- Appendices
- Miscellaneous
- External Links
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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
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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 |
Following is the house edge for 4, 6, and 8 decks.
- 4 decks — 4.24%
- 6 decks — 3.24%
- 8 decks — 2.74%
Bso 21 Blackjack Strategy
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
Bso 21 Blackjack Game
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
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
Bso 21 Blackjack Rules
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. What are your chances of winning on slot machines.
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 |
Bso 21 Blackjack Free
Here is the house edge for four and six decks.
- Four decks: 6.39%
- Six decks: 3.70%
Written by: Michael Shackleford21+3 Blackjack is a very popular side bets blackjack variation, invented and patented by Derek J. Webb in 2000
It is considered one of the latest additions and therefore it is not offered by most blackjack sites. Nevertheless, there are 3 versions of 21+3 Blackjack available online and we are sure that more to come.
Content1. Game reviews
2. 21+3 payout variations
3. Where to Play
4. 21+3 rules
5. Online games comparison
6. Summary
Game Reviews & Free Play
21+3 Payouts
21 plus 3 Blackjack has two common payout tables which you can find below, however some casinos offer their own rule sets. If you encounter any discrepancies, we recommend that you check the appropriate house edge before you proceed.
*We've also added option #3 since it's the one used in IGT online casinos. The odds are calculated based on 6 deck games.
Option #1
Flush – 5:1
Straight – 10 to 1
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 |
Bso 21 Blackjack Free
Here is the house edge for four and six decks.
- Four decks: 6.39%
- Six decks: 3.70%
Written by: Michael Shackleford21+3 Blackjack is a very popular side bets blackjack variation, invented and patented by Derek J. Webb in 2000. The game is a combination of blackjack and three card poker, where your first 2 cards and the dealer's face up card are used to combine a three card hand. If you are familiar with Perfect Pairs, then you can look at 21+3 as its further development.
It is considered one of the latest additions and therefore it is not offered by most blackjack sites. Nevertheless, there are 3 versions of 21+3 Blackjack available online and we are sure that more to come.
Content1. Game reviews
2. 21+3 payout variations
3. Where to Play
4. 21+3 rules
5. Online games comparison
6. Summary
Game Reviews & Free Play
21+3 Payouts
21 plus 3 Blackjack has two common payout tables which you can find below, however some casinos offer their own rule sets. If you encounter any discrepancies, we recommend that you check the appropriate house edge before you proceed.
*We've also added option #3 since it's the one used in IGT online casinos. The odds are calculated based on 6 deck games.
Option #1
Flush – 5:1
Straight – 10 to 1
3 of a kind – 30 to 1
Straight flush – 40 to 1
Suited three of a kind – 100 to 1
Odds: 95.38%
Option #2
Flush – 9 to 1
Straight – 9 to 1
Three of a kind – 9 to 1
Straight Flush – 9 to 1
Odds: 96.76%
Option #3
Flush – 5:1,
Straight – 10 to 1,
3 of a kind – 33 to 1,
Straight flush – 35 to 1
Suited three of a kind – 100 to 1.
Odds: 95.86%
Where to Play
Casino | Bonus | Why it's here | Best Game |
---|---|---|---|
100% up to $1000 | Best for USA and AUS casino | Single Deck – 0.08% house edge | |
100% up to £/$/€ 100 | Best for UK, Canada and EU | Classic Blackjack – 0.21% house edge | |
150% up to $1500 | Highest USA Blackjack Bonus | N/A |
21+3 Blackjack Rules
21+3 is based on European blackjack rules, meaning that the dealer doesn't check for blackjack. Therefore in case the dealer has a natural, your doubles and splits will be lost as well. Other rules:
- Usually played with 6 standard decks.
- Dealer stands on all 17s.
- Double down rules vary, but usually you can double on 9,10, 11 value.
- Doubled down hands receive one card.
- Split up to 2 hands, including Aces.
- You can hit or double split hands, including Aces.
- Blackjack pays 3:2
- Similar value hands are push.
The house edge under these rules is 0.48%.
Blackjack 21+3 Online Games Comparison
There are three 21+3 games available online. The first can be found in Wagerworks (IGT) casinos. The second one was developed by Felt Gaming and can be found only in Unibet casino. The third one is a live dealer game by Evolution Gaming.
Basic Game Rules
We will mention only the rules that differ from the common ones listed above.
IGT (Wagerworks): You can split two 3 hands and re-split Aces. Double down on any 2 cards.
Felt Gaming: Standard rules
Evolution: Played with 8 decks. Also offers Perfect Pairs side bet. Double down on any 2 cards. Single card to split Aces.
21+3 Bonus Comparison
Evolution: Standard Option #1, but played with 8 decks which lowers the side bets house edge by roughly 1%.
Felt: Standard Option #1.
IGT (Wagerworks): Option #3.
Bottom Line
Wagerworks (IGT)
Base Game: 99.70%
Side Bets: 95.86%
Evolution Gaming
Base Game: 99.41%
Side Bets: 96.38%
Update: Realistic Games also offer 21+3 blackjack. The special rules are: based on American Blackjack (dealer checks for blackjack). Double down on any 2 cards. Split Aces receive only 1 card. Bonus payouts are as on Option #1, except the 3 of a Kind which pays 25:1. Under these rules basic odds are 99.59%. The side bet odds are extremely low, just 92%.