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How are Texas hold’em poker odds calculated?

In Texas Hold’em, poker odds are calculated by determining your outs (the cards that improve your hand) and using the rule of 2 and 4 to estimate your chances. Multiply your outs by 2 for one card to come (turn or river) or by 4 if both remain. For example, with 9 outs for a flush, you have an 18% chance of hitting it on the turn (9 × 2) and a 36% chance by the river (9 × 4). Comparing these percentages with pot odds (the ratio of the pot to the bet) helps decide whether to call or fold.

Number of Outs

One of the most important aspects in Texas Hold¨¦m is playing scrupulously within your means. Breaking this down: an out is card that can help your hand. Now, you have to imagine: Well, it is kind of like.. But now that I have 2 hearts; there are also two other faces \(two more hearts\) on the flop! With four cards to a flush and all of the other players playing standard Poker rules where no draws can be available so you actually need five. Now, you see 4 of the hearts and there are still nine remaining ones which can finish your flush from (The deck has thirteen Hearts) These 9 cards are your outs.

Well, the rule of thumb is that the more outs you have to win a hand with; the better your chances are. Lets explain this with an example. If you have a straight draw and 9 or ace would complete it, there are four nines and four aces in the deck. That’s 8 outs. That means every card in this report has an 8-in-19 shot of helping you — a lot better than what the one perfect card would have given you.

The rule of 2 and 4 is a popular guiding principle for many players. If you’re on the next card (turn, for example), then multiply your outs by 2 to determine and estimate at which % level will bsafe.wpengine.com improve. If you’re on the turn and looking to see both in most situations just multiply by 4. For example, with those 9 outs you have a ~36% chance of hitting that flush on the river (9*4%). Sounds good, right?

And it’s not only theoretical. Player sit at the table and count their outs face up all the time. Kids who have some way of evaluating their outs when they are learning how to play poker will ultimately be making better decisions overall. The whole point is to be maximizing the upside while reducing your downside.

The Rule of 2 and 4

Rule of 2 and 4 It is considered as one of the most straightforward tricks to figure out your odds in Texas Holdem. This rule makes it easier to determine your likelihood of hitting that key card. This is designed to be easy for anyone of any mathematical skill, and believe me this comes in hand very often throughout the fast pace games.

Here’s how it works. If you are on the flop and waiting for the turn (the upcoming card) to come just count your outs, which is number of cards that will further strengthen your hand. Next you double that number. That is your rough pot odd for hitting the next card that you need just using odds. Simple, right? Say you have 9 outs for a flush. In fact not, as twice a 9% chance equals out to an overall likelihood of 18% that if you see the turn card and need just one more Heart to complete your flush.

So, in that case of thinking ahead to Turn and River Just Multiply your Out By 4 If you have 9 outs on the draw, then *4 = ~36%, which translates to your chances of catching a flush by the river. It is simple math and it works wonders.

What is useful about this rule, however, is that it can be implemented quickly and without error. You should not be taking out your calculator in the middle of a hand but you will know exactly whether or not it is worthwhile sticking around. And just think, professional athletes use this rule all throughout their careers. Joe McKeehen used such understanding of outs and percentages to make +ev decisions bringing him not just 1st place, but also made him the world champion during the most recent WSOP in 2015. Part of it is luck but a bigger part of it was derived from strategies with clear numbers supporting (or not) the next move.

Pot Odds

During a Texas Hold ‘Em game everyone is focused on the action, and knowing your pot odds can be the difference between walking away with some serious cash or hanging around as just another chump waiting to throw down for hundreds more. Pot odds is just a simple way to compare the size of the pot in relation to your call. The larger the reward in relation to what you put into it, is how good of a deal you will get.

For example, the pot is $100 and your opponent bets 20. You must call $20 to keep playing pot is now $120 When you simplify it the pot odds are 120:20 and further simpler, they can be represented as 6:1. That means you are risking $1 to win as much as $6. The question then becomes whether or not that draw is strong enough to call here with your hand and at 5-1, you are overdrawn.

