean?**
A split pot: two or more players have exactly the same best five cards. Ties count as a fraction of a win in your equity.

**Does it consider folds or betting?**
No – equity assumes every hand goes to showdown. Use it with the pot odds and poker EV calculators to decide whether to call.


## Sources

- [Wikipedia – Poker probability (hand frequencies)](https://en.wikipedia.org/wiki/Poker_probability)
- [Wikipedia – Texas hold 'em](https://en.wikipedia.org/wiki/Texas_hold_%27em)
- [Wikipedia – Pot odds](https://en.wikipedia.org/wiki/Pot_odds)