Casino House Edge Chart
House edge means the percentage of the player's bet the casino wins on average. This is worth figuring out since the size of house edge has everything to do with how likely you're to win. Educated players always find the games with the least house edge possible and therefore win the most - or at least lose the least. So, the house edge is substantial, but hitting on roulette can see you win big! Calculate Your Odds With These Roulette Charts Payouts will differ according to the bet and the roulette variant played. Look at the game of Roulette. You will see that the house edge is 5.26% for the double zero game. This is how we figure the edge. In the game, there are 36 numbers plus the 0 and 00. The odds of you winning is one in 38 or 37 to 1. If you win the casino pays you 35 for your dollar bet.
Did you know that casinos always have the upper hand? It doesn’t matter which game you play or where you play it, casinos pay out less money than they take in. Even when a game is completely fair, the rules are set up to statistically favour the casino. Then again, the presence of the house edge doesn’t have to dash your hopes entirely. Chances are you’ve had great days at the casino yourself despite the inherent house edge. Yet when you fully understand how the house edge works, you minimize its effects. Continue reading this guide and our gambling experts will reveal how to make the most out of the house edge.
What Is House Edge? The house edge is also known as the casino advantage. And it's something that exists on every table game, lotto, or slot in a casino online or on land. The house edge percentage tells you the casino’s profit margin. For instance, when you play double exposure blackjack with a posted 0.69% house edge, the casino can expect to make a £0.69 profit for every £100 wagered on average. With this in mind, the house edge probably won’t reflect your individual experience.
Understanding the House Edge
Casinos offer outstanding entertainment. Even if you don’t gamble, it’s fun to watch visitors risk it all and manage to defy the odds. Naturally like all businesses, casinos exist to make a handsome profit for the owners. This is by no means a recent development. Casino games, including baccarat, roulette, and blackjack, have been popular for more than a century and the house edge, which is dependent on the rules, hasn’t changed much.
When you play any of the more popular table games, the casino’s advantage is fairly consistent. Although this is generally true, minor rule changes can considerably alter the advantage of the house. For example, European roulette has a reasonable house edge of 2.70% but that number jumps to 5.26% when you play the American version due to the addition of an extra number on the wheel. Yet what do these numbers mean to you? The house edge percentage tells you the casino’s profit margin. For instance, when you play double exposure blackjack with a posted 0.69% house edge, the casino can expect to make a £0.69 profit for every £100 wagered on average.
With this in mind, the house edge probably won’t reflect your individual experience. You could bring £100 to the table and lose it all or you could win a few hands in a row and be up £500 fairly quickly. Due to variance in the short term, it could take thousands of blackjack hands before casinos achieve this profit margin.
Even though the casino has a mathematical upper hand over players, you can minimize this advantage when you understand the house edge.
Accounting for Variance
Variance can mean a lot of things to different people. While statisticians define it as an amount that’s equal to the square of the standard deviation, we’ll spare you the boring university statistics lesson. In practical terms, it means diverging from the average. Look at it this way. All games of chance are completely random. When you roll dice at the craps table, the laws of physics dictate where they end up. Assuming a game is fair, which it will be at a licensed casino, spinning a roulette wheel and shuffling a deck of cards are also random acts. Of course, on the internet, the RNG or random number generator brings you the same level of randomness.
With randomness in mind, you would expect certain results. For example, if you roll a single six-sided die 60 times, you would probably expect it to land on 1, 2, 3, 4, 5, and 6 about 10 times each. If you try this, don’t be shocked if you get different results each time even if you shake the dice in the same random way every time. The fact is there is variance in the results. In all likelihood, your patience will wear thin long before you witness a distribution that perfectly matches the odds. Nonetheless, this is what makes it possible to win or lose in the short term, even if casinos win over time.
Finding the House Edge
The house edge is never a secret. When playing fruit machines offline, you’ll typically find the return to player or RTP % posted right on the machine. The RTP is another way of expressing the house edge. It tells you what percentage of real money wagers will be returned to players in the form of winnings. If you encounter a 97.5% RTP, just subtract this number from 100 to calculate the house edge, which would be 2.5%. Again, these pictures reflect the long-term picture and are in no way representative of your individual returns. Online slot machine players can typically find these figures listed in either the help section or within each game’s instructions.
If you are playing table games at a live casino, you can ask a member of the staff for a brochure that explains the rules, odds, and house advantage. Internet players can read the game rules on the landing page or check out the sitemap to find an RTP or house edge guide.
Why You Should Believe the House Edge
The numbers don’t lie, especially when you play at a reputable casino that’s licensed and regulated by the UK Gambling Commission. Casinos not only post the house edge so you can make informed decisions, but these results are put to the test by independent testing agencies. You can count on these auditors to test the games, software, data, random number generators, and physical gaming equipment to ensure that games are fair and the house edge is exactly as advertised. When you play online, you can usually find monthly reports indicating the house edge or RTP for individual games and the site as a whole.
