Learning how to calculate the odds of winning a poker hand is essential for every player. In this article we'll provide you with some techniques that you can use to calculate the odds of winning a poker hand on the fly, we'll equip you with a tool that can do that for you and provide you with some useful information that you can memorize.
Poker Odds and Outs Calculations
The world's most trusted Texas hold'em poker odds calculator. Improve your poker or find out just how bad that bad beat was.
Let's start with the basics. With the exception of the very strong holdings like some flushes, quads etc. almost every poker hand can improve. Outs are the cards that will improve your hand if they show up at a later street. For example, if you're holding AQ on a Q34 board you can still improve to two pair or trips if you hit on of the three Aces remaining in the deck or one of the two remaining Queens.
- Gutshot Straight Draw (examples: JT on Q93, 57 on 69A etc.) - 4 outs
- Open Ended Straight Draw (examples: 98 on T72, KQ on JT5) - 8 outs
- Flush Draw (examples: AhQh on 2c7h9h, 4d6d on JdKd8s) - 9 outs
Pot Odds
Pot Odds - the size of the pot in relation to the bet that you have to call to continue playing the hand. Pot Odds are usually represented in the form of a ratio (2:1, 3.2:1, 4:1 etc.). Pot odds are essentially the risk you have to take (call) to gain the reward (size of the pot).
Let's say that the size of the pot on the flop equals 2$. Our opponent is betting 1$. To continue playing we have to call 1$ and if we do we can win 2$ + 1$ = 3$. We're getting 3 to 1 pot odds. Now let's make it a bit more complex, pot size is 3,55$, opponent bets 2,33$. We have to call 2,33$ to win 3,55$ + 2,33$ (5,88$). Our pot odds are 5,88$ / 2,33$ = roughly 2.5 : 1.
Let's say our opponent is betting 2$ into 6$ pot so our pot odds equal 4:1. To convert the ratio into % add both sides of the ratio (4 + 1) and use that number as a divisor for the right part of the ratio (1 / 5 = 20%).
Como Calcular Pot Odds No Poker
In the example above you need to win 20% of the time to break even when your opponent is giving your 4:1 pot odds. How often do you need to win to make the call in other popular situations? Here are some examples for you to memorize:
- 1:1 = 50%
- 2:1 = 33%
- 3:1 = 25%
- 4:1 = 20%
Rule of 2 and 4
Now that you know what pot odds and odds are you can learn the quick way of calculating the percentage chance of your hand improving. It's called the rule of 2 and 4 and it's very simple:
With one more card to come (on the flop waiting for the turn or on the turn waiting for the river) multiply your outs by 2 to calculate the % chance of your hand improving. With two more cards to come (opponent all-in on the flop or any other situation when you have to call just one bet to see both turn and river) multiply your outs by 4 to calculate the % chance of your hand improving.
Example: You're holding T8 on a J24 board, you have 9 outs to hit your flush. Villain goes all in on the flop. Your % chance of improving to a flush equals 4 * 9 = 36%. Let's consider the same situation but this time flop went check/check, the turn is an Ace of clubs and your opponent is betting. Your % chance of improving in that situation would be 2 * 9 = 18%.
