- Appendices
- Miscellaneous
- External Links
- Craps (version 2) - Part 3 of 5: Video for the new Craps tutorials, Sucker Bets. AUG 7 Vegas 2066: Fiction about a reclusive individual fifty years in the future and how the game of craps opens him up to the possibilities in the, 'Real world' JUL 29 Craps (version 2) - Part 2 of 5: Part 2 Video for the new Craps tutorials; View All.
- How I Made $24,000+ Playing Craps! Triple Lux Craps System – Par. Read Later; Add to Favourites; Add to Collection; Hot Turn $200 into $1500 at Craps with.
- Cpt Jack Sorrow / / Lv. A rating system that measures a users performance within a game by combining stats related to role, laning phase, kills / deaths / damage / wards / damage to objectives etc.
Introduction
Alright, so I stumbled upon that post about triple lux yesterday and decided to try it out on my current trip in Vegas. Disclaimer: I like to shoot dice but I’m doing it for fun and don’t really care if I win or lose. I played at El Cortez last night and bought in for 350. I generally tried the following system.
TriLux is a blackjack side bet based on the first two player cards and the dealer up card. It is similar to the 21+3 side bet, except adds a fixed bonus for the dealer on any winning hand.Rules
- The side bet is based on the use of ordinary 52-card decks.
- Winning hands are based on three cards — the initial two player cards and the dealer up card.
- There are three tables, as shown below. They show the pay table for the player, which is based on the bet amount, as usual. They also show the 'Lucky George,' which is a flat win paid to the dealer, regardless of the bet amount.
You may be wondering why the award to the dealer is called a 'Lucky George bonus.' All I know for sure is that a good tipper is called a 'George.' Meanwhile, a stingy tipper is called a 'stiff.' One theory is that a dollar bill features George Washington, and at the time that the saying caught on $1 was still a good tip.
Following are three known pay tables and Lucky George bonuses.
Pay Table 1
| Event | Player Wins | Lucky George |
|---|---|---|
| Straight flush | 8 to 1 | $1 |
| Three of a kind | 8 to 1 | $1 |
| Straight | 8 to 1 | $1 |
| Flush | 8 to 1 | $1 |
Pay Table 2
| Event | Player Wins | Lucky George |
|---|---|---|
| Straight flush | 25 to 1 | $10 |
| Three of a kind | 15 to 1 | $5 |
| Straight | 8 to 1 | $2 |
| Flush | 5 to 1 | $1 |
Craps Triple Lux Bar
Pay Table 3
| Event | Player Wins | Lucky George |
|---|---|---|
| Straight flush | 25 to 1 | $10 |
| Three of a kind | 15 to 1 | $5 |
| Straight | 10 to 1 | $2 |
| Flush | 5 to 1 | $1 |
Analysis — Pay Table 1
Following is my analysis of the player's expected return of pay table 1 and six decks. The lower right cell shows a house advantage of 12.91%.
Pay Table 1 — Player Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 8 | 10,368 | 0.002068 | 0.016545 |
| Three of a kind | 8 | 26,312 | 0.005248 | 0.041987 |
| Straight | 8 | 155,520 | 0.031021 | 0.248171 |
| Flush | 8 | 292,896 | 0.058424 | 0.467388 |
| Loser | -1 | 4,528,224 | 0.903239 | -0.903239 |
| Total | 5,013,320 | 1.000000 | -0.129147 |
Following is my analysis of the Lucky George bonus of pay table 1 and six decks. The lower right cell shows the dealer can expect to get ¢9.68 for every hand played.
Pay Table 1 — Lucky George Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | $1 | 10,368 | 0.002068 | $0.002068 |
| Three of a kind | $1 | 26,312 | 0.005248 | $0.005248 |
| Straight | $1 | 155,520 | 0.031021 | $0.031021 |
| Flush | $1 | 292,896 | 0.058424 | $0.058424 |
| Total | 5,013,320 | 1.000000 | $0.096761 |
The next table shows the expected return for both the player and dealer by number of decks under pay table 1.
Pay Table 1 — House Edge
| Decks | Player Return | Dealer Return |
|---|---|---|
| 2 | -0.165356 | $0.092738 |
| 4 | -0.138195 | $0.095756 |
| 5 | -0.132766 | $0.096359 |
| 6 | -0.129147 | $0.096761 |
| 8 | -0.124624 | $0.097264 |
Analysis — Pay Table 2
Following is my analysis of the player's expected return of pay table 2 and six decks of cards. The lower right cell shows a house advantage of 23.25%.