Now that you thoroughly understand how the house edge works, you’ll want to use it to your advantage. The means choosing games that offer the lowest house edge and avoiding games that stack the odds against you.
Online Vs. Offline Play
Even though the internet gambling industry continues to experience explosive growth year after year, many Brits much prefer a night out at a live casino. While online and offline play both have their advantages, the overall house edge is often a little better for players on the internet. That’s because you can find obscure variations of games with more favourable house rules, especially if you play blackjack. Slot machine fans will also find a wider variety of games with superior payouts on the internet. In addition, online players have access to hundreds of sites, which makes it easy to shop around for the best games with the lowest house advantage.
If you’re a beginner, you’ll likely have an easier time winning online. Not only is there less pressure, but you can refer to game and strategy guides as you play. Don’t forget that you can reduce the house edge of many games by taking advantage of bonuses, promotions, and loyalty programs on offer.
- Baccarat 1.06%
- American Roulette 5.26%
- Classic Blackjack 0.13%
- Craps 1.36%
- Double Exposure Blackjack 0.69%
- European Roulette 2.70%
- Let it Ride 3.51%
- Jacks or Better Video Poker 0.46%
- Keno 20%-40%
- Super Fun 21 0.94%
- Sic Bo 2.78%
- Vegas Strip Blackjack 0.35%
When comparing casino games, it’s important to know that the posted house edge can be misleading. Since not all bets within a game have the same house edge, you can improve your odds by sticking to the most favourable wagers. For example, in punto banco baccarat bets on the banker have a 1.06% house edge, bets on the player have a 1.24% house edge, and bets on a tie have a 14.4%. If you bet on the banker every time, the casino’s edge will be miniscule.
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Introduction
Casino Hold 'Em is a poker variation, similar to Texas Hold 'Em, that is played in Egypt, Russia, South Africa, Holland, Latvia, Estonia, Ireland, Morocco, Malta, Ukraine, Panama, and Romania. It is also available to play online at casinos using Net Gaming, Real Time Gaming, Playtech, Gamesys, and Galewind Software.
The game also goes by the name Casino Hold 'Em Open. Under this name, the rules are the same except the player hole cards are dealt face up. In normal Casino Hold 'Em they are dealt face down.
Rules
The rules are as follows.
- Play begins with each player making an Ante wager. There is also an optional Progressive Jackpot side bet.
- The dealer gives the player and himself two hole cards and three community cards face up on the table.
- Each player must decide to either fold or call. If the player folds, then he gives up his cards and his Ante bet. If the player calls, then the Call bet must be equal to two times the Ante bet.
- The dealer will then deal two more community cards, for a total of five. The dealer will then turn over his own two cards.
- Both hands shall be scored according the highest poker value of the two hole cards and five community cards.
- The dealer must have a pair of fours or better to qualify. If the dealer does not qualify then the Ante will pay according to the Ante pay table below and the Call bet will push.
- If the dealer qualifies and beats the player, then the player will lose both the Ante and Call.
- If the dealer qualifies and the player beats the dealer then the Ante will pay according to the Ante pay table below and the Call bet will pay 1 to 1.
- If the dealer qualifies and the player ties the dealer then both Ante and Call bets will push.
- The Progressive Jackpot side bet pays based on the player's final seven card hand only, even if the player folded or loses to the dealer. More on this bet at the bottom of the page.
Ante Pay Table
| Hand | Table 1 | Table 2 | Table 3 | Table 4 |
|---|---|---|---|---|
| Royal flush | 20 | 25 | 100 | 100 |
| Straight flush | 20 | 25 | 20 | 49 |
| 4 of a kind | 10 | 12 | 10 | 17 |
| Full house | 3 | 3 | 3 | 3 |
| Flush | 2 | 2 | 2 | 2 |
| All other | 1 | 1 | 1 | 1 |
Caribbean Hold 'Em Warning
Be warned that Realtime Gaming has an imitation of this game called Caribbean Hold 'Em. However, they pay 1 to 1 on the Ante if the dealer doesn't qualify, as opposed to the full Ante Bonus pay table. Nowhere is this rule change disclosed in their game rules, I might add.
Analysis
The following table shows the number of combination, probability, and contribution to the return of all possible outcomes under ante pay table 3, which I'm told is the most frequently used. The lower right cell shows a house edge of 2.16%.
