Poker Odds Calculator
Calculate Texas Holdem poker odds, hand equity, outs, and pot odds for better decision making.
Select your hole cards first
Common Drawing Odds Reference
| Draw Type | Outs | Turn % | River % | Turn+River % |
|---|---|---|---|---|
| Flush Draw (4 to flush) | 9 | 19.1% | 19.6% | 35.0% |
| Open-Ended Straight Draw | 8 | 17.0% | 17.4% | 31.5% |
| Gutshot Straight Draw | 4 | 8.5% | 8.7% | 16.5% |
| Two Overcards | 6 | 12.8% | 13.0% | 24.1% |
| Set (pocket pair) | 2 | 4.3% | 4.3% | 8.4% |
| Flush + Open-Ended Straight | 15 | 31.9% | 32.6% | 54.1% |
| Flush + Gutshot | 12 | 25.5% | 26.1% | 45.0% |
Select Your Hole Cards
Click the + button above to select your two hole cards and start calculating your poker odds.
About This Calculator
Poker is a game of incomplete information, but mathematics can give you a significant edge. Our Poker Odds Calculator helps you make better decisions at the table by calculating your hand equity, counting outs, and comparing pot odds in real time.
Every professional poker player understands that long-term success comes from making mathematically sound decisions. While luck determines individual hands, math determines who wins over thousands of hands. Understanding concepts like outs, pot odds, and expected value transforms poker from pure gambling into a skill-based competition where informed players consistently profit.
This comprehensive poker odds calculator is designed for Texas Hold'em, the world's most popular poker variant. Simply select your hole cards and the community cards on the board, and the calculator instantly shows your current hand strength, the number of outs you have to improve, and your percentage chance of making your draw. The pot odds calculator compares your winning probability to the odds offered by the pot, telling you whether calling a bet is mathematically profitable.
Whether you're on a flush draw, waiting for a straight, or just want to know where you stand with a pair, this tool provides instant analysis. The interactive card picker makes it easy to input your exact situation, while the comprehensive reference tables help you memorize common drawing odds for quick mental calculations during live play. Master these fundamentals, and you'll find yourself making better decisions and winning more over the long run.
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How to Use the Poker Odds Calculator
- 1**Select your hole cards**: Click the + button in the 'Your Hole Cards' section and choose the two cards dealt to you. Cards you've already selected will appear grayed out.
- 2**Add community cards**: Once you have your hole cards, add the flop (3 cards), turn (4th card), or river (5th card) as they're dealt. The calculator updates automatically with each card.
- 3**Review hand analysis**: See your current hand strength, number of outs, and probability of improving. The calculator identifies flush draws, straight draws, and other common situations.
- 4**Enter pot odds information**: Input the current pot size and the bet you need to call to get a call/fold recommendation based on mathematical expected value.
- 5**Use custom outs**: If you've identified additional outs (like overcards or backdoor draws), enter your own out count to see adjusted probabilities.
- 6**Compare with reference table**: Use the common drawing odds table to verify calculations and memorize key numbers for live play.
- 7**Save or share results**: Click 'Save Calculation' to add to your history, or use the share button to copy a link with your exact hand situation.
Formula
P(hit) = outs / remaining cards; Pot Odds = bet / (pot + bet)The probability of hitting your draw equals your number of outs divided by unseen cards remaining. Pot odds equal the bet size divided by the total pot including your call. Compare these percentages: if P(hit) > Pot Odds, calling is profitable.
