Probabilities are one of the most important and fascinating aspects of the game. Many poker situations occur frequently, making it essential to memorize key poker probabilities.
These probabilities are calculated using basic probability theory, which many people are familiar with from school and college.
While you can calculate probabilities on your own, it is usually unnecessary, as specialized software and probability calculators have already done the work.
Understanding and memorizing these probabilities, or at least most of them, is crucial for success in poker.
What Are Probabilities in Poker?
In poker, probability measures how often a specific event will occur, expressed as a percentage between 0 and 100%. Understanding these probabilities allows you to evaluate and analyze the profitability of various decisions in a given situation.
This article contains tables with poker probabilities to help you make better decisions during the game.
- Note for Beginners: If you are new to poker, start by learning the rules of Texas Hold'em and poker hand rankings.
| Hand Combination | Example | Probability |
|---|---|---|
| Pocket Aces
|
AA | 0.45% |
| Any Pocket Pair | 22-AA | 0.9% |
| Suited Ace-King | AKs | 0.3% |
| Offsuit Ace-King | AKo | 0.9% |
| Any Ace-King | AK | 1.2% |
| Any Suited Cards | XXs | 24% |
| Aces, Kings, or Ace-King | KK-AA, AK | 2.1% |
Probabilities in Typical Preflop All-Ins
The table below shows your chances of winning in preflop all-in situations with different hands.
| Preflop Scenario | Example | Win Probability |
|---|---|---|
| Pocket Pair vs Two Overcards | 55 vs AK | 54% |
| Pocket Pair vs Lower Pocket Pair | TT vs 88 | 81% |
| Pair vs One Overcard | KK vs AQ | 71% |
| Two Lower Cards vs Two Overcards | JT vs AK | 37% |
| Two Cards vs One Overcard | JT vs A9 | 45% |
| Two Overcards (one matching) | AK vs AQ | 74% |
| First and Third Card vs Second and Fourth | AQ vs KJ | 63% |
Probability of Making a Hand with a Pocket Pair
The table below shows the probabilities of improving a pocket pair on the preflop to a specific hand on the post-flop.
| Hand | Hand and Board Example | Probability |
|---|---|---|
| Set on the Flop | 10.8% | |
| Full House on the Flop | 0.7% | |
| Four of a Kind on the Flop | 0.2% | |
| Set or Better by the River | 19% |
Probability of Making a Hand with Suited Cards on the Flop
The table below shows the probabilities of improving suited starting cards from the preflop to specific hands on the post-flop.
| Hand | Hand and Board Example | Probability |
|---|---|---|
| Flush on the Flop | 0.84% | |
| Flush Draw on the Flop | 10.94% | |
| Backdoor Flush Draw on the Flop | 41.6% | |
| Made Straight on the Flop | 1.31% | |
| OESD or Better on the Flop | 10.45% | |
| Two Pair or Better on the Flop | 3.47% | |
| Flush by the River | 6.4% |
Probability of Making a Hand with Offsuit Cards on the Flop
The table below shows the probabilities of improving offsuit starting cards from the preflop to specific hands on the post-flop.
| Hand | Hand and Board Example | Probability |
|---|---|---|
| Flush Draw on the Flop | 1.1% | |
| Backdoor Flush Draw on the Flop | 12.8% | |
| OESD on the Flop | 9.71% | |
| Flush by the River | 1.8% |
Probabilities to Hit a Hand on the Flop
The table below shows the probabilities (equity) of different types of starting hands hitting specific hands or draws on the flop.
| Starting Hand | Example | Straight | Flush | Two Pair+ | OESD | FD | Total Equity |
|---|---|---|---|---|---|---|---|
| Suited Connector (SC) | 1.31% | 0.84% | 3.49% | 9.71% | 10.13% | 25.5% | |
| SC with 1 Gap | 0.96% | 0.84% | 3.49% | 7.58% | 10.13% | 23% | |
| SC with 2 Gaps | 0.64% | 0.84% | 3.49% | 4.59% | 10.13% | 19.69% | |
| SC with 3 Gaps | 0.32% | 0.84% | 3.49% | 1.93% | 10.13% | 16.71% | |
| Offsuit Connector (OC) | 1.31% | - | 3.49% | 9.71% | - | 14.51% | |
| OС with 1 Gap | 0.98% | - | 3.49% | 7.67% | - | 12.14% | |
| OС with 2 Gap | 0.65% | - | 3.49% | 4.98% | - | 9.12% | |
| OС with 3 Gap | 0.33% | - | 3.49% | 2.61% | - | 6.43% | |
| Random Suited Hand | - | 0.84% | 3.49% | - | 10.13% | 14.46% | |
| Random Offsuit Hand | - | - | 3.49% | - | - | 3.49% | |
| Pocket Pair | - | - | 11.75% | - | - | 11.75% |
Probability of Making a Hand with Two Unpaired Cards on the Flop
The table below shows the probabilities of improving two unpaired starting cards from the preflop to specific hands on the flop.
| Hand | Hand and Board Example | Probability |
|---|---|---|
| Pair or Better | 32.5% | |
| Pair | 29% | |
| Two Pair (with both cards) | 2% | |
| Any Two Pair | 4% | |
| Trips | 1.35% | |
| Full House (with both cards) | 0.09% | |
| Four of a Kind | 0.01% |
Probability of Different Flop Textures
This table shows the probabilities of flops having specific textures.
| Flop Texture | Flop Example | Probability |
|---|---|---|
| Three of a Kind (Trips) | 0.24% | |
| Paired | 17% | |
| Three Cards of the Same Suit | 5.2% | |
| Two Cards of the Same Suit | 55% | |
| Rainbow (All Different Suits) | 40% | |
| Three Consecutive Ranks | 3.5% | |
| Two Consecutive Ranks | 40% | |
| No Consecutive Ranks | 56% |
Probability of No Overcards on the Flop
When holding a pocket pair preflop, it is useful to know the likelihood of no overcards appearing on the flop, turn, or river, as overcards can weaken the strength of our hand.
