Poker Odds for Dummies POKER ODDS FOR DUMMIES

This guide is for you if you have a basic knowledge of poker, but don't have a clue about Texas Hold'em poker odds or how they work. After reading this you'll find it easier to beat your friends and win in online poker rooms.

Poker Odds for Dummies Calculate Your Odds
FOR PLAYERS AT LEVEL: Beginner - Intermediate

At first, poker odds can seem confusing, but if you're going to take poker seriously then having a basic knowledge of them is critical (it'll be clear why after reading this page). This short, practical guide and the tools within will give you everything you need to gain the upper hand on both real and online tables.

Right then buckle up because we are going to take a short drive through the world of poker odds. But before we pull off the driveway, let's start with a back to basics look at odds and what they mean.

Part 1
How Odds Work and "The Long Shot"
How Odds Work

When the odds are particularly large against you winning, you'll often be referred to as the "long shot", which generally means it will be a cold day in Hell before you succeed.

Higher odds generally mean you have less chance of winning. If someone offers you odds of 100:1 it means they're convinced you're not going to win.
Part 2
Poker Odds Tell You the Probability of Winning Any Given Hand

Before we can get into a discussion of poker odds while playing poker online, you need to know how to calculate your "outs." Outs are simply the cards that will help you improve your hand and make it better than what you think your opponent is holding.

To Calculate Odds You First Need The Number of Winning Cards, or "Outs"

Find your outs
Part 3
Using The "Outs" To Calculate Texas Hold'em Poker Odds

We have already determined that you have nine "outs". Now there are 52 cards in a deck and two of those are in your hand, leaving 50. 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 4:1. In other words, you are four times more likely to lose this pot than you are to win it.

First Calculate How Many Cards From The Deck You Can't See:

Use outs to calculate odds

The Unseen Cards Are Then Split Into Winners and Losers:

37 Cards in the deck that will still cause you to lose
Cards that will cause you to lose
9 Cards in the deck that will give you a win
Cards that give you a win
Your Odds of Getting The Winning Flush Are therefore: 37 to 9 This Simplifies Down To: 4 to 1 (or 20% for those that like to use percentages) In other words, you are 4 times more likely to lose this pot than you are to win it.
Part 4
The BIG Question - Should You Call The Bet?

So we have odds of around 4:1 to win this hand. 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. Let's say there was $90 in the pot and your opponent bets $10. That makes a total of $100 in the middle of the table just waiting to be won. You need to match your opponent's bet of $10 to see the river card, so it's going to cost you $10 to see if that last card is going to be one of the nine you need to win.

Step 1: Work Out How Much You'd Normally Win From Your Actual Poker Odds:

Step 1: Work out how much you'd win from your poker odds

Step 2: Calculate How Much Money You Could Win and The Odds You're Getting:

Step 2: Calculate how much you could win and the odds you're getting

Step 3: Decide Whether to Call The Bet

In this example by betting $10 your opponent has effectively given you odds of 10:1, when your actual chance of winning is 4:1.

This is like a bookmaker giving you 10:1 odds on a horse that has a 4:1 chance of winning. 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.

Part 5
But What if I Lose?

Even if you make that call, you might still lose. It happens. Remember, your calculated odds were 4:1, meaning the poker gods say you will lose four times for every time you win. 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.

To Summarize Everything We Have Calculated so Far:

Summarize everything

So If This Exact Same Situation Came up 5 Times During Your Game:

What if this came up 5 times during your game
Part 6
A Lot to Remember?
Here's a Handy Shortcut - The Rule of 4 and 2

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.

1 After the flop (first three cards the dealer puts on the board),calculate the number of outs left in the deck:
Using our example from step 1 we had: 9 outs
2 The simply multiply the number of outs by 4 to get the chance of being delt a winning card on the turn or river
9 x 4 = 36%
3 After the turn (fourth card dealt on the board), multiply the number of outs by 2 to give chance of winning on the river
9 x 2 = 18%

While this method is not super precise, it 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.

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Some Common Poker Hand Odds

When preparing these we have not included any odds that incorporate there being two cards to come (i.e. situations after the flop). Instead, all these poker odds assume that you're on the turn and want to see a river. So, without further ado:

Open Ended Straight Draw
Open-Ended Straight Draws:  4.8 : 1

For example, an 8-7 on an A-9-6-2 board. You have 8 outs: the four fives and the four tens. 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 7-6 on a A-9-8-K board, the tens may not be outs for you, as they could possibly make someone who has QJ a bigger straight.

Four to a Flush
Four to a Flush: 4.1 : 1

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.

Inside Straight
Inside Straight (Belly Buster): 10.5 : 1

Again, I'm assuming that you're drawing to the nuts, e.g. with 8-7 on a board of A-9-5-K. 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-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.

One Pair to Two Pair
One pair, drawing to two pair or trips: 8.2 : 1

If you have J-T on a board of A-J-8-3, and you strongly suspect that you're up against someone with a pair of aces, you have five outs to beat him: three tens (giving you two pair), and two jacks (giving you trips). 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 8:1 to profitably make this call to make up for the times when you are actually drawing to only half as many outs as you think you are.

Overcards on a Flop
Overcards on a ragged board on the turn: 6.7 : 1

Now we've really entered a dangerous assumption. If you have KQ on a board of 8-5-2-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 6.7 - 1 only hold true if your assumption is correct. It will often be the case that you're wrong, so be very careful with this situation.

Drawing to a Set
Drawing to a set: 22 : 1

If you're holding 7-7 on a A-K-9-2 board, and your only saving grace is a third 7. This is a really farfetched draw, and our only reason for including it is to show just how farfetched 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.

Drawing to X outs: (46-X) / X : 1

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 46. 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.g. 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), totalling 11 outs. This gives:

46 - 11 = 35.

35 / 11 = 3.2

My odds of drawing a winner are 3.2 : 1

Don't forget that you can always use our poker odds calculator, especially when reviewing your poker hands and studying.

Poker Pot Odds & Starting Hands Chart

Here's our at-a-glance guide to pot odds in poker and which hands to play. You can download and print out this poker odds guide to have next to you when you play. Click the image below to enlarge the poker odds chart or download the pdf here.

Poker Odds Chart
Poker Odds

Further Reading

If you would like more information on the math involved in figuring out probability when it comes to poker, check out this article on poker math.

For more on poker odds and implied odds in general, see "Theory of Poker" by David Sklansky. For a good discussion on how to figure out your poker odds in No-Limit Texas Hold'em situations, have a look at "Harrington on Hold 'em", volumes I and II, by Dan Harrington and Bill Robertie. For more discussion on counting your outs and specifically how to discount them, see "Small Stakes Hold 'em" by Ed Miller, David Sklansky and Mason Malmuth.

The Fundamental Concepts of Poker article series starts with Expected Value.

Resources from Around the Web

Wikipedia on Odds Poker 101 Math of Gambling PDF

University of Arkansas Math in Sports Betting

Use Our Odds Calculator

Read more on online poker odds and strategy in our general poker forum, strategy forum, and poker rooms forum. Also check out our guides on How Many Hands You Should Play and Starting Hands.