Understanding Poker Hand Rankings
Before calculating odds, you need to know what beats what. Here are the poker hand rankings from best to worst:
| Rank | Hand | Description | Example |
|---|---|---|---|
| 1 | Royal Flush | A, K, Q, J, 10 of same suit | A-K-Q-J-10 of hearts |
| 2 | Straight Flush | 5 consecutive same-suit cards | 9-8-7-6-5 of clubs |
| 3 | Four of a Kind | 4 cards of same rank | K-K-K-K-7 |
| 4 | Full House | 3 of a kind + pair | Q-Q-Q-8-8 |
| 5 | Flush | 5 cards of same suit | A-J-8-4-2 of spades |
| 6 | Straight | 5 consecutive cards | 9-8-7-6-5 mixed suits |
| 7 | Three of a Kind | 3 cards of same rank | 7-7-7-K-3 |
| 8 | Two Pair | 2 different pairs | J-J-5-5-K |
| 9 | One Pair | 2 cards of same rank | A-A-9-6-3 |
| 10 | High Card | Highest card wins | A-J-8-6-2 |
When hands tie (e.g., both have a pair), the higher-ranked cards win. Suits never break ties in standard Texas Hold'em.
What Are Outs and How to Count Them
Outs are unseen cards that will improve your hand to a likely winner. Counting outs is the foundation of poker math.
Common Out Counts:
- Flush Draw (4 to a flush): 9 outs (13 cards of your suit minus 4 you see)
- Open-Ended Straight Draw (OESD): 8 outs (4 cards on each end complete it)
- Gutshot Straight Draw: 4 outs (only one rank completes the straight)
- Two Overcards: 6 outs (3 of each overcard left in deck)
- Set with pocket pair: 2 outs (2 remaining cards of your rank)
- One overcard: 3 outs
Counting Outs Example: You hold 8-9 of hearts. The flop is 2h-7h-Kc.
- Flush draw: 9 outs (any heart)
- Open-ended straight draw: 8 outs (any 6 or any T)
- Overlap: The 6h and Th are counted in both, so subtract 2
- Total: 9 + 8 - 2 = 15 outs
Important: Don't count outs that might give your opponent a better hand. If the board has three hearts and you're drawing to a flush, your opponent might already have a higher flush.
Pot Odds Explained
Pot odds compare the size of the bet you must call to the total pot, helping you decide if a call is profitable.
The Formula: Pot Odds = Bet to Call / (Pot + Bet to Call) x 100
Example:
- Pot is $80
- Opponent bets $20
- Total pot is now $100
- You must call $20 to win $100
- Pot odds = $20 / $100 = 20%
The Decision Rule:
- If your winning probability > pot odds = PROFITABLE CALL
- If your winning probability < pot odds = UNPROFITABLE CALL (fold or bluff)
Example Decision:
- You have a flush draw: 35% chance to hit by the river
- Pot odds are 20%
- 35% > 20%, so CALL is mathematically profitable
Pot Odds as Ratios: You might hear '5:1 pot odds.' This means you need to win 1 out of 6 times (16.7%) to break even. Convert by dividing: 1/(5+1) = 16.7%.
Implied Odds: Beyond Basic Math
Implied odds account for additional money you expect to win on future streets when you hit your hand.
When to Consider Implied Odds:
- You have a hidden draw (like a small flush draw)
- Your opponent has shown they'll call big bets
- You're heads-up against a sticky player
- The pot is likely to grow significantly
Example: You have 6-7 suited on a board of 8-9-K rainbow.
- You have a gutshot (4 outs, about 8.5% on the turn)
- The pot is $50, and you must call $10
- Direct pot odds: 10/60 = 16.7%. Looks like a fold.
- BUT: If you hit, your opponent likely pays off another $40+
- Implied odds: 10/(60+40) = 10%. Now it's profitable!
When Implied Odds Don't Apply:
- Your draw is obvious (like a 4-card straight on board)
- You're against an aggressive player who bets big
- The pot is already huge (little room to extract more)
- Your opponent is short-stacked
Reverse Implied Odds: Sometimes hitting your draw loses you more money. If you make a low flush and your opponent has a higher flush, you'll lose a big pot. Account for these scenarios.
