- 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
Weigh the odds and place your bets - it's 21 or bust! Count on a fun online game of Blackjack. Play for free online! Trucos De Blackjack 21 in the sports betting world. Another major event in the regulatory landscape in the U.S. Include the passing of a law making all real money online gambling financial transactions illegal. This Trucos De Blackjack 21 one shook the Trucos De Blackjack 21 industry to the Trucos De Blackjack 21. Weigh the odds and place your bets - it's 21 or bust! Count on a fun online game of Blackjack. Play for free online! Search MSN Games. Genre: Card & Casino. If you like Blackjack, you'll love Microsoft Bubble! Beat the dealer! Make your bet, and you're dealt two cards.
| 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%
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
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
- 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
Weigh the odds and place your bets - it's 21 or bust! Count on a fun online game of Blackjack. Play for free online! Trucos De Blackjack 21 in the sports betting world. Another major event in the regulatory landscape in the U.S. Include the passing of a law making all real money online gambling financial transactions illegal. This Trucos De Blackjack 21 one shook the Trucos De Blackjack 21 industry to the Trucos De Blackjack 21. Weigh the odds and place your bets - it's 21 or bust! Count on a fun online game of Blackjack. Play for free online! Search MSN Games. Genre: Card & Casino. If you like Blackjack, you'll love Microsoft Bubble! Beat the dealer! Make your bet, and you're dealt two cards.
| 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%
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
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
Le vamos a proporcionar algunos trucos de blackjack para que pueda aumentar la probabilidad de ganar.
Para empezar le sugerimos que consiga un Bono elevado, sí es la primera vez que va a jugar on line, los reconocerá también como Bonos de Bienvenida. Chequee que el Bono se puede cobrar en efectivo, asi puede ser transformado en dinero en su cuenta.
Otro tip: Jugando blackjack con la estrategia básica, el jugador tiene una ventaja de 1 % a su favor, contra el casino.
Los trucos de blackjack tienen mucho de estadística. Básicamente no apueste grandes cantidades de dinero, sino que apueste poco dinero a lo largo de varias manos, esto le dará ganancias aunque no una fortuna. Es muy importante que deje sus nervios en casa, porque en la mesa de blackjack pueden traicionarlo.
No haga caso de los que dicen que puede utilizar el Conteo de Naipes como uno de los trucos de blackjack, ya que no es útil debido a que las cartas se mezclan antes del comienzo de cada mano.
Sí el primer naipe que se reparte es un As, tendrá una ventaja del 52 % contra el casino.
Blackjack 21 24/7
Sí la suma de sus cartas es 16, pida una carta adicional, ya que no podrá ganar, a menos que el crupier se pase. En caso de que la carta del crupier sea 4, 5 o 6 puede plantarse porque es probable que se pase de 21.
Si la carta del crupier es 2, 3, 7, o más, sigue pidiendo cartas hasta sumar 12.
Trucos De Blackjack 21 Card Game
BlackJack