Como Calcular Odds Y Outs En Poker
Hand vs. Hand All-in Pre-flop
Example | Odds | %Odds/Equity | |
Pocket Pair vs. Smaller Pocket Pair | AA vs. TT | 4 : 1 | 80% |
Pocket Pair vs. Two High Cards | 88 vs. AQ | 1.2 : 1 | 55% |
Pocket Pair vs. Two Low Cards | QQ vs. 67 | 4.9 : 1 | 83% |
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Two High Cards vs. Two Low Cards | AJ vs. 78 | 1.9 : 1 Duty Roulette: Level 50/60/70. Duty Roulette: Level 50/60/70 will put the player into a random level 50, level 60, or level 70 light party dungeon. As of patch 4.0, access to this Duty Roulette requires unlocking a minimum of 2 of the included dungeons. Players must also have an average item level of 90 or greater. R/ffxiv: A community for fans of Square Enix's popular MMORPG 'Final Fantasy XIV Online', also known as FFXIV or FF14. Expansions include. List of dungeons needed to unlock for High Level Duty Roulette. Discussion Patch 3.0. Dungeons needed to unlock High Level Duty Roulette: The Wanderer's Palace, Amdapor Keep, Pharos Sirius, Copperbell Mines (Hard), Haukke Manor (Hard), Brayflox's Longstop (Hard), Halatali (Hard), The Lost City of Amdapor, Hullbreaker Isle, The Tam-Tara. Ffxiv duty roulette lvl 50 dungeons requirements. Duty roulette is an activity that can be undertaken daily for rewards of Allagan Tomestones, Gil, and Grand Company Seals.Upon reaching the necessary level, a player may select a particular Duty Roulette section and be matched into an appropriate instance. | 65% |
High Card and Low Card vs. Unpaired Hand | AT vs. KQ | 1.2 : 1 | 55% |
Odds of Improving Post-flop
Example | Outs | Flop%/Odds | Turn%/Odds | |
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Two High Cards | AK on 962 | 6 | 24%/3.1 : 1 | 13%/6.7 : 1 |
Open-Ended Straight Draw | 89 on A76 | How to stop gambling slot machines. 8 | 31.5%/2.2 : 1 | 17.4%/4.7 : 1 |
Flush Draw | AhQh on Jh5h8c | 35%/1.9 : 1 | 19.6%/4.1 : 1 | |
Flush Draw + High Card | As2s on 8sQs4d | 12 | 45%/1.2 : 1 | 26.1%/2.8 : 1 |
Open-Ended Straight Flush Draw | Td9d on Jd8dKh | 15 | 54.1%/0.85 : 1 | 32.6%/2.1 : 1 |
Poker Odds Calculator
So far you've learned about outs, odds, calculating the chance of improving your hand on the fly, and figuring out if it's profitable to make a call based on the pot size and bet size of your opponent. That's enough to get you started, but it probably doesn't answer every question you might have.
Maybe you want to figure out what's the equity of your set vs. two opponents holding a flush draw and straight draw? Maybe you want to know if your hand has any chance of winning in a 5-way family pot. Fortunately, we got you covered! You can answer those and many other questions using the Odds Calculator provided below:
Here's a quick guide on how to use the odds calculator:
- In the top right, you can choose your preferred game (you can even calculate the equity of winning a hand in games like Omaha Hi/Lo or Razz).
- Choose the number of players in the pot.
- Click on player's hole cards and assign them using the list provided at the bottom of the calculator.
- You can add cards to the board in the same way.
- Click 'Get Odds' et voila!
Now you can calculate the odds of winning any poker hand. With such a powerful tool at your disposal, you'll improve as a poker player in no-time!
Other Top Recommended Content
If you enjoyed reading this article, check out our other top recommended articles on poker mathematics!- Poker Maths - Combinations
- Odds & Outs
- Odds & Outs
- Bitesize Poker Concept - Implied Odds
Every winning poker player understands the odds of winning in most situations. Though it may sound difficult at first, after reading this article, you will know your odds in any given situation in no time. Remember that all poker games are games of percentages and probability. Many players play under the incorrect assumption that poker is a game of luck.
Poker must be viewed as one long lifetime game instead of many short sessions. The reason for this is over the course of thousands of hands, the best hand will win the correct amount of time. Poker, however, is full of short-term variance (often called luck), which can be extremely frustrating. Despite losing when the odds are overwhelmingly in your favor, the goal of winning poker is still to put yourself in this type of situation as many times as possible because when you do, you will win most of the time.
In this article you will learn the basic percentages you will use time and time again in your poker playing. We will begin in the next section with a basic discussion of pot odds and how to use them to become a winning player.
For more information on poker odds and winning at poker, try the following links:
- To see all of our articles on poker rules and advice, go to our main article on How To Play Poker.
- For an introduction to the game, skim over these Poker Basics.
- So you think you've got the best hand. Maximize your winnings with these Poker Betting Tips.
- Have you calculated that your hand is a loser, but you think you can fake out the opposition? Be sure you know How to Bluff in Poker.