Poker Hand Calculator

Q: What does the badge above the results table mean?

It tells you how the answer was found. Exact enumeration means every possible run-out was checked, so the result is perfect. Monte Carlo means the tool sampled random run-outs, so the result is very close but not exact. The badge also shows how many run-outs were used and how long it took.

Updated Aug 18, 2026 By Jehan Wadia

Introduction

This Poker Hand Calculator shows your odds of winning a hand of Texas Hold'em. Pick your two hole cards, add your opponents' cards, and set the flop, turn, or river. The calculator then tells you how often you win, tie, or lose.

You can add up to 9 opponents. If you don't know an opponent's cards, leave the slots empty and the tool will treat that hand as random. When all hole cards are known and only one or two board cards are left, the calculator checks every possible run-out for an exact answer. In other cases it runs thousands of fast simulations to get a close estimate, much like our Probability Calculator does for general chance problems.

You also get more than just a win percentage. The tool names your best five-card hand, labels the matchup type (like a coin flip or a dominated hand), and shows the chance of making each hand type, such as a flush or a full house. The outs panel marks which remaining cards help you and which help your opponents. A step-by-step section shows the math behind the result, so you can see how each number was found. If you want a different view of the same spot, the Poker Odds Calculator and the Poker Equity Calculator cover the same hand from other angles.

How to use our Poker Hand Calculator

Pick your two hole cards, add your opponents' cards, and fill in any board cards you can see. The calculator shows your win, tie, and loss odds, your pot equity, your best hand right now, and which cards left in the deck help or hurt you.

Your Hand: Click one of the two card slots under "Your Hand," then click a card in the Card Picker below. Do this twice so both hole cards are set.

Opponent Cards: Click an opponent's card slot and pick their two cards the same way. Leave the slots empty if you do not know their hand, and the tool will treat it as a random hand.

Add Opponent: Click "Add Opponent" to put more players in the hand. You can run up to 9 opponents, for 10 players in total. Use the red X to remove one.

Flop: Click each of the three flop slots and pick the cards that came out. Leave them empty to see pre-flop odds.

Turn: The turn slot unlocks once all three flop cards are in. Click it and pick the fourth board card.

River: The river slot unlocks after the turn is set. Click it and pick the fifth and last board card.

Card Picker: Cards you already used show a line through them. Click a used card to send it back to the deck and free up that slot.

Calculate: Results update on their own as you pick cards, but you can click "Calculate" any time to run the numbers again.

Reset / Clear All: Click this to wipe every card and start a new hand from scratch.

Poker Odds and Hand Equity Explained

In Texas Hold'em poker, each player gets two hidden cards, called hole cards. Five shared cards, called community cards, go face up in the middle of the table. The community cards come out in three steps: the flop (3 cards), the turn (1 card), and the river (1 card). Every player makes their best five-card hand using any mix of their two cards and the five shared cards. The best hand wins the pot. For a street-by-street read on the same game, try the Texas Holdem Odds Calculator.

Poker Hand Rankings (Best to Worst)

Royal Flush – A, K, Q, J, 10, all the same suit.
Straight Flush – Five cards in a row, all the same suit.
Four of a Kind – Four cards of the same rank.
Full House – Three of a kind plus a pair.
Flush – Five cards of the same suit.
Straight – Five cards in a row, mixed suits.
Three of a Kind – Three cards of the same rank.
Two Pair – Two different pairs.
One Pair – Two cards of the same rank.
High Card – No pair; the highest card plays.

What Equity Means

Equity is your share of the pot based on how often you win. If you win 60% of the time, you have 60% equity. Ties count too. When two players split a pot, each one gets half a win, so ties add a partial share to your equity. Equity helps you decide if a call is worth it: if your equity is higher than the price you pay, calling makes money over time. This is the same long-run thinking behind our EV Calculator, and bankroll-minded players often pair it with a Kelly Criterion Calculator to size their bets.

What Outs Are

An out is a card still in the deck that turns your losing hand into a winning one. If you have four cards to a flush after the flop, there are nine cards of that suit left, so you have nine outs. A quick trick called the Rule of 4 and 2 helps: multiply your outs by 4 with two cards to come, or by 2 with one card to come. That gives a close guess at your chance to hit. If you want to work out draw odds for other card games, the Hypergeometric Calculator and the Card Draw Calculator handle any deck size.

Common Poker Matchups

Coin flip – A pocket pair against two higher cards. Close to 55/45 before the flop.
Pair over pair – Bigger pocket pair against a smaller one. About 80/20.
Dominated hand – Both hands share a card, but one has a better kicker. The weaker side wins about 25% of the time.
Live cards – No shared ranks and no clear leader. Equities stay close.

How the Odds Are Found

There are two ways to get poker odds. Exact enumeration checks every single card that could still come and counts the results, using the same counting rules you would apply in a Combination Calculator. This gives a perfect answer, but it only works when few cards are left to deal. Monte Carlo simulation deals thousands of random run-outs and counts how often each player wins. It is not perfect, but with enough hands the numbers land very close to the truth. Both methods are far faster and more reliable than guessing at the table.

