Craps Triple Lux

2021年4月11日
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*Appendices
*Miscellaneous
*External LinksIntroductionTriLux 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
After double-tapping the place bets and winning at least twice, start triple-luxing the bets; after hitting a number, immediately power press the winnings onto the place bet. Repeat the power press a third time after hitting the number again, then collect the winnings if it hits again, then regress the bet. This strategy is fully described in the book - Automatic Craps. You should have a copy of this book by now as this publication - Diane’s Craps Cheat Sheets, is distributed as part of the complete toolkit including the Automatic Craps Strategy. If you haven’t yet done so, you should read the Automatic Craps Strategy.
*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 1EventPlayerWinsLuckyGeorge 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 2EventPlayerWinsLuckyGeorge Straight flush 25 to 1 $10 Three of a kind 15 to 1 $5 Straight 8 to 1 $2 Flush 5 to 1 $1 Pay Table 3EventPlayerWinsLuckyGeorge 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 AnalysisEventPaysCombinationsProbabilityReturn 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 AnalysisEventPaysCombinationsProbabilityReturn 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 EdgeDecksPlayerReturnDealerReturn 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%. Pay Table 2 — Player Analysis — Six DecksEventPaysCombinationsProbabilityReturn 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 DecksEventPaysCombinationsProbabilityReturn 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 EdgeDecksPlayerReturnDealerReturn 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 DecksEventPaysCombinationsProbabilityReturn 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 DecksEventPaysCombinationsProbabilityReturn 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 EdgeDecksPlayerReturnDealerReturn 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 DecksCraps Triple Lux BarBetPayTable1PayTable2PayTable3 $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 DecksBetPayTable1PayTable2PayTable3 $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% Craps Triple Lux LoungeExternal LinksCraps Triple Lux Car Wash
*Wizard of Vegas — Discussion of this side bet. Craps Triple LuxeWritten by: Michael Shackleford
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