So over the course of the 48 cards dealt when one has a royal flush draw, reducing your bet on 3rd street to avoid the payout cap yields the following returns: Repeats for Queens, Kings and Aces ranks. Js: (already in hand 80% of time and cover by the Xs above the other 20%) = $0 Xs: zero as this payout is capped at the $20 reduced 3rd Street betġ0h: break even 80% of the time, the other 20% cover by the Xh, above $0ġ0d: break even 80% of the time, the other 20% cover by the Xd, above $0ġ0c: break even 80% of the time, the other 20% cover by the Xc, above $0ġ0s (already in hand 80% of time and cover by the Xs above the other 20%) = $0 If you assume that you play rounds 1 and 2 the same and limit your round 3 bet with a Royal Draw to $25 (the felt does say '1x TO 3x' not '1x or 3x') you've avoided the cap, but you're then missing our on the extra $20 base when you hit a non-royal flush (costing you $120 in winnings), a straight ($80), or a high pair ($20).īrut forcing that through below yields the following returns when you have 4 to a royal flush draw in any suit (I'll use spades and X is the rank that is missing in the draw):ĩs: lost $2000 the 1 in 5 times the Royal Draw is 10,J,Q,K and $120 the other 4 in 5 times =$2000*.2 + $120*.8 = $496

Two questions: 1) (How) Does this affect the optimum strategy? and 2) how much worse does this make the house edge? The $50K cap would then cost the player $10K in payout. However, at a $15 ante (and I have seen this as the table minimum) any Royal Flush should be played at Ante-1X-3X-3X or $120 at risk. Caesars seems to have placed a payout cap on its Mississippi Stud Tables of $50,000.Īt a $5 or $10 ante this is a non-issue as even if you go against optimum strategy and raise to 3x on all rounds, you've put $100 on the table and the 500:1 Royal payout doesn't cross the $50K threshold.

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