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A Baccarat perspective – Part 2

The mathematical advantage of side bets

Ryan Hong-Wai Ho by Ryan Hong-Wai Ho
Tue 29 Apr 2025 at 13:03
A Baccarat perspective – Part 2
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The first part of this series, published in the April issue of IAG, discussed the rise of baccarat in Macau’s gaming industry. Building on that discussion, Ryan Ho continues to examine the latest betting options shaping this iconic casino game.

Macau’s gaming industry is constantly evolving to stay competitive among regional gaming destinations. As local casinos progressively shift towards a more diversified and mass market-friendly gaming landscape, baccarat remains at the forefront, adapting with new variations and side bets to keep players engaged while preserving the core appeal that has made it a casino staple.

Betting on innovation

Tradition and innovation are no longer at odds on casino floors. No-commission baccarat has fast become a cornerstone of mass market growth in Macau casinos. One of the most notable recent trends in Macau casinos is the introduction of new side bet options, such as the latest “Lucky 7” series launched in October 2024. These additions exemplify how local casino operators are determinedly modernizing the traditional casino game to improve player experience and drive gaming revenue.

Baccarat resembling Sic Bo?

Time-honored games and innovative features are merging to reshape the contemporary gaming experience. In recent years, the transformation of baccarat through diverse side bet options mirrors the evolution of sic bo, which has progressed beyond its basic “Big” and “Small” bets to include a rich variety of complex number combinations.

Similarly, baccarat now offers a growing number of side bets with high payout potential. For instance, “Lucky 6” and “Lucky 7” have gained popularity and are observed to enhance player excitement and engagement at the tables. This industry trend reflects what may be described as the “sicbo-lization” of baccarat, where the game’s traditional simplicity is increasingly infused with high-risk, high-return proposition-style elements.

The statistical appeal of side bets

The probability of a winning outcome in baccarat side bets hinges on the final value of a hand. Baccarat side bets are tailored for players who enjoy pursuing substantial payouts and are willing to take on higher risks in return. Among these, the “Lucky” series bets are particularly popular. The underlying probability and payout structure reflect a calculated balance between risk and reward.

Take “Lucky 6”, for instance. When the Banker’s hand totals 6, the chance of winning sits at 5.39%. In comparison, “Lucky 7” wins 8.16% of the time when the Player’s hand totals 7 (Table 1). This suggests that a Player’s winning hand with a total of 7 is statistically more favorable than a Banker’s with 6. As a result, the general “Lucky 6” offers a higher payout than its “Lucky 7” counterpart: 12/20 to 1 versus 6/15 to 1.

Big wins, bigger house edge

At the heart of every casino game lies the house edge – a built-in mathematical advantage that casinos maintain over players. Interestingly, casinos tend to “undercompensate” Lucky 7 winners, thus yielding a higher house edge compared to Lucky 6 (18.30% and 16.68%, respectively). This also illustrates how payout structures are deliberately calibrated to favor the house.

As for “Super Lucky 7”, a rare and exciting baccarat outcome, it occurs when the Player triumphs with a total of exactly 7 against the Banker’s 6. With a probability of 1.899% (fewer than two occurrences per 100 games), this extraordinary win happens infrequently.

To catch players’ attention and ignite their craving for a big win, “Super Lucky 7” offers tempting payouts. The six-card hand scenario appears in about 27 out of every 10,000 games, making its 100-to-1 payout one of the most coveted bets in all casino games. The high returns not only appeal to risk-seeking players but also reflect the rarity of this winning scenario. Table 2 presents the payouts and house edge for major betting propositions in baccarat.

It should be noted that the house edge is a theoretical percentage representing a casino’s long-term expected wins based on game rules and probabilities. In contrast, the actual hold is precisely the percentage of total wagers that the casino actually retains over a given period. While the house edge remains constant for a given game, the hold percentage fluctuates due to player behavior, bet sizes and short-term variance in game outcomes. In practice, Macau casinos typically hold a win percentage of over 20% in the mass gaming market.

More than a side bet

The development of baccarat side bets reflects a broader industry trend: expanding traditional casino games with innovative betting options designed to drive player interest, increase revenue potential and keep Macau’s gaming products competitive among emerging gaming destinations.

Unlike major shifts in game formats, side bets allow casinos to introduce fresh elements without disrupting the core gameplay that players are accustomed to. They provide an added layer of excitement and give players the opportunity to win big payouts with relatively small wagers.

While betting on the “Banker” and “Player” remains prevalent, side bets are increasingly attracting baccarat players’ attention, either out of greed or as a means of “hedging” their basic betting propositions. On casino floors, it is not uncommon to witness players placing bets on various “Lucky” options, seeking additional opportunities for profit beyond traditional bets.

The casual thrills

As noted in the first part of this series, visiting a casino should feel (and ideally be) like stepping into a theme park – both offer excitement, anticipation and the thrill of the unknown. Just as visitors eagerly buy tickets for a magical adventure, casino players place their bets for a chance to chase extraordinary wins and dream big. Unlike hardcore gamblers and high rollers, casual players are less focused on strategy and more on sensation. They are more likely to gravitate towards heart-racing experiences and the prospect of a life-changing win, making every game a thrilling ride and an unforgettable leisure activity.

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Ryan Hong-Wai Ho

Ryan Hong-Wai Ho

Ryan Hong-Wai Ho is a lecturer at the Centre for Gaming and Tourism Studies, Macao Polytechnic University. Prior to his academic career, He held various positions in gaming and finance. His research interests are gaming policy and regulation, casino operations, and human resources in tourism and hospitality. The author can be contacted at: ryanho@mpu.edu.mo.

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