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).
|Royal Match (KQs)||0.29680935%||75:1||+0.222607|
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.