| 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.
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 Calculator is a Texas Hold'em, and Omaha Poker odds calculator.Odds will be generated by either a simulation (approximation) or full calculation. Post flop 'outs' are calculated for.
- The tools and tips you need to improve your poker game. We offer a hold'em poker odds calculator, an Omaha odds calculator, a free poker tracker, hand quizes, and poker tips.
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 $4 bet on the end, or better still, a two bet situation may emerge, .
Remembering all these situations and odds isn't as hard as it initially looks. You will constantly hear players refer to 'outs'. A flush draw is 9 outs. If you have an open ended straight draw, you have 8 outs. Most top players just count their outs, and know the probabilities of hitting these outs. Next weeks article will include the 'outs' table and further explanation.
Learning how to calculate the odds of winning a poker hand is essential for every player. In this article we'll provide you with some techniques that you can use to calculate the odds of winning a poker hand on the fly, we'll equip you with a tool that can do that for you and provide you with some useful information that you can memorize.
Poker Odds and Outs Calculations
Let's start with the basics. With the exception of the very strong holdings like some flushes, quads etc. almost every poker hand can improve. Outs are the cards that will improve your hand if they show up at a later street. For example, if you're holding AQ on a Q34 board you can still improve to two pair or trips if you hit on of the three Aces remaining in the deck or one of the two remaining Queens.
- Gutshot Straight Draw (examples: JT on Q93, 57 on 69A etc.) - 4 outs
- Open Ended Straight Draw (examples: 98 on T72, KQ on JT5) - 8 outs
- Flush Draw (examples: AhQh on 2c7h9h, 4d6d on JdKd8s) - 9 outs
Pot Odds
Pot Odds - the size of the pot in relation to the bet that you have to call to continue playing the hand. Pot Odds are usually represented in the form of a ratio (2:1, 3.2:1, 4:1 etc.). Pot odds are essentially the risk you have to take (call) to gain the reward (size of the pot).
Let's say that the size of the pot on the flop equals 2$. 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%).
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
55%
Odds of Improving Post-flop
Post Flop Poker Odds Calculator Free
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
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 Calculator is a Texas Hold'em, and Omaha Poker odds calculator.Odds will be generated by either a simulation (approximation) or full calculation. Post flop 'outs' are calculated for.
- The tools and tips you need to improve your poker game. We offer a hold'em poker odds calculator, an Omaha odds calculator, a free poker tracker, hand quizes, and poker tips.
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 $4 bet on the end, or better still, a two bet situation may emerge, .
Remembering all these situations and odds isn't as hard as it initially looks. You will constantly hear players refer to 'outs'. A flush draw is 9 outs. If you have an open ended straight draw, you have 8 outs. Most top players just count their outs, and know the probabilities of hitting these outs. Next weeks article will include the 'outs' table and further explanation.
Learning how to calculate the odds of winning a poker hand is essential for every player. In this article we'll provide you with some techniques that you can use to calculate the odds of winning a poker hand on the fly, we'll equip you with a tool that can do that for you and provide you with some useful information that you can memorize.
Poker Odds and Outs Calculations
Let's start with the basics. With the exception of the very strong holdings like some flushes, quads etc. almost every poker hand can improve. Outs are the cards that will improve your hand if they show up at a later street. For example, if you're holding AQ on a Q34 board you can still improve to two pair or trips if you hit on of the three Aces remaining in the deck or one of the two remaining Queens.
- Gutshot Straight Draw (examples: JT on Q93, 57 on 69A etc.) - 4 outs
- Open Ended Straight Draw (examples: 98 on T72, KQ on JT5) - 8 outs
- Flush Draw (examples: AhQh on 2c7h9h, 4d6d on JdKd8s) - 9 outs
Pot Odds
Pot Odds - the size of the pot in relation to the bet that you have to call to continue playing the hand. Pot Odds are usually represented in the form of a ratio (2:1, 3.2:1, 4:1 etc.). Pot odds are essentially the risk you have to take (call) to gain the reward (size of the pot).
Let's say that the size of the pot on the flop equals 2$. 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%).
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
Odds of Improving Post-flop
Post Flop Poker Odds Calculator Free
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
Post Flop Poker Odds Calculator Online
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:
Addressing Reference 1785 PLC-5 2 The memory map in Figure 1 shows the logical arrangement of the data table area of memory in a 1785 PLC-5 processor. This map does not represent the physical structure of the memory, but it provides the addressing scheme for the memory in the 1785 PLC-5 data table. Micro/SLC-500/PLC 5 Addressing Formats. The general format of value names for data from the listed controllers matches the naming convention used by the programming software. The format is shown below. The parts of the name shown in in square brackets are optional. Plc-5 2 slot addressing. 2 Maximum I/O possible using 16-pt modules with 2-slot addressing or 32-pt modules with 1-slot addressing. Modules must alternate input/output in the chassis slots. Hardware Components. The 1771 I/O platform was developed in the PLC-2/3 era, when 8-point discrete modules were the standard. A 'Group' was actually two slots, named '0' and '1'. In the modern era, this is called '2-Slot Addressing'. When you use 1-Slot addressing, a 'Group' is just one physical slot, even though there's both a logical 'Slot 0' and a logical 'Slot 1'. So for chassis 0, 2-slot addressing is selected, and you can insert a 16-channel input card and a 16-channel output card in the 2 free slots, and in the I/O image, the corresponding input and output words will be linked to the 2 cards. Edit: Damn, I missed that you meant rack 1, and not rack 0.
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
