Royal Match @ Barona i-Table
One of the nice features of the Shuffle Master i-Table is that they can change the odds of the bonus side-bets at any time. Yesterday, they increased the payout on the Royal from 50:1 to 75:1. The change showed up on the display, so I calculated the improvement.
For an n-deck shoe, the probability of hitting a Royal (KQs) is (4)(n^2)/C(52*n,2) and the probability of getting dealt suited cards is 4*C(n*13,2)/C(n*52,2).
| Hand | Frequency | Payout | Return |
|---|---|---|---|
| Royal Match (KQs) | 0.29680935% | 75:1 | +0.222607 |
| Suited | 24.462033% | 2:1 | +0.489241 |
| nothing | 75.241158% | -1:1 | -0.752412 |
| Total | 100% | -0.040564 |
The change from the 50:1 to the 75:1 payout on the Royal improved the return from -10.2% to -4.1%. So, it went from a sucker bet to a fun $1 bet you can place every hand.
Discount Gambling 
Hey Stephen. I just visited Barona and they now have a Double-deck face up i-table with the same bonuses. Royal Match, Perfect Paris and Bet the Set. How would it being a double deck affect the odds and count of the game?