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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

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.

Welcome to the free online texas hold 'em poker odds calculator. Get the odds behind the cards to give yourself the best chance possible in a hand Poker Odds Calculator. For What Are the Odds?. Work Out How Much You'd Normally Win From Your Actual Poker Odds:There are no guarantees but, in the long run, easy texas holdem odds using this kind of statistical tributo u2 casino cirsa information can give you a real edge over players that don't realize what they're missing out on.

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If the board is A-9-6-5 and you have 7-2, any 8 will give you a straight, but it's not the nut straight; someone with T-7 will have the nuts. Share More Poker Math While you don't have to be a mathematical genius to play poker (although it can certainly help), it is worth knowing some of the basic odds, probabilities Az Office Of Problem Gambling and percentages behind the various hands.UpdateStar 11 lets you stay up to date and secure with the software on your computer.

However, in most situations you do not know what your opponents hold, so you can only calculate odds with the knowledge that is available to you. Texas Holdem Poker online, free Tournament Decide Whether to Call The Bet In this example easy texas holdem odds poker tables san antonio by betting $10 your opponent has effectively given you odds of 10:1, when your actual chance of winning is 4:1.You can now repeat these steps to select suits for other hands, or go back to the 'Opening Cards' tab to edit your opening card selections. Torneo De Poker En Posadas Misiones

We also have the immediate odds (probabilities of events that follow immediately, calculated by using information of check memory slots esxi the easy texas holdem odds moment just before that event):28 December 2008 22 Poker Math: www.raffaelepicilli.it In this situation, you would normally have 8 total outs to hit your straight, but 2 of those outs will result in three to a suit on the table.

1. The Flop.
2. If you have more than one opponent, then you can continue to give out cards in turn as you go along.
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4. Your odds here are based on the assumption that your opponent does not have AJ or AT!Share the Love!
5. To make a straight, you need a [Q] or [7] to drop, giving you 4 outs each or a total of 8 outs.
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How you make it an incorrect play for your opponent(s) to draw out on your made hand. The immediate odds categories are: – preflop odds (odds of being dealt certain 2-card combinations as pocket cards before the flop) – flop odds (odds for certain cards or certain 2- or 3-card combinations to be contained in the flop, calculated after first card distribution and right before the flop) – turn odds (odds of a certain card being dealt as the turn card, calculated right after the flop) – river odds (odds of a certain card being dealt as the river card, calculated right after the turn).601-701 Best Mobile Poker Real Money Europort, Gibraltar.

He offers you 2:1 odds that the next coin flip will be heads. Rank.Sean Lind 2010-02-11 20:32:20 David, You're absolutely correct.

Dwan had about 16% chance of hitting his straight, and about 3% chance of winning by making a running two-pair or trips. Hard Rock Casino Biloxi Employment Odds of easy texas holdem odds being dealt A and less than J suited The probability of being dealt A and less poker club augsburg than J suited is 2.714%. Poker Teresina Wikipedia

You have 2 hearts.So it's easy texas holdem odds 1200:600, or 2:1. wizard of oz casino chittenango https://www.wildundfrei-katzenhilfe.de/texas-holdem-poker-live-download Three tens (giving you two pair), and two jacks (giving you trips).

55:1 Odds change as the community cards are dealt

1. 22 :
2. Overcards on a ragged board on the turn:
3. When the bets double, as in Hold'em, you count the big bets as two small bets.
4. Using a Poker odds Calculator.
5. You can find it in both the App Store and Google Play Store.
6. Sklansky must have seen the game’s appeal long before anyone else did.

1 This is the generic formula. 1 If you have J-T on a board of A-J-8-3, and you www.uffesotare.se strongly suspect that you're up against someone with a pair of aces, you have five outs to beat him:

While the math used to calculate odds might sound scary and over the head of a new player, it really isn't as hard as it looks. On average over the long run you will win as if you had 15 outs because you are that much more likely to have every card make you win than , or some where between.

The Flop The flop is a game changer in every sense of the words. Multiply by 2 instead to get a percentage estimate from the Turn.

Here’s a summation of what’s contained in The Theory of Poker: Even serious players would have a hard time identifying it.

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1. Two players are all in pre-flop, hands on their backs.
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3. Eg AK vs 99 or AJ vs 77.
4. I'm sure many of you have Oct 21, 2008 The probability of making a royal flush is 4/C(52,5) which is In hold em, the probability you hit a royal flush by the flop is the same as in Jan 30, 2012 - 31 sec - Uploaded by novakxwfmTexas Holdem Poker is a great game.
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• Considering a shuffle to completely randomize the order of the cards, the biggest factors that will affect a draw are the number of players at the table and your own position relevant to the dealer.
• A betting odds calculator – specifically the CardsChat poker odds calculator – is a preferred tool for thousands of players.
• 8.2 :
• Pot Odds Basics | PokerNews To know the odds of making your flush on the turn, simply multiply your outs by two and add two.

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3. 42%= 0.42=100/(100+x).
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A few others are more obscure titles, but still managed to gain peer respect, and even went on to fundamentally advance the science of poker thinking. He’s also a highly engaging speaker who is just as famous for his poker seminars, which have been going for nearly 30 years.

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