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• Poker Pot Odds Formula
• Easy Way To Calculate Pot Odds Poker 2017
• Pot Odds Poker
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• How To Calculate Pot Odds Poker

Pot odds tips. You already have a shortcut to working out the odds of completing a draw (just remember the essential ones), and after that the rest of the work is pretty simple. Try not to let the whole idea of working stuff out at the table make the game any less fun, because it isn't difficult when you know how.

In our poker math and probability lesson it was stated that when it comes to poker; “the math is essential“. Although you don’t need to be a math genius to play poker, a solid understanding of probability will serve you well and knowing the odds is what it’s all about in poker. It has also been said that in poker, there are good bets and bad bets. The game just determines who can tell the difference. That statement relates to the importance of knowing and understanding the math of the game.

In this lesson, we’re going to focus on drawing odds in poker and how to calculate your chances of hitting a winning hand. We’ll start with some basic math before showing you how to correctly calculate your odds. Don’t worry about any complex math – we will show you how to crunch the numbers, but we’ll also provide some simple and easy shortcuts that you can commit to memory.

Basic Math – Odds and Percentages

Odds can be expressed both “for” and “against”. Let’s use a poker example to illustrate. The odds against hitting a flush when you hold four suited cards with one card to come is expressed as approximately 4-to-1. This is a ratio, not a fraction. It doesn’t mean “a quarter”. To figure the odds for this event simply add 4 and 1 together, which makes 5. So in this example you would expect to hit your flush 1 out of every 5 times. In percentage terms this would be expressed as 20% (100 / 5).

Here are some examples:

• 2-to-1 against = 1 out of every 3 times = 33.3%
• 3-to-1 against = 1 out of every 4 times = 25%
• 4-to-1 against = 1 out of every 5 times= 20%
• 5-to-1 against = 1 out of every 6 times = 16.6%

Converting odds into a percentage:

• 3-to-1 odds: 3 + 1 = 4. Then 100 / 4 = 25%
• 4-to-1 odds: 4 + 1 = 5. Then 100 / 5 = 20%

Converting a percentage into odds:

• 25%: 100 / 25 = 4. Then 4 – 1 = 3, giving 3-to-1 odds.
• 20%: 100 / 20 = 5. Then 5 – 1 = 4, giving 4-to-1 odds.

Another method of converting percentage into odds is to divide the percentage chance when you don’t hit by the percentage when you do hit. For example, with a 20% chance of hitting (such as in a flush draw) we would do the following; 80% / 20% = 4, thus 4-to-1. Here are some other examples:

• 25% chance = 75 / 25 = 3 (thus, 3-to-1 odds).
• 30% chance = 70 / 30 = 2.33 (thus, 2.33-to-1 odds).

Some people are more comfortable working with percentages rather than odds, and vice versa. What’s most important is that you fully understand how odds work, because now we’re going to apply this knowledge of odds to the game of poker.

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Counting Your Outs

Before you can begin to calculate your poker odds you need to know your “outs”. An out is a card which will make your hand. For example, if you are on a flush draw with four hearts in your hand, then there will be nine hearts (outs) remaining in the deck to give you a flush. Remember there are thirteen cards in a suit, so this is easily worked out; 13 – 4 = 9.

Another example would be if you hold a hand like and hit two pair on the flop of . You might already have the best hand, but there’s room for improvement and you have four ways of making a full house. Any of the following cards will help improve your hand to a full house; .

The following table provides a short list of some common outs for post-flop play. I recommend you commit these outs to memory:

Table #1 – Outs to Improve Your Hand

The next table provides a list of even more types of draws and give examples, including the specific outs needed to make your hand. Take a moment to study these examples:

Table #2 – Examples of Drawing Hands (click to enlarge)

Counting outs is a fairly straightforward process. You simply count the number of unknown cards that will improve your hand, right? Wait… there are one or two things you need to consider:

Don’t Count Outs Twice

There are 15 outs when you have both a straight and flush draw. You might be wondering why it’s 15 outs and not 17 outs, since there are 8 outs to make a straight and 9 outs for a flush (and 8 + 9 = 17). The reason is simple… in our example from table #2 the and the will make a flush and also complete a straight. These outs cannot be counted twice, so our total outs for this type of draw is 15 and not 17.

Anti-Outs and Blockers

There are outs that will improve your hand but won’t help you win. For example, suppose you hold on a flop of . You’re drawing to a straight and any two or any seven will help you make it. However, the flop also contains two hearts, so if you hit the or the you will have a straight, but could be losing to a flush. So from 8 possible outs you really only have 6 good outs.