Common Drawing Odds Table
Memorize these key percentages for quick calculations at the table:
| Draw Type | Outs | Turn % | River % | Turn+River % | Rule of 4 |
|---|---|---|---|---|---|
| Flush draw | 9 | 19.1% | 19.6% | 35.0% | 36% |
| Open-ended straight | 8 | 17.0% | 17.4% | 31.5% | 32% |
| Gutshot straight | 4 | 8.5% | 8.7% | 16.5% | 16% |
| Two overcards | 6 | 12.8% | 13.0% | 24.1% | 24% |
| One overcard | 3 | 6.4% | 6.5% | 12.5% | 12% |
| Pocket pair to set | 2 | 4.3% | 4.3% | 8.4% | 8% |
| Flush + OESD | 15 | 31.9% | 32.6% | 54.1% | 60% |
| Flush + gutshot | 12 | 25.5% | 26.1% | 45.0% | 48% |
| Two pair to full house | 4 | 8.5% | 8.7% | 16.5% | 16% |
The Rule of 2 and 4:
- On the flop: Multiply outs by 4 for turn+river %
- On the turn: Multiply outs by 2 for river %
These approximations are accurate within 1-2% for most situations.
Pre-Flop Hand Equity
Understanding starting hand strength helps with pre-flop decisions:
Premium Hands (Top 5%):
| Hand | vs Random Hand | vs Top 20% |
|---|---|---|
| AA | 85% | 77% |
| KK | 82% | 71% |
| 80% | 66% | |
| AKs | 67% | 56% |
| JJ | 77% | 61% |
Common Matchups:
| Situation | Favorite | Equity |
|---|---|---|
| Overpair vs underpair | AA vs KK | 82% vs 18% |
| Pair vs overcards | QQ vs AK | 57% vs 43% |
| Two overcards vs two undercards | AK vs 76 | 63% vs 37% |
| Dominated hand | AK vs AQ | 74% vs 26% |
| Suited connectors vs high cards | 87s vs AK | 39% vs 61% |
Key Insights:
- No hand is ever more than ~85% to win pre-flop
- Suited cards add 2-3% equity over unsuited
- Connected cards (for straights) add 2-4% equity
- 'Dominated' hands (like KQ vs AK) are in bad shape (~26% equity)
Pro Tips
- 💡Memorize the rule of 2 and 4 for quick mental calculations. Multiply your outs by 4 on the flop or by 2 on the turn to estimate your winning percentage.
- 💡Always compare your hand equity to pot odds before calling. If your equity is higher than your pot odds, the call is mathematically profitable over time.
- 💡Don't count 'tainted' outs that might give your opponent a better hand. If three hearts are on board, your flush might lose to a higher flush.
- 💡Consider implied odds when you have a hidden draw. Small suited connectors can be very profitable when you hit and opponents can't see it coming.
- 💡Position matters more than people think. Being last to act lets you see what opponents do before making your decision, effectively increasing your implied odds.
- 💡Learn to recognize when pot odds don't tell the whole story. Against aggressive players, reverse implied odds (losing more when you hit but are beaten) are significant.
- 💡Use this calculator during hand history review, not during live play. The goal is to internalize the math so you can make quick decisions at the table.
- 💡A flush draw with a gutshot (12 outs) or open-ended straight draw (15 outs) is a monster draw. These hands often have more equity than made hands.
- 💡Suited cards only add about 2-3% equity. Don't overvalue being suited, but do recognize that backdoor flush draws add about 1-2 outs to your count.
- 💡Remember that equity is not the same as EV (expected value). A hand with 30% equity is profitable to call when getting 4:1 odds, but not when getting 2:1.
- 💡Pay attention to stack sizes. Implied odds decrease against short stacks since there's less money to win on future streets.
- 💡Practice counting outs quickly by doing it every hand, even when you're not in the pot. Speed and accuracy come with repetition.
Frequently Asked Questions
Pot odds compare the size of the current pot to the cost of a contemplated call. If the pot is $100 and you must call $20, your pot odds are 5:1 (or 16.7%). If your chance of winning is higher than 16.7%, calling is mathematically profitable in the long run. Pot odds help you decide whether to continue in a hand based on the expected value of your decision.