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TriLux

Introduction

TriLux is a side bet in blackjack that depends on the first two cards dealt to the player and the dealer's up card. It has similarities to the traditional side bet but provides the dealer with a fixed bonus for any winning hands. 21+3 This side bet operates using standard decks containing 52 cards.

Rules

  1. Winning hands involve a combination of three cards: the two player cards dealt initially and the dealer’s up card.
  2. Three different tables are provided below. They present the payouts for players based on their wager, as is standard. They also include the 'Lucky George' bonus, which is a flat amount awarded to the dealer regardless of the player's bet size.
  3. You might be curious about the origin of the term 'Lucky George bonus' for the dealer's reward. One explanation could be that a generous customer is referred to as a 'George,' while a less generous one may be termed a 'stiff.' It's also suggested that the dollar bill features George Washington, and during the time this slang was popular, a dollar was considered a decent tip.

Below are three recognized pay tables along with their respective Lucky George bonuses.

I encountered the pay table 4 during my visit to the 7 Cedars casino in Washington on July 28, 2021. I do not recall seeing a Lucky George bonus there, suggesting that it might not be available.

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

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

I've heard about pay table 5 being featured at the Silver Sevens casino in Las Vegas on May 17, 2023.

Pay Table 4

Event Player
Wins
Straight flush 35 to 1
Three of a kind 33 to 1
Straight 10 to 1
Flush 5 to 1

Here is my evaluation of the expected returns for the player based on pay table 1 alongside six decks. The house edge, found in the lower right corner, is calculated to be 12.91%.

Pay Table 5

Event Player
Wins
Mini royal9 to 1
Straight flush9 to 1
Three of a kind9 to 1
Straight9 to 1
Flush9 to 1

Analysis — Pay Table 1

Next, I will analyze the Lucky George bonus available with pay table 1 when using six decks. The dealer's expected earnings, noted in the lower right corner, total approximately £9.68 for every round played.

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

The subsequent table illustrates the projected returns for both players and the dealer, categorized by the number of decks used in pay table 1.

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

Here’s my assessment of the expected return for players utilizing pay table 2 and the six decks of cards. The house advantage seen in the lower right corner is 23.25%.

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

Pay Table 2 — Analyzing Player Outcomes — Utilizing Six Decks

In this section, I will discuss the analysis of the Lucky George bonus from pay table 2 featuring six decks. The dealer can anticipate earning around £16.74 for each hand played, as illustrated in the lower right corner.

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

Pay Table 2 — Lucky George Bonus Analysis — With Six Decks

The forthcoming table includes the anticipated returns for both players and the dealer, arranged by the number of decks for pay table 2.

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

Now, I will present my analysis of the expected return for players based on pay table 3. The house edge, which can be found in the lower right corner of the table, stands at 17.05%.

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

Pay Table 3 — Player Outcome Analysis — Utilized with Six Decks

Following this, I will delve into the Lucky George bonus analysis related to pay table 3 with six decks. As noted in the lower right corner of the table, the dealer can expect to secure £16.74 for each hand played.

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

Pay Table 3 — Lucky George Bonus Analysis — With Six Decks

In the following table, I will demonstrate the expected returns available to both players and dealers categorized by the number of decks under pay table 3.

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

While this site mainly discusses these games from a player's viewpoint, I will deviate slightly with the following tables. They reveal the expected profits according to the size of the player's wagers and the specifics of pay table 1 across six and two decks. It’s important to note that these figures are lower than the previously mentioned house edge as the casino needs to compensate players for winnings and the Lucky George bonuses.

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

House Edge as Seen from the Casino's Viewpoint — Six Decks

House Edge as Seen from the Casino's Viewpoint — Two 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%

The subsequent table provides my analysis of pay table 4, which is based on six decks. The house edge, indicated in the lower right corner, is recorded at 4.41%.

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%

Analysis — Pay Table 4

When considering eight decks under the same pay table, version 4 reflects a house edge of 3.71%.

The next table presents my analysis of pay table 5, evaluated with eight decks, resulting in a house edge of 2.74%.

Event Pays Combinations Probability Return
Mini Royal 100 864 0.000172 0.017234
Straight flush 35 9,504 0.001896 0.066351
Three of a kind 33 26,312 0.005248 0.173198
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 -0.044124

With six decks in play, pay table 5 shows a house edge of 3.24%.

Analysis — Pay Table 5

Strategies that are mathematically sound and information about various casino games such as blackjack, craps, roulette, and many others.

Pay Table 5 Analysis — Eight Decks

Event Pays Combinations Probability Return
Mini Royal 9 2,048 0.000172 0.001547
Straight flush 9 22,528 0.001891 0.017021
Three of a kind 9 64,480 0.005413 0.048717
Straight 9 368,640 0.030947 0.278519
Flush 9 700,928 0.058841 0.529572
Loser -1 10,753,536 0.902736 -0.902736
Total   11,912,160 1.000000 -0.027360

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