It’s generally better to err on the side of caution when assessing your possible outs. Don’t fall into the trap of assuming that all your outs will help you. Some won’t, and they should be discounted from the equation. There are good outs, no-so good outs, and anti-outs. Keep this in mind.

Calculating Your Poker Odds

Once you know how many outs you’ve got (remember to only include “good outs”), it’s time to calculate your odds. There are many ways to figure the actual odds of hitting these outs, and we’ll explain three methods. This first one does not require math, just use the handy chart below:

Table #3 – Poker Odds Chart

As you can see in the above table, if you’re holding a flush draw after the flop (9 outs) you have a 19.1% chance of hitting it on the turn or expressed in odds, you’re 4.22-to-1 against. The odds are slightly better from the turn to the river, and much better when you have both cards still to come. Indeed, with both the turn and river you have a 35% chance of making your flush, or 1.86-to-1.

We have created a printable version of the poker drawing odds chart which will load as a PDF document (in a new window). You’ll need to have Adobe Acrobat on your computer to be able to view the PDF, but this is installed on most computers by default. We recommend you print the chart and use it as a source of reference. It should come in very handy.

Doing the Math – Crunching Numbers

There are a couple of ways to do the math. One is complete and totally accurate and the other, a short cut which is close enough.

Let’s again use a flush draw as an example. The odds against hitting your flush from the flop to the river is 1.86-to-1. How do we get to this number? Let’s take a look…

With 9 hearts remaining there would be 36 combinations of getting 2 hearts and making your flush with 5 hearts. This is calculated as follows:

(9 x 8 / 2 x 1) = (72 / 2) ≈ 36.

This is the probability of 2 running hearts when you only need 1 but this has to be figured. Of the 47 unknown remaining cards, 38 of them can combine with any of the 9 remaining hearts:

9 x 38 ≈ 342.

Now we know there are 342 combinations of any non heart/heart combination. So we then add the two combinations that can make you your flush:

36 + 342 ≈ 380.

The total number of turn and river combos is 1081 which is calculated as follows:

(47 x 46 / 2 x 1) = (2162 / 2) ≈ 1081.

Now you take the 380 possible ways to make it and divide by the 1081 total possible outcomes:

380 / 1081 = 35.18518%

This number can be rounded to .352 or just .35 in decimal terms. You divide .35 into its reciprocal of .65:

0.65 / 0.35 = 1.8571428

And voila, this is how we reach 1.86. If that made you dizzy, here is the short hand method because you do not need to know it to 7 decimal points.

The Rule of Four and Two

A much easier way of calculating poker odds is the 4 and 2 method, which states you multiply your outs by 4 when you have both the turn and river to come – and with one card to go (i.e. turn to river) you would multiply your outs by 2 instead of 4.

Imagine a player goes all-in and by calling you’re guaranteed to see both the turn and river cards. If you have nine outs then it’s just a case of 9 x 4 = 36. It doesn’t match the exact odds given in the chart, but it’s accurate enough.

What about with just one card to come? Well, it’s even easier. Using our flush example, nine outs would equal 18% (9 x 2). For a straight draw, simply count the outs and multiply by two, so that’s 16% (8 x 2) – which is almost 17%. Again, it’s close enough and easy to do – you really don’t have to be a math genius.

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Conclusion

Poker Pot Odds Formula

In this lesson we’ve covered a lot of ground. We haven’t mentioned the topic of pot odds yet – which is when we calculate whether or not it’s correct to call a bet based on the odds. This lesson was step one of the process, and in our pot odds lesson we’ll give some examples of how the knowledge of poker odds is applied to making crucial decisions at the poker table.

As for calculating your odds…. have faith in the tables, they are accurate and the math is correct. Memorize some of the common draws, such as knowing that a flush draw is 4-to-1 against or 20%. The reason this is easier is that it requires less work when calculating the pot odds, which we’ll get to in the next lesson.

By Tom 'TIME' Leonard

Tom has been writing about poker since 1994 and has played across the USA for over 40 years, playing every game in almost every card room in Atlantic City, California and Las Vegas.