Return Table — Pay Table 3Expand
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Player wins with royal flush | 102 | 736259040 | 0.000026 | 0.002700 |
| Player has royal flush, dealer doesn't qualify | 100 | 119892960 | 0.000004 | 0.000431 |
| Player wins with straight flush | 22 | 6001122284 | 0.000216 | 0.004747 |
| Player has straight flush, dealer doesn't qualify | 20 | 1089672828 | 0.000039 | 0.000784 |
| Player wins with four of a kind | 12 | 41419896552 | 0.001489 | 0.01787 |
| Player has four of a kind, dealer doesn't qualify | 10 | 909499320 | 0.000033 | 0.000327 |
| Player wins with full house | 5 | 589505037660 | 0.021195 | 0.105973 |
| Player wins with flush | 4 | 505131419580 | 0.018161 | 0.072645 |
| Player wins with straight or less | 3 | 6426670016572 | 0.23106 | 0.693181 |
| Player has full house, dealer doesn't qualify | 3 | 24601676832 | 0.000885 | 0.002654 |
| Player has flush, dealer doesn't qualify | 2 | 168883536432 | 0.006072 | 0.012144 |
| Player has straight or less, dealer doesn't qualify | 1 | 5521376219148 | 0.198512 | 0.198512 |
| Tie | 0 | 678596916580 | 0.024398 | 0 |
| Player folds | -1 | 5009067102600 | 0.180093 | -0.180093 |
| Player loses | -3 | 8839701755612 | 0.317817 | -0.953451 |
| Total | 27813810024000 | 1 | -0.021576 |
The following return table is four pay table 4. The lower right cell shows a house edge of 0.35%. This pay table can be found at Internet casinos using Gamesys N.V. software titled 'Casino Hold 'Em with Zero House Edge.' As you can see, the 'Zero House Edge' part is a misnomer. The player must pay a 10% commission on any net gambling win per session. A 'session' ends after a period of one hour with no bet or 24 hours, whichever happens first.
The owner of Casino Hold 'Em wishes for me to state that Gamesys N.V. is using his game without permission.
Return Table — Pay Table 4Expand
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Player wins with royal flush | 102 | 736,259,040 | 0.000026 | 0.002700 |
| Player has royal flush, dealer doesn't qualify | 100 | 119,892,960 | 0.000004 | 0.000431 |
| Player wins with straight flush | 51 | 6,031,161,932 | 0.000217 | 0.011059 |
| Player has straight flush, dealer doesn't qualify | 49 | 1,096,758,936 | 0.000039 | 0.001932 |
| Player wins with four of a kind | 19 | 41,421,337,056 | 0.001489 | 0.028295 |
| Player has four of a kind, dealer doesn't qualify | 17 | 909,634,104 | 0.000033 | 0.000556 |
| Player wins with full house | 5 | 589,638,417,816 | 0.021199 | 0.105997 |
| Player wins with flush | 4 | 505,727,272,920 | 0.018183 | 0.072730 |
| Player wins with straight or less | 3 | 6,429,871,396,516 | 0.231175 | 0.693526 |
| Player has full house, dealer doesn't qualify | 3 | 24,601,738,176 | 0.000885 | 0.002654 |
| Player has flush, dealer doesn't qualify | 2 | 169,051,416,912 | 0.006078 | 0.012156 |
| Player has straight or less, dealer doesn't qualify | 1 | 5,526,154,486,512 | 0.198684 | 0.198684 |
| Tie | 0 | 679,763,871,140 | 0.024440 | 0.000000 |
| Player folds | -1 | 4,984,375,678,920 | 0.179205 | -0.179205 |
| Player loses | -3 | 8,854,310,701,060 | 0.318342 | -0.955027 |
| Total | 27,813,810,024,000 | 1.000000 | -0.003511 |
I would like to thank Stephen How of Discount Gambling for supplying the combinations in pay table 4.
The only pay tables fully analyzed are 3 and 4, because it takes my computer about a month to cycle through all possible combinations. However, assuming the player was following optimal strategy under pay table 3 but playing under pay table 1 or 2, the house edge under pay table 1 would be 2.40%, and under pay table 2 would be 1.96%. The actual house edge under pay tables 1 and 2 would be slightly less or equal to these figures.
Strategy
Casino House Edge Chart Printable
Unfortunately, there is no easy way to quantify optimal strategy for this game. I can say that the optimal strategy player will raise 82% of the time. So only in the worst 18% of hands should the player fold. In general these are when the player has two singletons in the hole that are low compared to the flop, with little or no chance for a straight or flush.
