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In addition, there are four cards exposed from the flop and turn, leaving 46 cards. Although your opponent is holding two others we ignore those.
Our calculations in Internet Texas Hold'em poker are only based on the cards you can see and what could be left in the deck. With nine outs and 46 cards unknown, there are nine cards that will let you win the hand and 37 cards 46 unseen cards - 9 winning cards that will cause you to lose.
Thus the odds of you getting one of the cards you need on the river are 37 to 9. This simplifies down to just about 4: In other words, you are four times more likely to lose this pot than you are to win it.
To help you get to grips with the idea of poker outs, we've provided the outs and odds on some common scenarios you're likely to see at the table.
So we have odds of around 4: To decide whether or not we should call our opponent's bet depends on how much money is in the pot.
No, we don't mean that if there's a whole bunch of cash you should just go for it. What you should be looking for is the ratio of money you could win compared to the size of your opponent's bet.
OK, we'll continue our example. This is like a bookmaker giving you So should you call that bet? Yes and you should do it faster than an eye can blink because the odds are offering you the chance to enjoy a great pay day.
Even if you make that call, you might still lose. Remember, your calculated odds were 4: That's why it is important you are being offered at least the chance to win four times as much as your bet, because in the long run you'll break even.
More importantly, if you are being offered the chance to win more than four times your bet, you'll eventually make money.
Now that you have worked through the math and seen the theory, it is time to introduce a handy shortcut. This will help you calculate your chances of winning a hand within the short period of time that Internet poker allows you to make a decision.
While this method is not super precise, this poker cheat sheet provides a clear enough guide when calculating odds in online poker.
Of course, the purists out there will still want to do mental gymnastics to get the exact percentage figure, but for the rest of us mere poker mortals the rule of 4 and 2 is more than enough to give reasonable percentages.
When preparing these we have not included any odds that incorporate there being two cards to come i. Instead, all these poker odds assume that you're on the turn and want to see a river.
So, without further ado:. For example, an on an A board. You have 8 outs: These hand odds of winning presume that there is no possible flush on the board, and that you're drawing to the best hand.
Be aware that if you have on a AK board, the tens may not be outs for you, as they could possibly make someone who has QJ a bigger straight.
If your hole cards are suited, and there are two more of your suit on the board, you can most often treat any flush as the nuts since it's very rare that you will be up against another person with two hole cards of your suit.
If you are drawing to a four flush on the board, however, you should be extremely careful if you do not have the ace.
Poker players like drawing to flushes, and also like playing aces - these two facts combined make your odds of winning a lot lower if you chase anything but the nut flush.
Again, I'm assuming that you're drawing to the nuts, e. Any of the four sixes will give you the nuts. Unless you use both your hole cards to make the straight, however, you will not be drawing to the nuts.
If the board is A and you have , any 8 will give you a straight, but it's not the nut straight; someone with T-7 will have the nuts.
If you have J-T on a board of A-J, and you strongly suspect that you're up against someone with a pair of aces, you have five outs to beat him: Your odds here are based on the assumption that your opponent does not have AJ or AT!
This is a dangerous assumption to make, and you should realistically have better odds than 8: Now we've really entered a dangerous assumption.
If you have KQ on a board of J, and you think your opponent has made a pair of eights, but without a queen or a king kicker, you have six outs any queen or king will make you a better pair.
The odds of 6. It will often be the case that you're wrong, so be very careful with this situation. If you're holding on a A-K board, and your only saving grace is a third 7.
This is a really far fetched draw, and our only reason for including it is to show just how far fetched it is. We have almost never seen a pot big enough to warrant drawing to a set.
Fold in all but the most extreme pot sizes. This is the generic formula. If you have a draw other than the ones we've listed above, and want to figure out your odds for it, this is the way.
Count the number of outs you have and then subtract this number from Divide the result by the number of outs, and voila - you have your odds.
For example, if I'm drawing both to a set and to a flush, e. I have reason to believe my opponent has two pair, and I have AA, with four to a flush, my outs are any ace giving me a set plus 9 flush cards giving me a flush , totaling 11 outs.
Don't forget that you can always use our poker cheat sheet and poker odds calculator , especially when reviewing your poker hands and studying.
There are many ways to calculate different kinds of poker odds. You could, for example, use a poker cheat sheet.
You can also use a poker chart as a guide. Other odds calculations require more effort and practice. It's best to routinely use an odds calculator to check what your odds were after the fact; you can then adjust your play based on this information in future, similar hands.
The rule of four and two is the easiest way to know roughly what your odds of winning the hand are. It's a simple process: For example, if you have a flush draw, there are nine cards you can hit to make a flush.
To know the odds of making your flush on the turn, simply multiply your outs by two and add two. To know the odds of making your flush on the river, multiply your outs by four and add four.
The best way to calculate precise preflop odds is to use a dedicated odds calculator. However, here are a few quick and dirty tricks to know rough odds on the go:.
Pot Equity refers to your percentage chance of winning the pot. It is the amount that may belong to you depending on what cards you have. This could be at any stage of the game.
Pot odds refers to the price of calling a bet relative to the size of the pot. It can be tricky to work out pot odds exactly, but estimating is usually fine.
To calculate Pot odds, you'll first need to know your outs. Outs are the cards that can improve your hand. There are many ways to calculate Pot Odds but here's a simple one.
Rather than using a formula, poker players around the globe use the Rule of 2 and 4. The rule says that if you have two cards to come, you can multiply the number of outs you have by four and you'll come to an approximate percentage of making your hand.
If you have only one card to come, you can multiply your outs by two to reach an estimated percentage. Good odds simply means that the odds you have to call are better than the odds of making your hand.
If you have two suited cards, you will flop a flush roughly one time in Usually you want your outs to count toward a nut best hand draw, but this is not always possible.
