Learn Poker Hand Odds
There are many casino poker variants to choose from, but unquestionably, three card poker is among the most fast-paced and thrilling. This essential guide takes you through everything you need to know; we breakdown the rules of 3 card poker and explain how to play the game. Plus, we cover all the side bets, bonuses, and payouts; and reveal the perfect three-card poker strategy.
How to play three card poker
The important elements of creating great casino poker games are to firstly make the rules easy to understand, and secondly, the payouts have to be appealing to players. Derek Webb, the game’s inventor, combines these factors to a tee. Learning the basics of how to play three card poker only takes a minute or two.
Of course, you want to refine your play with a proven strategy, but we’ll get to that part later. For now, let’s explain 3 card poker rules and guide you through the gameplay.
Three card poker rules
Once you know the rules, you’ll be well on your way to being able to play 3 card poker online. The game is played with a standard 52-card deck. Here’s a step-by-step guide to a single round.
- To begin a round, the player must place an ante bet.
- The dealer then deals three cards to the player, which are face-up, and three cards to himself, which are face down.
- Based on the three cards, the player can either fold the hand or continue by placing a play bet.
- If the player folds, he loses the original ante bet wager.
- If he continues, the cost of the play bet is equal to the ante bet.
- Assuming the player continues, the dealer turns over his three cards.
- The dealer’s hand needs to be at least Queen high to qualify.
- If the dealer’s hand doesn’t qualify, the player wins even money (1:1) on the ante bet, but the play bet is pushed (returned).
- When the dealer does qualify; the player’s hand is compared to the dealer’s hand. The winner is determined according to the order of 3 card poker hand ranks.
- If the player’s hand wins, he gets paid 1:1 on both the ante bet and the play bet.
- If the dealer’s hand wins, both bets are lost.
- It is possible for the hands to tie. In which case, the ante and play bets are pushed.
- Regardless of the outcome of the round, if the player holds a straight or higher, he wins an ante bonus (as described below).
Texas Hold’em Poker Hand Example. Let’s use MDF and pot odds to analyze the following hand history from both players’ perspectives. 100NL, 100BB Effective Stacks. Preflop Folds to CO who opens to 2.25BB, 2 folds, BB calls. Flop (5BB) A ♥ T ♦ 6 ♠ BB checks, CO bets 3.75BB, BB calls. Turn (12.5) 2 ♠ BB checks, CO bets 9.38BB, BB. Three card poker odds and payouts We described the standard 1:1 payouts in the 3 card poker rules outlined above, but those are just one part of this game. The excitement jumps up a few notches because three card poker also includes an ante bet bonus. The best way to learn poker is to study from the best. I am a 10+ year poker pro and one of the winningest poker players in online poker history at the lower stakes (BlackRain79). I run a free poker blog and poker YouTube channel teaching people how to learn to play poker. I have also written 3 best selling books on the game.
Poker hand ranks
There’s a slight alteration in the poker hand ranks for this game (compared to most other forms of poker). The reason is that you are less likely to hit a straight draw than you are to get a flush draw. This is the ranking order, starting with the highest three card poker hand at the top:
- Straight flush: 3 cards of the same suit in consecutive order.
- Three of a kind: 3 cards of equal face value.
- Straight: 3 cards of mixed suits in consecutive order.
- Flush: 3 cards from the same suit but not in consecutive order.
- Pair: two cards of equal face value.
- High card: none of the above hands, means you only have a high card.
Three card poker odds and payouts
We described the standard 1:1 payouts in the 3 card poker rules outlined above, but those are just one part of this game. The excitement jumps up a few notches because three card poker also includes an ante bet bonus. The ante bet bonus is based purely on the player’s three cards. Therefore, you can win this bet but still lose the round.
Ante bet bonus payouts:
- Straight flush: 5 times the ante bet
- Three of a kind: 4 times the ante bet
- Straight: 1 times the ante bet
Pair Plus bet
Before the start of a hand, players can also make a Pair Plus side bet. Again, this wager is independent of the outcome of your game against the dealer. It’s based on the 3 cards you are dealt.
Pair Plus bet payouts:
- Straight flush: 40 to 1
- Three of a kind: 30 to 1
- Straight: 6 to 1
- Flush: 4 to 1
- A pair: 1 to 1
Six Card bonus
The six card bonus is another optional side bet, but not all three card poker games offer this wager. It uses the three player cards and the three dealer cards from which you must form a five-card hand that is on the pay table to win.
Pair Plus bet payouts:
- Royal flush: 1000 to 1
- Straight flush: 200 to 1
- Four of a kind: 50 to 1
- Full house: 25 to 1
- Flush: 15 to 1
- Straight: 10 to 1
- Three of a kind: 5 to 1
These poker hand rankings are more traditional with a royal flush being the best possible hand, and the flush payout is valued higher than the straight.
3 card poker strategy
We can categorize casino card games into two types. The first are games of chance, such as baccarat and Dragon Tiger. The others are decision-based games like blackjack, Caribbean Stud, and Casino Hold’em. Three card poker drops into the second type because the player makes a decision after seeing his cards on whether he wants to fold or continue by making the play bet.