Side Bets
The only side bet I am aware of for this game is known as the AA+. It pays based on the poker value of the player's hand after the flop. There are three known pay tables, as follows:
AA+ Pay Tables
| Hand | Pay Table 1 | Pay Table 2 | Pay Table 3 |
|---|---|---|---|
| Royal Flush | 25 | 100 | 100 |
| Straight flush | 25 | 50 | 50 |
| 4 of a kind | 25 | 40 | 40 |
| Full house | 25 | 30 | 30 |
| Flush | 25 | 20 | 20 |
| Straight | 7 | 7 | 10 |
| Three of a kind | 7 | 7 | 8 |
| Two pair | 7 | 7 | 7 |
| Pair of aces | 7 | 7 | 7 |
| House edge | 6.40% | 6.26% | 2.97% |
Pay tables 1 and 2 can be found in land casinos. Pay table 3 is used by Internet casinos using Gamesys software.
As an example, following is the full return table for Pay Table 1.
AA+ Side Bet — Pay Table 1
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal Flush | 25 | 4 | 0.000002 | 0.000038 |
| Straight flush | 25 | 36 | 0.000014 | 0.000346 |
| 4 of a kind | 25 | 624 | 0.000240 | 0.006002 |
| Full house | 25 | 3744 | 0.001441 | 0.036014 |
| Flush | 25 | 5108 | 0.001965 | 0.049135 |
| Straight | 7 | 10200 | 0.003925 | 0.027473 |
| Three of a kind | 7 | 54912 | 0.021128 | 0.147899 |
| Two pair | 7 | 123552 | 0.047539 | 0.332773 |
| Pair of aces | 7 | 84480 | 0.032505 | 0.227537 |
| Other | -1 | 2316300 | 0.891241 | -0.891241 |
| Total | 2598960 | 1 | -0.064023 |
Progressive Jackpot
The Progressive Jackpot bet shall pay based on the player's two hole cards and the five community cards only. It does not matter whether or not the player folds or loses to the dealer. In the event of a straight flush or royal flush on the board, all players who made the Progressive Jackpot bet shall split the win.
The following table shows the probability and contribution to the return for each event. Obviously, the return from the top two awards will depend on the jackpot size, so are treated as unknowns.
Progressive Jackpot
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | Jackpot | 4,324 | 0.000032 | x |
| Straight flush | 10% of Jackpot | 37,260 | 0.000279 | y |
| 4 of a kind | $100.00 | 224,848 | 0.001681 | 0.168100 |
| Full house | $10.00 | 3,473,184 | 0.025961 | 0.259610 |
| Other | $0.00 | 130,044,944 | 0.972047 | 0.000000 |
| Total | $0.00 | 133,784,560 | 1.000000 | 0.487931+x+y |
The table above shows the fixed wins return 42.77% of the amount bet. Assuming the player is playing alone, for every $1,000 in the meter the return will increase by 6.02%. Under the same assumption, the break-even point is $9,503.22. Due to jackpot sharing, the return will go down slightly according to the number of other players making the bet.
Jumbo Jackpot
There is another progressive jackpot called the 'Jumbo Jackpot.' The following table shows the wins, probabilities and the contribution to the return for each type of winning hand.
Jumbo Jackpot
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-card straight flush | ? | 32 | 0.00000024 | x |
| 6-card straight flush | $5,000.00 | 752 | 0.00000562 | 0.028105 |
| 5-card straight flush | $250.00 | 40,800 | 0.00030497 | 0.076242 |
| 4 of a kind | $50.00 | 224,848 | 0.00168067 | 0.084034 |
| Full house | $5.00 | 3,473,184 | 0.02596102 | 0.129805 |
| Flush | $4.00 | 4,047,644 | 0.03025494 | 0.121020 |
| Straight | $2.00 | 6,180,020 | 0.04619382 | 0.092388 |
| Other | $0.00 | 119,817,280 | 0.89559871 | 0.000000 |
| Total | $0.00 | 133,784,560 | 1.00000000 | 0.531593 |
The return for the top award depends on the amount in the jackpot. I can say that all the other wins return 53.16% of money bet. For every 100,000 bet units in the meter the return increases by 2.39%. At a jackpot of $1,958,300.75 the return reaches 100%.
Progressive Jackpot Side Bet
There is yet another side bet based on the player's first two cards and the three-card flop. I put information about it in my page titled Casino Hold Em Progressive Jackpot Side Bet'.
Casino Razz Bonus
I believe this side bet pays according to the poker value of the player's two hole cards and the three cards on the flop -- the lower the poker value, the more it pays. For all the rules and analysis, please see my page on Casino Razz Bonus.
Methodology
The above analysis was performed using a brute force combinatorial program that analyzed all 27,813,810,024,000 possible outcomes, and played every hand according to optimal player strategy. It took my computers about a month to crank though the 27.8 trillion hands.
Casino House Edge Chart
External Links
The web site for Casino Hold'em, as well as other games, is www.casinopokergames.com.
There is a good Casino Hold 'Em calculator at beatingbonuses.com.
Written by:Michael Shackleford