If you enjoy running the numbers on other games of chance, the Blackjack Calculator, the Dice Probability Calculator, and the MTG Probability Calculator apply the same ideas to different tables. Sports bettors can convert prices and strip out the house margin with the Odds Calculator and the No Vig Calculator.

Formulas used

Unknown cards remaining in the deck

U = 52 - (\text{known hole cards} + \text{known board cards})

Exact enumeration: number of possible run-outs

N = \binom{U}{m}, \quad m = 5 - \text{known board cards}

Monte Carlo sample size (when exact enumeration is not used)

N = \min\left(50000,\ \max\left(10000,\ \left\lceil \frac{150000}{P} \right\rceil \right)\right)

Win probability for a player

P(\text{win}) = \frac{W}{N} \times 100\%

Tie (split pot) probability for a player

P(\text{tie}) = \frac{T}{N} \times 100\%

Loss probability

P(\text{lose}) = 100\% - P(\text{win}) - P(\text{tie})

Pot equity (each tie pays 1 divided by the number of winners)

E = \frac{W + \sum_{j \in \text{ties}} \frac{1}{k_j}}{N} \times 100\%

Card impact on your equity (outs panel, in percentage points)

\Delta_c = \frac{\sum_{\text{run-outs containing } c} E_{\text{hero}}}{n_c} - E_{\text{overall}}

Frequently asked questions

Why do my results change a little each time I click Calculate?

When many cards are unknown, the tool deals thousands of random hands instead of checking every one. That is called Monte Carlo simulation. Small changes of a few tenths of a percent are normal. Once all hole cards are known and only one or two board cards are left, the tool switches to exact math and the numbers stop moving.

What does the badge above the results table mean?

It tells you how the answer was found. Exact enumeration means every possible run-out was checked, so the result is perfect. Monte Carlo means the tool sampled random run-outs, so the result is very close but not exact. The badge also shows how many run-outs were used and how long it took.

Why can't I click the turn or river slot?

The board must be filled in order, just like a real hand. The turn slot unlocks after all three flop cards are set. The river slot unlocks after the turn is set. This stops impossible boards, like a river with no flop.

What is the difference between win percent and equity?

Win percent counts only the times you win the whole pot. Equity adds your share of split pots too. If you tie with one player, that counts as half a win. So equity is usually a bit higher than win percent whenever ties are possible.

Can I set just one hole card for a player?

Yes. If you fill one slot and leave the other empty, the tool deals the missing card at random every run-out. The table will show your known card plus the words "+ random." This is handy when you only saw part of an opponent's hand.

What do the green boxes in the Current Best Hand column mean?

Green boxes mark the five cards that make your best hand right now. Faded cards are the ones left out. This shows you fast whether your hole cards are playing or whether the board is doing all the work.

How do I read the outs panel?

Each small box is a card still in the deck. A green box with an up arrow means that card helps you. A red box with a down arrow means it helps an opponent more. A grey box with a dash means it barely matters. Hover over a box to see how many percentage points it moves your equity.

What does "percentage points" mean in the outs panel?

It is the change in your equity when that card lands. If your equity is 40% and a card is marked +12 points, your equity becomes about 52% when that card comes. It is a change in the number, not a percent of a percent.

Why does my equity drop when I add more opponents?

More players means more hands that can beat you. Even random hands win sometimes. With one opponent you only need to beat one hand. With five you must beat all five, so your share of the pot gets smaller.

Does the calculator know about betting, position, or bluffing?

No. It only works out card math, which is your chance to end up with the best five cards. It does not know bet sizes, stack sizes, or how a player acts. Use the equity number as one input and add your own read on the table.

Can I use this for Omaha or seven-card stud?

No. This calculator is built for Texas Hold'em, where each player has two hole cards and five shared cards. Omaha gives players four hole cards, so the odds are different and this tool would not be correct for it.

Why is the tie percent so high when both hands have the same ranks?

Why does the Hand Matchup box say "pre-flop" numbers when I already put in a flop?

The matchup label names the type of fight the two starting hands are in, like a coin flip or a dominated hand. The odds quoted there are the usual pre-flop ranges for that type. Your real odds with the current board are in the results table.

What does the Hand-Type Probability Breakdown show?

It shows how often each player ends up with each kind of hand after all five board cards are out. For example, it may say you make a flush 34% of the time and two pair 18% of the time. It tells you what your hand is likely to become, not who wins.

How do I fix a card I picked by mistake?

You have two ways. Click the card slot on the board or in a hand to empty it, or click the struck-through card in the Card Picker to send it back to the deck. Clearing a flop card also clears the turn and river, since those streets come later.

Is the same card ever used twice?

No. Every card in the deck can only sit in one place. Used cards show a line through them in the Card Picker, so you cannot deal the same card to two players or to the board.

How many simulations does the tool run?

When it cannot check every run-out, it runs between 10,000 and 50,000 random hands, based on how many players are in the pot. That is enough for results that are accurate to within a fraction of a percent, and it finishes in a moment.

Can I use this calculator while playing real money poker online?

Most poker sites ban tools that help you during a live hand. Use this calculator away from the table to study spots, review hands, and learn common matchups. Always check the rules of the site or room you play in.

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