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.

A poker odds calculator shows you the exact odds of your hand winning in any scenario. For example, you can give yourself pocket Aces, opponent 1 pocket Kings, and opponent 2 pocket Queens. The poker odds software will then calculate how often each hand wins. Post-flop odds Let's say that we want to know the odds of a player holding the J♢ and the Q♢ against a player with the J and the J♤ on a 7♢9♢T♤ board, with 2 cards to come: nodemodules/.bin/poker-odds-calculator -b 7d9dTs JhJs JdQd nodemodules/.bin/poker-odds-calculator -board 7d9dTs7s JhJs JdQd -b denotes the board. PokerListings.com’s Poker Odds Calculator is the fastest, most accurate and easy-to-use poker odds calculator online. It’s just like what you see when you watch poker on TV. Use it in real-time to know exactly what your chances of winning and losing are at any point in a poker hand – be it on online poker sites or playing live poker. Real Money Poker Games » Texas Holdem Poker » after Flop Outs Percentages and Odds Holdem after Flop Outs, Percentages and Odds Chart For those unfamiliar with outs, an 'out' is the term used in the after-flop betting rounds to describe any card among the unseen cards in the deck that can substantially improve the value of your hand on the. Working with the odds and probability calculator. Let's take our example from above. Jh-Th on a flop 2h-3h-7s. To help us with our calculations, we will use the calculator for the pot odds and the probability of improvement at the top of the page. We are still heads-up and our opponent bets $2 in a $9 pot.

Poker Odds and Outs Calculations

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.

Here are some common examples of drawing hands in no-limit hold 'em and the number of outs that they can hit to improve:

• 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.

Here's an easy way to do that:

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%).

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%.

Hand vs. Hand All-in Pre-flop

Post Flop Poker Odds Calculator Online

	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%
Pocket Pair vs. High Card and Low Card	JJ vs. A9	2.3 : 1	70%
Two High Cards vs. Two Low Cards	AJ vs. 78	1.9 : 1	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
Gutshot Straight Draw	JT on Q83	4	16.5%/5.1 : 1	8.7%/10.5 : 1
Two High Cards	AK on 962	6	24%/3.1 : 1	13%/6.7 : 1
Open-Ended Straight Draw	89 on A76	8	31.5%/2.2 : 1	17.4%/4.7 : 1
Flush Draw	AhQh on Jh5h8c	9	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:

Post Flop Poker Odds Calculator Free

• 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
  

Or why not try out some poker mathematics related coaching videos?

• Odds & Outs
  
• Bitesize Poker Concept - Implied Odds
  

Post Flop Poker Odds Calculator Yahoo

Post Flop Probabilities Part 1

The last couple of articles concerned pre-flop probabilities. These are most relevant to NLH tournament play. This is because most chip movement occurs pre-flop in NLH tourneys, whereas, with Limit Hold 'em and Pot Limit Omaha, most of the action takes place post flop. The next couple of articles discuss post flop odds and probabilities. These are equally interesting to the NLH player, but they will have less opportunity and situations to take advantage of this knowledge.

Possibly the most useful probabilities are those surrounding a flush draw. If you hold two cards of the same suit, you will flop a made flush slightly less than 1% of the time. If you are all-in before the flop, the chances of completing your flush with all five cards are somewhere around 6%. More useful though is the situation when you flop four to your flush: two hearts in your hand with two hearts on the flop, or one heart in your hand with three on the flop.

Many NLH players will commit their whole stack heads up in this situation, but the odds say that really you shouldn't. You will only complete the flush around 35% of the time. So if a player has moved all-in, in front of you, for a large bet of greater than pot size, the correct play is probably to pass. You are not getting good pot odds. You will often see players making bad calls in this situation. It is of course different if you move all-in first to speak. You may only win the pot a third of the time if someone calls, but of course you may win the pot 50% of the time, uncontested, if everyone should pass.

In Limit Hold 'em of course, you will rarely win the pot uncontested, but the Pot Odds will be different. In many ways Limit Hold 'em is much more complicated here. In a $2/$4 game, four players may have seen the flop. The player in front of you bets $2 on the flop, and you can easily justify the pot odds as you are now calling $2 against a $10 pot. However, there are variables to consider: how much more you may have to call to see the final two cards, and how much more can you win if you hit the flush. Firstly, a player may raise behind you and the original bettor may re-raise. Now you are risking $6 against $20. The odds aren't as good but are still favourable. But of course, the flush may not arrive on the turn, and you may have to call another $4. Now the risk is $10 against $28, or possibly $10 against$24 if play becomes heads up. You are in fact still getting pot odds, but only just. The second variable is of course when you hit the flush, how much will you get paid? If the player will call a $4 bet on the end, or better still, a two bet situation may emerge, .

Post Flop Poker Odds Calculator Chart

Remembering all these situations and odds isn't as hard as it initially looks. You will constantly hear players refer to 'outs'. A flush draw is 9 outs. If you have an open ended straight draw, you have 8 outs. Most top players just count their outs, and know the probabilities of hitting these outs. Next weeks article will include the 'outs' table and further explanation.