Figuring pot odds (the pot is all the money that has been bet

Easy Way To Calculate Pot Odds Poker 2017

for a single game) is one of the most misunderstood and misused concepts for beginning poker players. In this section, simple and straightforward computations are used. And for all examples, unless otherwise noted, Texas Hold'em is the poker game being played. For a comprehensive look on how to play Texas Hold'em, click here.
Learning how to calculate pot odds puts the concept of risk and reward into a numerical computation. For those of you who aren't confident in your math skills, don't worry. It is not complicated, and with a little practice you will be able to figure your pot odds in no time. The following examples will illustrate pot odds. We will use a minimum bet of $1 and a maximum bet of $2 Hold'em for simplicity.
You are betting last of the six players in the pot for $1 each to see the flop. This makes the pot $6. You hold A-Q, and the flop comes K-Q-6.

©2006 Publications International, Ltd. A pair of queens with a possible ace-high flush.

The first player bets $1, two players call, and two players fold to bring the total in the pot to $9. It is now your turn to act. You must decide whether to fold, call, or raise. At this time you should assume that at least one of your opponents holds a king and that your hand must improve in order to win.
Now you must decide how many unseen cards can help you win. These cards are called your 'outs,' and this terminology will be used from here on. (One question that is often asked is: 'The other players have cards in their hands that cannot come to me on the turn or the river, so how can I count them in the cards that will improve my hand?' The answer is: You must count all cards that can help you because you have no way of knowing what cards are in your opponents' hands, even if it is quite likely that they hold certain cards. Therefore, all unseen cards need to be counted.)
Because you have a pair of queens, you must assume that if either of the other two queens hit, it will improve your hand to make you the winner. There are also three remaining aces that will improve you to two pair. This makes five outs. In addition, if any club hits, it will give you an ace high flush. So you have nine other outs (the remaining clubs). This gives you 14 outs. Now you have seen five cards (your hole cards and the three on the

Pot Odds Poker

flop) out of a 52 card deck. This leaves 47 unseen cards before the turn. This means that 14 out of 47 cards can come on the turn and improve your hand, and 33 will not help you at all. This makes the odds roughly 2.4 to 1.
The easiest way to figure this is to see how many times your 14 outs will divide into the 33 cards that will not help you. You don't have to figure this out exactly to know if it is correct to call or not.
Because 2 times 14 is 28, which is a little less than 33, and 3 times 14 equals 42, you know the number is closer to two than three, or your odds of winning are closer to 2 to 1 than 3 to 1. This means that for it to be correct for you to call, there must be at least 2.4 times the amount you must call in the pot. In other words, the amount you must risk, in this case $1, must have a reward of at least $2.40 when you hit your hand. In the example above, there is $9 in the pot, and you have to call only $1 to see the turn. Since the pot is offering you 9 to 1 odds, the correct play is to call or raise, which we will discuss shortly.
Pot odds boil down to percentages. The pot must be large enough to pay enough extra on the times you do hit your hand to make up for the losses when you don't. The key is to get your money into the pot when you have the best hand. If you use pot odds correctly, you will be well on your way to becoming a lifelong winner.
Continuing the above example, you call the bet on the flop, increasing the pot to $10. The turn card is

Easy Way To Calculate Pot Odds Poker Table

8, which does not improve your hand. You still have the same number of outs, 14, but one less unseen card, 46. Notice that your pot odds are almost the same, roughly 2.3 to 1. The first player bets $2, making the pot $12, and the other two players fold. The bet you must now call is $2 into a $12 dollar pot. This reduces down to 6 to 1 odds (12 divided by 2 equals 6, and 2 divided by 2 equals 1). Once again the correct play is to call. Notice that at this time, if you don't improve on the river, you can fold, and if you do improve, you can bet or raise.
The above example is fairly simple, but what has been said is not everything you must consider.
Actually, after the flop you can improve on either the turn or the river cards. This means that you have 14 outs two times, which if you consider both the turn and the river, your pot odds are actually .95 to 1. Any time your pot odds are less than 1 to 1, you are a favorite to win. In this case the correct play is often a raise instead of a call.
Some players use the combined odds for both the turn and river while others use them separately. If you use the turn odds on the turn, reevaluate the situation after the turn card is revealed, and use the pot odds on the river separately. The problem when using the combined odds is that you almost have to call on the turn to see the river even if you don't improve. This can lead to a dangerous mindset, and you can become a calling station. First, consider each situation by itself, and then, add in other factors.
In the next section we will discuss more about pot odds, including implied odds and raising to give yourself correct pot odds.

For more information on poker odds and winning at poker, try the following links:

Easy Way To Calculate Pot Odds Poker Calculator

How To Calculate Pot Odds Poker

• 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.