- Appendices
- Miscellaneous
- External Links
Version 1
Version 1 of 21+3 I noticed at the Las Vegas Hilton in April, 2001. The side bet pays based on the player's first two cards and the dealer's up card. If the three cards equal a flush, straight, straight flush, or three of a kind the side bet pays 9 to 1. The following table shows the probability of each hand in a six-deck game,as played at the Hilton.
21+3 — 6 decks
| Hand | Combinations | Probability | Pays | Return |
|---|---|---|---|---|
| Straight flush | 10368 | 0.002068 | 9 to 1 | 0.018613 |
| Three of a kind | 26312 | 0.005248 | 9 to 1 | 0.047236 |
| Straight | 155520 | 0.031021 | 9 to 1 | 0.279192 |
| Flush | 236736 | 0.047221 | 9 to 1 | 0.424993 |
| Pair+flush | 56160 | 0.011202 | 9 to 1 | 0.100819 |
| Pair (no flush) | 977184 | 0.194918 | Loss | -0.194918 |
| Nothing | 3551040 | 0.708321 | Loss | -0.708321 |
| Total | 5013320 | 1 | -0.032386 |
How to Play 21/Blackjack: The goal of 21 is to amount your card values as near to 21 as possible without exceeding or 'busting' it. Moreover, you have to beat whatever hand both the dealer and other players have drawn; if they have 20 and you have 19, you lose the hand. Get a casino quality Blackjack experience right on your iPhone, iPad, or iPod Touch! Download Blackjack 21+ and double down for intense gambling action with up to three hands at once. Play and feel like a. 21+3 Blackjack strategy. In most online blackjack games that offer a side bet the goal is to lower the odds for the player. The overall percentage in 21+3 blackjack is 99.70% which means that the casino returns a shade over 0.99 cents on each dollar wagered. By enticing players to make the three-card side bet the online casino lowers that number.
Following is the house edge for 4, 6, and 8 decks.
- 4 decks — 4.24%
- 6 decks — 3.24%
- 8 decks — 2.74%
Version 2
At the Regent (now known as the Rampart) in Las Vegas all hands listed above, plus a pair, pay 5 to 2. I'll call this version 2. Two decks are used in this version. The following table shows a house edge under these rules of 2.78%.
21+3 — 2 decks
| Hand | Combinations | Probability | Pays | Return |
|---|---|---|---|---|
| Straight flush | 384 | 0.002109 | 2.5 to 1 | 0.005272 |
| Three of a kind | 728 | 0.003998 | 2.5 to 1 | 0.009994 |
| Straight | 5760 | 0.03163 | 2.5 to 1 | 0.079076 |
| Flush | 8768 | 0.048148 | 2.5 to 1 | 0.120371 |
| Pair | 34944 | 0.19189 | 2.5 to 1 | 0.479726 |
| Nothing | 131520 | 0.722225 | Loss | -0.722225 |
| Total | 182104 | 1 | -0.027786 |
Version 3
I have an unconfirmed report that Internet casinos using Wagerworks software use the following pay table, which I will call 'Version 3.'
21+3 — Version 3 — Six Decks
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited three of a kind | 100 | 1040 | 0.000207 | 0.020745 |
| Three of a kind | 33 | 25272 | 0.005041 | 0.166352 |
| Straight flush | 35 | 10368 | 0.002068 | 0.072383 |
| Straight | 10 | 155520 | 0.031021 | 0.310214 |
| Flush | 5 | 292896 | 0.058424 | 0.292118 |
| Loss | -1 | 4528224 | 0.903239 | -0.903239 |
| Total | 5013320 | 1 | -0.041427 |
Although Wager Works only uses six decks in their blackjack game, as far as I know, here is the house edge for 3 to 8 decks.
21+3 — Version 3 — 3-8 Decks
| Decks | House Edge |
|---|---|
| 3 | 7.76% |
| 4 | 5.99% |
| 5 | 4.89% |
| 6 | 4.14% |
| 7 | 3.60% |
| 8 | 3.18% |
Version 4
This version, with a 30-20-10-5 pay table, is known as '21+3 Xtreme.' The following return table shows the house edge for six decks is 13.39% (ouch!).
21+3 — Version 4 — Six Decks
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 30 | 10,368 | 0.002068 | 0.062043 |
| Three of a kind | 20 | 26,312 | 0.005248 | 0.104968 |
| Straight | 10 | 155,520 | 0.031021 | 0.310214 |
| Flush | 5 | 292,896 | 0.058424 | 0.292118 |
| Loser | -1 | 4,528,224 | 0.903239 | -0.903239 |
| Total | 5,013,320 | 1.000000 | -0.133896 |
If you happen to see it with other than six decks, here is the expected value for various number of decks.