Craps Triple Lux Vs
Pay Table 2 — Player Analysis — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 25 | 10,368 | 0.002068 | 0.051702 |
| Three of a kind | 15 | 26,312 | 0.005248 | 0.078726 |
| Straight | 8 | 155,520 | 0.031021 | 0.248171 |
| Flush | 5 | 292,896 | 0.058424 | 0.292118 |
| Loser | -1 | 4,528,224 | 0.903239 | -0.903239 |
| Total | 5,013,320 | 1.000000 | -0.232521 |
Following is my analysis of the Lucky George bonus of pay table 2 with six decks. The lower right cell shows the dealer can expect to get ¢16.74 for every hand played.
Pay Table 2 — Lucky George Analysis — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | $10 | 10,368 | 0.002068 | $0.020681 |
| Three of a kind | $5 | 26,312 | 0.005248 | $0.026242 |
| Straight | $2 | 155,520 | 0.031021 | $0.062043 |
| Flush | $1 | 292,896 | 0.058424 | $0.058424 |
| Total | 5,013,320 | 1.000000 | $0.167389 |
The next table shows the expected return for both the player and dealer by number of decks under pay table 2.
Pay Table 2 — House Edge
| Decks | Player Return | Dealer Return |
|---|---|---|
| 2 | -0.266529 | $0.159338 |
| 4 | -0.241138 | $0.165330 |
| 5 | -0.235977 | $0.166562 |
| 6 | -0.232521 | $0.167389 |
| 8 | -0.228185 | $0.168430 |
Analysis — Pay Table 3
Following is my analysis of the player's expected return of pay table 3. The lower right cell shows a house advantage of 17.05%.
Pay Table 3 — Player Analysis — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 25 | 10,368 | 0.002068 | 0.051702 |
| Three of a kind | 15 | 26,312 | 0.005248 | 0.078726 |
| 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 | -0.170479 |
Following is my analysis of the Lucky George bonus of pay table 3 and six decks. The lower right cell shows the dealer can expect to get ¢16.74 for every hand played.
Pay Table 3 — Lucky George Analysis — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | $10 | 10,368 | 0.002068 | $0.020681 |
| Three of a kind | $5 | 26,312 | 0.005248 | $0.026242 |
| Straight | $2 | 155,520 | 0.031021 | $0.062043 |
| Flush | $1 | 292,896 | 0.058424 | $0.058424 |
| Total | 5,013,320 | 1.000000 | $0.167389 |
The next table shows the expected return for both the player and dealer by number of decks under pay table 3.
Pay Table 3 — House Edge
| Decks | Player Return | Dealer Return |
|---|---|---|
| 2 | -0.203268 | $0.159338 |
| 4 | -0.178794 | $0.165330 |
| 5 | -0.173814 | $0.166562 |
| 6 | -0.170479 | $0.167389 |
| 8 | -0.166292 | $0.168430 |
Combined Casino Cost
Although this site usually looks at games from the player's perspective, I will break from that with the following tables. They show the expected profit according to the amount of the player's bet and the pay table for six and two decks. These figures are lower than the house edge figures in the tables above because the casino must pay the player winnings and the Lucky George bonus.
House Edge from Casino Perspective — Six Decks
| Bet | Pay Table 1 | Pay Table 2 | Pay Table 3 |
|---|---|---|---|
| $100 | 12.82% | 23.08% | 16.88% |
| $50 | 12.72% | 22.92% | 16.71% |
| $25 | 12.53% | 22.58% | 16.38% |
| $20 | 12.43% | 22.42% | 16.21% |
| $15 | 12.27% | 22.14% | 15.93% |
| $10 | 11.95% | 21.58% | 15.37% |
| $5 | 10.98% | 19.90% | 13.70% |
| $3 | 9.69% | 17.67% | 11.47% |
| $2 | 8.08% | 14.88% | 8.68% |
| $1 | 3.24% | 6.51% | 0.31% |
House Edge from Casino Perspective — Two Decks
| Bet | Pay Table 1 | Pay Table 2 | Pay Table 3 |
|---|---|---|---|
| $100 | 16.44% | 26.49% | 20.17% |
| $50 | 16.35% | 26.33% | 20.01% |
| $25 | 16.16% | 26.02% | 19.69% |
| $20 | 16.07% | 25.86% | 19.53% |
| $15 | 15.92% | 25.59% | 19.26% |
| $10 | 15.61% | 25.06% | 18.73% |
| $5 | 14.68% | 23.47% | 17.14% |
| $3 | 13.44% | 21.34% | 15.02% |
| $2 | 11.90% | 18.69% | 12.36% |
| $1 | 7.26% | 10.72% | 4.39% |
External Links
- Wizard of Vegas — Discussion of this side bet.
Written by: Michael Shackleford
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