Calculate, calculate and again — here comes the math. If the odds of you hitting your outs are better than pot odds, then just call. Example# Let me explain it further. You have an open-ended straight draw, 8 outs. Now, if you use the 2 rule such as above with your two of hearts and three of spades then that means that it is already unlikely that a 4 will come on the turn card (6% chance) because there are no fives left. Given this, 6:1 pot odds means you break even at around a 16.7% RelativeLayout chance. If your odds are so close but not enough, it could make sense to fold unless you can already count on making back the money via future bets (therefore implied-odds).

Understanding your pot odds is essential for improving the decisions you make. Pot odds are the great equalizer that even poker legends such as Phil Hellmuth and Daniel Negreanu can not avoid when making their big calls. It’s not just intuition; it is about doing the math in front of you and making decisions.

Implied Odds

Whatever the case, using implied odds will elevate your poker calculations even further. Pot odds are your current pot based calculation, whereas implied odds is also somewhat future proofing. This / is the idea that even if you are not getting great pot odds now, chances of winning would be much more than expected when you made your hand live and your opponent continues to bet

Here’s a clear example. For example, the pot is $50 and your opponent bets $10. Your Pot odds are 60:10, meaning you can get in for 6:1 If you have a flush draw (9 outs), that means there are still about 36% of the upgrading possibilities which should come before your turn. But what if you figure that, if a heart does come and your flush fills in.. wont the guy behind bet another $100. Well, the likely payout is a lot larger compared to pot that may be even bigger provided now, so this $10 label has grown extra appealing.

Implied odds refer to guessing future bets. If your hand is the sort that might be disguised — say a low straight or backdoor flush type of thing — you could get paid off larger bets on further streets than an opponent woud pay if he saw it coming. That is why implicit odds are a paramount issue in No-Limit Holdem. You are often playing for much more than what is already in the pot.

And if I may use a real world example from the 2003 World Series of Poker we have Chris Moneymaker making an incredible ballsy bluff against Sammy Farha. After all, he also realized that the pot was playing much bigger than it truly was as his beyond top-pair likely dynamite hand had good odds to generate not only at least another bet from Sammy Farha but a street or two more worth of action. He was able to turn a share that cost him little into $2.5 million by mastering both pot and implied odds.

Knowing how implied odds work can provide you with an advantage in all those tough situations, when pot odds alone do not justify a call. This is a slow play and you have to not only read what you are up against but how the betting will look later on after your big score.

Combinatorics

Combinatorics in Texas Hold’em allows you to size up the number of different hands your opponent could have, which takes into account all possible hand combinations. In essence, you simply tally the amount of times you hold different cards to assess likelihood of certain hands. That seems maybe a bit overwhelming, but after you’ve the hang of it, its quite simple.

Now imagine a board of KQ10, and you have Ace-King. You are now calculating how many types of hands this player can have that would beat you. They might have a J-9 for the straight, or maybe just on their flush draw. This is where combinatorics enters — you calculate how many different ways they could possibly have those hand.

For pocket pairs, such as if you put them on Queens there are only 6 different ways to get a hand like (because you can pair the first queen with any of 5 other queens), but people will debate whether this makes sense — too often they will just sit back and wait for their better kicker or similar high card value. For suited connectors, such as J-10 of spades which limits us to only 1 combo because both individual cards are also required to be the same suit.

That’s only reducing the number of options. Thanks to combinatorics you can find out how many hands win against yours or not. Example: You believe 10 combinations of hands beat you but that 20 more are worse than yours. You should win this hand more, and that can make a big bet worthwhile.

Combining this complex probability improves their game, and players in elite poker events are always combinatorics. Take Phil Ivey for instance. This skill also makes him great at doing just that, working out these odds on the fly to remove certain combinations from his opponents’ ranges. You are not playing the cards… you play the range of possibilities.

Combinatorics is one of the biggest factors that separates successful people out because it takes you away from just “gut feelings” and into real math. And this math can mean the difference between laying down a hand that you needed to lay down or making an impossible call at high-stress moments.

 

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