21+3 — Version 4 -- 1 to 8 Deck Summary
| Decks | Expected Value |
|---|---|
| 1 | -0.227330 |
| 2 | -0.172736 |
| 4 | -0.143780 |
| 5 | -0.137863 |
| 6 | -0.133896 |
| 8 | -0.128912 |
The Caesars Entertainment Blog mentions that the xtreme version of 21+3 can be found in the Party Pit at the Paris casino in Las Vegas. I had to chuckle at their sense of humor with this remark,
'We would calculate the odds of hitting these side bets, but being in Vegas isn't about math, it's about having fun. And just never-you-mind that this is the blog of a casino company. Check out the new Ooh La La Party Pit at Paris Las Vegas the next time you’re in the neighborhood.
Hey, it is about the math everywhere, even in the Party Pit!
Version 5
Casino 21 Card Game Rules
I saw this version at an Internet casino using live dealers from Evolution Gaming. Following is the return table, based on eight decks.
21+3 — Version 5 — 8 Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited three of a kind | 100 | 2,912 | 0.000244 | 0.024446 |
| Straight flush | 40 | 24,576 | 0.002063 | 0.082524 |
| Three of a kind | 25 | 61,568 | 0.005169 | 0.129213 |
| Straight | 10 | 368,640 | 0.030947 | 0.309465 |
| Flush | 5 | 700,928 | 0.058841 | 0.294207 |
| Loser | -1 | 10,753,536 | 0.902736 | -0.902736 |
| Total | 11,912,160 | 1.000000 | -0.062882 |
Following is the house edge for this pay table for various numbers of decks.
- 4 decks: 8.78%
- 5 decks: 7.81%
- 6 decks: 7.14%
- 7 decks: 6.29%
Version 6
I have an unconfirmed report that the Ameristar in Kansas City is using the following pay table with two decks.
21+3 — Version 6 — 2 Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 7 | 384 | 0.002109 | 0.014761 |
| Three of a kind | 7 | 728 | 0.003998 | 0.027984 |
| Straight | 7 | 5,760 | 0.031630 | 0.221412 |
| Flush | 7 | 10,016 | 0.055002 | 0.385011 |
| Pair | 0 | 33,696 | 0.185037 | 0.000000 |
| Loser | -1 | 131,520 | 0.722225 | -0.722225 |
| Total | 182,104 | 1.000000 | -0.073057 |
The next table shows the house edge of the Version 6 pay table by number of decks.
21+3 — Version 6
Version 7
This pay table I hear is used by live dealer casinos by Evolution Gaming, which use eight decks.
21+3 — Version 7 — 8 Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Suited three of a kind | 100 | 2,912 | 0.000244 | 0.024446 |
| Straight flush | 40 | 24,576 | 0.002063 | 0.082524 |
| Three of a kind | 30 | 61,568 | 0.005169 | 0.155055 |
| Straight | 10 | 368,640 | 0.030947 | 0.309465 |
| Flush | 5 | 700,928 | 0.058841 | 0.294207 |
| Loser | -1 | 10,753,536 | 0.902736 | -0.902736 |
| Total | 11,912,160 | 1.000000 | -0.037039 |
Here is the house edge for four and six decks.
- Four decks: 6.39%
- Six decks: 3.70%
Written by: Michael Shackleford
Why 21Grand Casino
Simply said, 21Grand Casino has a little bit of everything that caters to all your gaming needs. Showcasing that well-loved European flair every gamer wants, we are no doubt the number one destination for casino aficionados everywhere. Here in our site, players are satisfied, because all they have to worry about is playing and winning. The same goes for payments. 21Grand Casino welcomes both traditional currency and Bitcoin deposits, which makes it accessible to players from any part of the globe. We don’t need to compare ourselves to other casinos because we know we are like no other.
From our games, promos, to our banking transactions, you can count that 21Grand Casino has only the best service to give you. Any question or inquiry is immediately addressed by our excellent customer service support. If you’re still in doubt, here are more reasons why we are a necessity.
Get 21Grand Casino Now!
That’s why you should not hesitate and download 21Grand Casino to access all our exciting offers and services. We assure you that we deliver exactly what we promise. Gain access to over 150 games and play to your heart’s content with our casino software.
- Click on the Download button.