The quick amongst you might be wondering "But what if someone else is holding a spade, doesn't that decrease my number of outs?
The answer is yes and no! If you know for sure that someone else is holding a spade, then you will have to count that against your total number of outs.
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. That knowledge is your pocket cards and the cards on the table.
So, in essence, you are doing the calculations as if you were the only person at the table - in that case, there are 9 spades left in the deck.
When calculating outs, it's also important not to overcount your odds. An example would be a flush draw in addition to an open straight draw.
In addition to this, sometimes an out for you isn't really a true out. Let's say that you are chasing an open ended straight draw with two of one suit on the table.
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.
This makes a possible flush for your opponents. As a result, you really only have 6 outs for a nut straight draw.
Another more complex situation follows:. Once you know how to correctly count the number of outs you have for a hand, you can use that to calculate what percentage of the time you will hit your hand by the river.
Probability can be calculated easily for a single event, like the flipping of the River card from the Turn. This would simply be: This can be calculated as shown below:.
Even though there might not technically be 47 cards remaining, we do calculations assuming we are the only players in the game.
To illustrate, here is a two-overcard draw, which has 3 outs for each overcard, giving a total of 6 outs for a top-pair draw:.
However, most of the time we want to see this in hand odds, which will be explained after you read about pot odds. To change a percentage to odds, the formula is:.
Now that you've learned the proper way of calculating hand odds in Texas Hold'em, there is a shortcut that makes it much easier to calculate odds:.
After you find the number of outs you have, multiply by 4 and you will get a close estimate to the percentage of hitting that hand from the Flop.
Multiply by 2 instead to get a percentage estimate from the Turn. You can see these figures for yourself below:.
As you can see, this is a much easier method of finding your percentage odds. But what about ratio odds? This is still done using this formula:. We minus 1 from that and get a rough estimate of our odds at about 3: Let's try this all the way through with an example:.
If the 1 out of 5 doesn't make a ton of sense to you, think about the 1: Now that you know how to calculate poker odds in terms of hand odds, you're probably wondering "what am I going to need it for?
Pot odds are simply the ratio of the amount of money in the pot to how much money it costs to call. The higher the ratio, the better your pot odds are.
Pot odds ratios are a very useful tool to see how often you need to win the hand to break even. The thinking goes along the lines of: The usefulness of hand odds and pot odds becomes very apparent when you start comparing the two.
As we now know, in a flush draw, your hand odds for making your flush are 1. Your answer should be: This means that, in order to break even, you must win 1 out of every 5 times.
However, with your flush draw, your odds of winning are 1 out of every 3 times! You should quickly realize that not only are you breaking even, but you're making a nice profit on this in the long run.
Let's calculate the profit margin on this by theoretically playing this hand times from the flop, which is then checked to the river.
As you can see, you have a great reason to play this flush draw, because you'll be making moneyin the long run according to your hand odds and pot odds.
The most fundamental point to take from this is:. If your Pot Odds are greater than your poker hand odds, then you are making a profit in the long run.
Even though you may be faced with a gut shot straight draw at times - which is a terrible draw at 5 to 1 hand odds - it can be worth it to call if you are getting pot odds greater than 5 to 1.
Other times, if you have an excellent draw such as the flush draw, but someone has just raised a large amount so that your pot odds are 1: In this situation, a fold or semi-bluff is your only solution, unless you know there will be callers behind you that improve your pot odds to better than break-even.
Your ability to memorize or calculate your hand odds as well as calculate pot odds will lead you to make many of the right decisions in the future - just be sure to remember that fundamental principle of profitably playing drawing hands requires that your pot odds are greater than your hand odds.
An important note I have to make is that many players who understand Hold'em odds tend to forget is that much of the theoretical odds calculations from the flop to the river assume there is no betting on the turn.
So while it's true that for a flush draw, the odds are 1. Unfortunately, most of the time, this will not be the case, so you should not calculate pot odds from the flop to the river and instead calculate them one card at a time.
To calculate your odds one card at a time, simply use the same odds that you have going from the turn to the river. So for example, your odds of hitting a flush from the turn to river is 4 to 1, which means your odds of hitting a flush from the flop to the turn is 4 to 1 as well.
To help illustrate even further, we will use the flush calculation example that shows an often-used but incorrect way of thinking. As you can see from these example calculations, calling a flush draw with 2 to 1 pot odds on the flop can lead to a long term loss, if there is additional betting past the flop.
Most of the time, however, there is a concept called Implied Value which we'll get to next that is able to help flush draws and open-ended straight draws still remain profitable even with seemingly 'bad' odds.
The draws that you want to worry about the most are your long shot draws: If you draw these hands using incorrect odds such as flop to river odds , you will be severely punished in the long run.
Implied Value is a pretty cool concept that takes into account future betting. Like the above section, where you have to worry about your opponent betting on the turn, implied value is most often used to anticipate your opponent calling on the river.
So for example, let's say that you have yet another flush draw and are being offered a 3 to 1 pot odds on the turn. Knowing that you need 4 to 1 pot odds to make this a profitable call, you decide to fold.
Here is where implied value comes into play. So, even though you're getting 3 to 1 pot odds on the turn, you can likely anticipate your opponent calling you on the river if you do hit your flush draw.
This means that even though you're only getting 3 to 1 pot odds, since you anticipate your opponent calling a bet on the river, you are anticipating 4 to 1 pot odds - so you are able to make this call on the turn.
So in the most practical standpoint, implied value usually means that you can subtract one bet from your drawing odds on the turn, as it anticipates your opponents calling at least one bet.
In some more advanced areas, you can use implied odds as a means of making some draws that might not be profitable a majority of the time, but stand to make big payouts when they do hit.
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