The table below shows these probabilities.
| Flop | Turn | River | |
|---|---|---|---|
| 77.45% | 70.86% | 64.7% | |
| 58.57% | 48.6% | 40.15% | |
| 43.04% | 32.05% | 23.69% | |
| 30.53% | 20.14% | 13.13% | |
| 20.71% | 11.9% | 6.73% | |
| 13.27% | 6.49% | 3.1% | |
| 7.86% | 3.18% | 1.24% | |
| 4.16% | 1.33% | 0.4% | |
| 1.86% | 0.43% | 0.09% | |
| 0.61% | 0.09% | 0.01% | |
| 0.1% | 0.01% | <0.01% |
Probability of Improving a Hand from the Flop to the Turn
The table below shows the probabilities of improving specific hands from the flop to the turn.
| Hand Improvement | Hand and Board Example | Probability |
|---|---|---|
| Set to Full House+ | 15% | |
| Two Pair to Full House | 8.5% | |
| Flush Draw to Flush | 19% | |
| OESD to Straight | 17% | |
| Gutshot to Straight | 8.5% | |
| Pair to Trips | 4.3% | |
| Pair to One of Two Overcards | 12.8% |
Probability of Improving a Hand from the Flop to the River
This table shows the chances of improving a hand from the flop to the river. The probabilities for the turn and river can be combined to understand your odds better in post-flop situations.
| Hand Improvement | Hand and Board Example | Probability |
|---|---|---|
| Set to Full House+ | 33% | |
| Two Pair to Full House+ | 17% | |
| Flush Draw to Flush | 35% | |
| Backdoor Flush Draw to Flush | 4.2% | |
| OESD to Straight | 32% | |
| Gutshot to Straight | 17% | |
| Pair to One of Two Overcards | 24% |
Probability of Facing a Dominating Ace Preflop
The table below shows the chances of encountering a dominating Ace when you hold an Ace in your hand. The percentages represent the likelihood that your opponent(s) will have a better Ace (a higher kicker).
These calculations apply to preflop situations.
| Your Hand | 1 Opponent | 2 Opponents | 3 Opponents | 4 Opponents | 5 Opponents |
|---|---|---|---|---|---|
| AQ | 1.22% | 2.43% | 3.63% | 4.81% | 5.97% |
| AJ | 2.20% | 4.36% | 6.47% | 8.53% | 10.55% |
| AT | 3.18% | 6.27% | 9.25% | 12.14% | 14.94% |
| A9 | 4.16% | 8.15% | 11.98% | 15.64% | 19.15% |
| A8 | 5.14% | 10.02% | 14.65% | 19.04% | 23.20% |
| A7 | 6.12% | 11.87% | 17.27% | 22.33% | 27.09% |
| A6 | 7.10% | 13.70% | 19.83% | 25.52% | 30.81% |
| A5 | 8.08% | 15.51% | 22.34% | 28.62% | 34.38% |
| A4 | 9.06% | 17.30% | 24.79% | 31.61% | 37.81% |
| A3 | 10.04% | 19.07% | 27.20% | 34.51% | 41.08% |
| A2 | 11.02% | 20.83% | 9.55% | 37.31% | 44.22% |
Probability of Facing a Higher Pocket Pair Preflop
Here is the table showing the probability of facing a higher pocket pair than yours preflop, based on the number of opponents.
| Your Hand | 1 Opponent | 2 Opponents | 3 Opponents | 4 Opponents | 5 Opponents |
|---|---|---|---|---|---|
| KK | 0.49% | 0.97% | 1.47% | 1.96% | 2.44% |
| 0.98% | 1.95% | 2.92% | 3.90% | 4.84% | |
| JJ | 1.47% | 2.92% | 4.37% | 5.77% | 7.18% |
| TT | 1.96% | 3.89% | 5.78% | 7.64% | 9.46% |
| 99 | 2.45% | 4.84% | 7.19% | 9.46% | 11.68% |
| 88 | 2.94% | 5.80% | 8.57% | 11.25% | 13.85% |
| 77 | 3.43% | 6.74% | 9.95% | 13.01% | 15.95% |
| 66 | 3.92% | 7.68% | 11.30% | 14.74% | 18.00% |
| 55 | 4.41% | 8.62% | 12.63% | 16.42% | 19.95% |
| 44 | 4.91% | 9.57% | 13.95% | 18.05% | 21.86% |
| 33 | 5.38% | 10.49% | 15.27% | 19.66% | 23.71% |
| 22 | 5.88% | 11.42% | 16.53% | 21.24% | 25.45% |