- exe would instantly start downloading in your browser.
- Run or Save the program. If you click Run, the casino would automatically install itself on your computer. Should you click Save, you would have to go to your desktop and double-click the 21Grand Casino icon to start the installation process.
- Register all your details to create your unique account.
- Fund your gaming account using any of the deposit methods. You’re welcome to use fiat currencies or Bitcoin.
- Smile for a job well done and finally play 21Grand Casino!
On the other hand, our site also features a limited section of games that you can play on your web browser. You can play over hundreds of our games via flash version or instant play. You can still access your account even if you’re not home in front of your PC.
If you’re following us on Facebook, you should know that our 21Grand Casino mobile app is set to arrive soon. The app would be available to both iOS and Android users. Stay tuned for more info.
Grand Games
You don’t have to worry if our games are legit or not. 21Grand Casino games are powered by Rival Gaming software, so you can rest assured that all our systems are unbiased and secure. We have an exciting collection waiting to be played by you. You can choose any game according to your specific taste. You just might win playing your preferred game!
Slots Games
Perhaps a crowd favourite among casino players everywhere, slots games are simple and fun. Although seemingly effortless, our slots games give opportunities to everyone to reap crazy rewards. With just a small betting amount, anyone can win millions at the end of the day in classic casino style.
Hence, it’s a no-no to miss the must-try I-Slots, the pioneer in interactive slot games. Other than the colorful and detailed graphics, each of this innovative slots games come with their own exciting stories, interesting characters, and different endings. You can expect plenty of 21 Grand bonus rounds and other mini games that are just as interactive. Our players love to play these because each game is exclusive to the players’ tastes.
These are some of our recommended titles: Spy Game, Japan-O-Rama, Fixer Upper, and Reel Crime.
Video Poker
Video poker games are exceedingly popular with online casino and Bitcoin video poker players due to the possibility of doubling the prize money after each win. Test your luck and skill with our Aces and Faces, Jacks or Better, or Deuces Wild.
Special Games
Longing to play Bingo or Keno? How about a Sudoku Box game? Our specialty games are just as fun as the real thing. This means you will never run out of 21Grand Casino games to play!
Other than these three hot categories, we still have Classic Slots, Progressive Jackpot Games, Table Games, and Live Dealer games. Everyone has something to play in our casino!
21 Card Game Casino
21Grand Promos
We wouldn’t be a well-known casino if we didn’t have amazing offers for our valuable players. Brace yourself because these are only the cherries on top of the 21Grand Casino experience.
- Interested in 21Grand no deposit bonus? How about 21Grand free spins? We are generous to our new players, presenting them with great welcome bonus packages. We give as much as 300% bonus up to £/€/R/$2000!
- If you’re crazy for slots, then our Crazy Slots Tournament is perfect for you. Every Thursday to Friday mornings, we offer three match bonuses. You can get either the 101%, 202% or 303% bonus. The prize money is up to £/€/R/$1,000!
Regularly check your 21Grand account and you’ll see that we will offer you weekly promos which include chances to join weekly raffles, cash prizes, and cashbacks. And speaking of cashbacks, all our players receive 17% cashback bonuses every month. VIP players get as much as 20-30%.
That’s why if you’re a loyal player, surely you can expect more from us! We reward our loyal players with complimentary points or comp-points every time you play. When you save enough, you can redeem them into cash money. That’s more reason to keep on playing!
21Grand Cashier
21 Casino Game Rules
Finally, 21Grand Casino payment options are simply convenient and trustworthy. Our players wouldn’t invest so much time and money if they doubted the quality of our service. We make it a point to give our players ultimate transparency when it comes to their gaming and transactions.
Should you make your first deposit now, here is a list of our safe and supported banking systems: Visa, Mastercard, American Express, iDeal and UKash. If you want to deposit and withdraw, you can do so with the following alternative methods: UseMyBank, Skrill, Neteller, ClickandBuy, and Eco Card. In addition, Bitcoin users can also use the Bitcoin-accepting alternative payments to convert their crypto coins, which is as good as cash.
For as long as you have provided your correct identification details and practice responsible gambling and gaming, we assure you that all your transactions with us will be hassle- and worry-free.
Don’t be surprised if we keep on spoiling you with our grand benefits and perks. We want you to feel at home and happy with 21Grand Casino. What more can you ask for in an online casino? 21Grand Casino doesn’t want you to have fun anywhere else. Let us give you the grandest casino gaming experience of your life. Download 21Grand Casino now!