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The next table shows the house edge for most bets under both the Viejas rules and a standard game with dice.
What stands out in the table above is that laying odds on points of 4, 6, 8, and 10 show the house edge in negative. In other words, the player has an advantage! Of course, you have to make a negative expectation don't pass bet first. However, the Viejas generously allows the player to lay up to 10X odds, up to a maximum win of $1,000. That turns out to be enough to overcome the loss on the don't pass bet. To be specific, if the player lays the full odds on all points except 5 and 9, he can expect to win 0.001631 units per come out roll. The average wager per come out roll is 7.6515 units. So, the overall player advantage is 0.001631/7.6515 = 0.000213. It is pretty small, but how often does the player have a chance to have the odds in his favor at all? The 0.16% profit per don't pass bet may actually be understated. That is based on every "throw" coming from two random cards out of the 264-card shoe. However, the game uses a continuous shuffler. The way these shufflers work is with shelves. Any new cards coming in cannot be put into the top shelf, where new cards are dealt from. So, unless a new shelf is reached, there is a deeper penetration than just two cards. It is fairly obvious that even a slight penetration will work in the favor of the don't pass bet. The same cards used to get a point on the come out roll may not be available to be drawn again until a new shelf is hit, making it disproportionately likely to throw a seven instead, resulting in a win. The brilliant new site discountgambling.net analyzes the effect of the shuffler and calculates a player advantage of 1.8% per don't pass line bet made. He goes on to introduce a card counting strategy to increase the advantage even more. Even if you don't live anywhere near San Diego, this site merits a visit. He has great material on Mississippi Stud and Ultimate Texas Hold 'Em too.
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