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Pan N9ne
Introduction
Pan N9ne can be thought of as a more straightforward iteration of baccarat. This game is straightforward, quick-paced, and easy to pick up. I first came across it when it was introduced at the Palace Station in Las Vegas in June 2022.
Rules
- The game can utilize any number of standard 52-card decks; for this discussion, I will assume the use of either six or eight decks.
- The point values assigned to the cards mirror those used in baccarat, outlined as follows:
- Ace = 1 point.
- 2-9 = Pip value.
- 10s and faces = 0 points.
- To determine the score of a hand containing multiple cards, sum the point values of all the cards. If the resulting total is 10 or greater, discard the tens digit. For instance, if a player has a hand of 5-6-7, the total amounts to 18, leading to a score of 8 points after eliminating the tens.
- The game initiates when the player places an Ante wager. At this point, the player also has the option to place additional Tie and Dragon side bets.
- The dealer is then responsible for dealing two cards each to the player and themselves, with the player’s cards facing upward and the dealer’s cards facing downward.
- Players have the choice to either draw a third card or opt to stand.
- The dealer shall expose his cards.
- Should the dealer's initial score with two cards be 5 or lower, they will draw an additional card.
- The outcome is determined by which side accrues a higher point total.
- If the player has more points, the Ante bet is successful and pays out at even money. However, if the player wins with a total of six points using three cards, the Ante bet will push.
- Conversely, if the dealer holds a higher score, the Ante bet is lost.
- In the event of a tie between the player and dealer, the Ante bet also results in a push.
- The Tie bet is successful when the player and dealer have equal scores; otherwise, it results in a loss.
- For the Dragon bonus to pay out, the player must win by at least a 5-point margin, with the payout size determined by that margin based on the table provided.
Dragon Pay Table
Margin of Player Victory |
Pays |
---|---|
9 | 15 |
8 | 8 |
7 | 6 |
7 | 4 |
5 | 2 |
All other | -1 |
Baccarat enthusiasts should note that there is no special rule for achieving a 'natural' score of 8 or 9 points, as both participants can still draw a third card.
Strategy
To reduce the house advantage on the Ante bet, players should adopt the dealer's approach: hitting with 5 points or fewer and standing with 6 or more.
Holding a total of five presents a difficult decision, but statistically, it's slightly beneficial to hit again. Standing on five increases the house edge by 0.02%.
Ante Analysis
The table below outlines the likelihood and expected return percentage for the Ante bet when using six decks of cards; the last cell on the right indicates a house edge of 2.05%.
Ante Return Table — Six Decks
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player (except with three-card 6) | 1 | 372,282,196,157,568 | 0.423592 | 0.423592 |
Player with three-card 6 | 0 | 18,039,211,873,920 | 0.020525 | 0.000000 |
Tie | 0 | 98,226,390,832,704 | 0.111765 | 0.000000 |
Dealer | -1 | 390,321,408,031,488 | 0.444118 | -0.444118 |
Total | 878,869,206,895,680 | 1.000000 | -0.020525 |
The subsequent table details the probability and expected return for the Ante bet when eight decks are used; the far-right cell shows a house edge of 2.05%. Notably, if the player consistently opts to stand on five, the edge would rise to 2.07%.
Ante Return Table — Eight Decks
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Player (except with three-card 6) | 1 | 2,117,008,374,859,770 | 0.423537 | 0.423537 |
Player with three-card 6 | 0 | 102,634,053,576,704 | 0.020533 | 0.000000 |
Tie | 0 | 559,113,418,630,400 | 0.111859 | 0.000000 |
Dealer | -1 | 2,219,642,428,436,480 | 0.444071 | -0.444071 |
Total | 4,998,398,275,503,350 | 1.000000 | -0.020533 |
Tie Analysis
Data for the Tie bet using six decks is in the table below, which shows a house edge of 10.59% in the bottom right.
Tie Return Table — Six Decks
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 7 | 98,226,390,832,704 | 0.111765 | 0.782352 |
Loss | -1 | 780,642,816,062,976 | 0.888235 | -0.888235 |
Total | 878,869,206,895,680 | 1.000000 | -0.105884 |
Similarly, the table below reflects the Tie bet's probabilities and return percentages with eight decks involved, revealing a house edge of 10.51%.
Tie Return Table — Eight Decks
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Win | 7 | 559,113,418,630,400 | 0.111859 | 0.783010 |
Loss | -1 | 4,439,284,856,872,950 | 0.888141 | -0.888141 |
Total | 4,998,398,275,503,350 | 1.000000 | -0.105132 |
Dragon Analysis
The Dragon bet probabilities and expected returns with six decks are also outlined in the table below, where the last cell indicates a house edge of 5.59%.
Dragon Return Table — Six Decks
Margin of Victory | Pays | Combinations | Probability | Return |
---|---|---|---|---|
9 | 15 | 10,221,186,746,880 | 0.011630 | 0.174449 |
8 | 8 | 18,944,921,011,968 | 0.021556 | 0.172448 |
7 | 6 | 27,691,235,467,776 | 0.031508 | 0.189047 |
7 | 4 | 36,420,252,322,176 | 0.041440 | 0.165760 |
5 | 2 | 39,909,690,291,456 | 0.045410 | 0.090821 |
All other | -1 | 745,681,921,055,424 | 0.848456 | -0.848456 |
Total | 878,869,206,895,680 | 1.000000 | -0.055932 |
Another table presents the Dragon bet probabilities and returns concerning eight decks, with a final cell showing a house edge of 5.57%.
Dragon Return Table — Eight Decks
Margin of Victory | Pays | Combinations | Probability | Return |
---|---|---|---|---|
9 | 15 | 58,184,781,799,424 | 0.011641 | 0.174610 |
8 | 8 | 107,793,005,719,552 | 0.021566 | 0.172524 |
7 | 6 | 157,499,290,492,928 | 0.031510 | 0.189060 |
7 | 4 | 207,129,583,343,616 | 0.041439 | 0.165757 |
5 | 2 | 226,956,638,048,256 | 0.045406 | 0.090812 |
All other | -1 | 4,240,834,976,099,580 | 0.848439 | -0.848439 |
Total | 4,998,398,275,503,350 | 1.000000 | -0.055676 |