All of these decision-based games have an optimal strategy. However, some of these involve studying playing charts, which dilutes the entertainment value of the game when you first start playing. The 3 card poker strategy doesn’t bother with such complexities. In fact, you only need to remember 3 cards.
The optimal three card poker strategy for the ante and play bet is QUEEN – SIX – FOUR
This means if your hand is equal to, or stronger than, Q-6-4, you should always raise and make the play bet. What you need to remember is to look at each card separately.
- Start with your highest card. If it’s lower than a Queen – you fold the hand.
- If the highest card is a King or Ace – you raise.
- If the highest card is a Queen, you must look at the second highest card. If lower than 6 – you fold the hand. But, if higher than 6 – you raise.
- If the second highest card is 6, you move onto the third card. Lower than 4 means you fold. 4 or higher, and you raise.
House edge
When choosing what casino games to play, you should always consider the house edge. This is essentially the advantage the casino has. The good news is the three card poker house edge is competitive, which is why this game has grown in popularity.
- The house edge for the ante and play bet combination is 2.01% when using the Q-6-4 strategy described above.
- For the Pair Plus bet, the house edge is 2.32% based on the pay table used in our example. This is reasonable value for a side bet.
- The same cannot be said for the Six Card Bonus bet. It has a house edge of 14.36% using the pay table shown. Therefore, even though the royal flush pays 1000 to 1, this side bet will cripple your bankroll over the long-term.
New players should note that the term ‘house edge’ is rarely used these days. Instead, the theoretical return to player (RTP) percentage is given. The RTP can be calculated by: 100% – house edge. Therefore, the RTP for the ante – play bet is 97.99%.
Tips for playing 3 card poker
Using our experience, and from talking with other three card poker players, we’ve composed a few easy-to-follow tips to help you get more from this game.
- Follow the Q-6-4 strategy. It can be tempting to play J-10-8 because the cards are all reasonably high, but this is not smart, and you will end up losing more than you win.
- Check the pay tables before you play. Several software developers have created their own variants, and there is also live 3 card poker. Just because the title of the game is the same, it doesn’t mean the pay tables are. This has an impact on the RTP, and you want to play where you get the best value.
- Avoid the Six Card Bonus wager. The RTP for this bet is 85.64%. That means on average (over the long-term) for every $100 wagered, you win $85.64.
- Manage your bankroll. You don’t want to play $20 ante bets, and $20 play bets if you only have $100 in your casino account. Look to divide your budget so you can get 50 to 100 hands out of what you have.
- Practice by playing free three card poker games. Most online casinos, after you have registered, will allow you to play in demo mode. This allows you to practice your playing and betting strategy. Please note, you won’t be able to play live 3 card poker games for free.
Live three card poker
The award-winning Evolution Gaming, in partnership with Scientific Gaming, has created a spectacular live dealer three card poker game. This brings you all the authentic gameplay that you get in a land-based casino, but from the comfort of your own home.
It should be noted that there is usually a trade-off playing live games. Most of the time, the RTP is lower due to the extra costs involved in operating these tables. For instance, we’ve read reports that the ante bonus on Evolution’s live variant pays 5 to 1, but you need a mini royal flush to claim it.
This title also has the two side bets we talked about above. However, the pay table for Pairs Plus is not identical. Playing live, there is a maximum payout of 100 to 1 for a mini royal. This may appear more rewarding, but the payout for a straight is less, so the house edge ends up being higher. With that said, playing three card poker live is a great experience, and we think it’s worth trying even though the RTP is not as high.
Where to play online three card poker
Three card poker may not have the iconic status of roulette or blackjack, but it’s catching up in the popularity stakes. Thanks to there being both virtual RNG and live games, you can now find this poker variant in hundreds of online casinos around the world, including:
- 888casino
- PlayOJO
- Mr Green
- Ignition
The decision where to play three card poker depends on what you want from the casino. Each operator has its strengths and weaknesses. Some offer larger bonuses, while others have faster payouts or better mobile apps. If you’re looking for your first casino, we recommend checking out our online casino reviews section for an honest point of view. In terms of bonuses specific for 3 card poker; the truth is that there aren’t many. You can use a casino’s welcome bonus to play, but the wagering requirements combined with game weighting limitations means you are unlikely to score a profit from these offers.
Three card poker – F.A.Q.
To summarize the main points of this article, we’ve included this general three card poker FAQ.
Is there any strategy to 3 card poker?
Yes, and it’s very straightforward. The strategy is Queen – Six – Four. If your hand value is lower than that, you fold. If equal or higher, you make the play bet.
What is the highest hand in 3 card poker?
The highest hand is Ace – King – Queen of the same suit. This is known as a mini royal. There are no trump suits in three card poker.
Do I play against other players?
No, three card poker is a player vs dealer game. If you play live, you can play alongside other players although each of you has to take on the dealer.
Can I play free 3 card poker?
Yes, nearly all online casinos that offer an RNG version will allow you to play free 3 card poker in practice mode.
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.
The right kind of practice between sessions can make a HUGE difference at the tables. That’s why this workbook has a 5-star rating on Amazon and keeps getting reviews like this one: “I don’t consider myself great at math in general, but this work is helping things sink in and I already see things more clearly while playing.”
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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%
Learn Poker Hand Odds Nfl Week 11
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.
Learn Poker Hand Odds Poker
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.
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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.