Interesting Pair Plus paytable

Local Dog track in SW Florida. Advertised pair plus paytable in newspaper 4/30:
Mini Royal 200 to 1
SF 50 to 1
3 OAK 30 to 1
straight 6 to 1
flush 4 to 1
pair 1 to 1

Seems to be the most generous paytable around. How generous?

https://wizardofodds.com/games/three-card-poker/

Go to the pair plus return table here.

To figure out the probability of a miniroyal, take 1/12 of the probability of a straight flush (since 1/12 straight flushes is a miniroyal). To figure out the return for the miniroyal, take the probability you just figured out and multiply it by 200.

To figure out the probability of a straight flush, take 11/12 of the probability of a straight flush (since 1/12 of them count as a miniroyal already). Then multiply that probability by 50 to get the return.

Use the same returns for three of a kind, straight, pair, and all other.

For flush use the same probability for flush but multiply it by 4 instead for the return.

Then sum all those returns together to figure out the house edge.

The easiest way is to look at the various hands.
There are 4 Royal Flushes paying back 200+1.
etc.
Ignore the probabilities and see how close to 22100 the total gets to - divide to get House Edge
Methinks you have the figures wrong and actually the Straight pays 5/1 (99.312%). However if it's 1,4,6, then (30,50,58) or (30,40,168) or (19,50,201) are true values (e.g. 30 40 100 = 98.769%).Alternatively it may be a promotion whereby you can't bet more than 1/2 your Ante bet - would be a nice idea.

2.57% player edge? Bradenton Herald page 29D Could be a misprint but......

It's the SF that throws it into PA, I think. The 50/40/30/6/4/1 is a nice paytable if you can find it, but still has a slight HAR 2.14%. The MiniRoyal doesn't happen all that often, maybe changes it .1 or .2%. But the SF at 50 rather than 40 does, often enough, anyway, to make it a PA.

The Florida Dog Track Pair Plus is handled differently than normal.

At the Florida Dog Tracks the Pair Plus is ONLY PAID when the player's hand BEATS the dealer's hand. If the dealer's hand is higher than the player's hand, the Pairs Plus is a push.

For example, if the dealer qualifies with a pair of 6's and the player has a pair of 4's, the player pushes their Pair Plus bet and loses their ante and bet wagers.

May be there is no Ante bonus when dealer does not qualify. We need to see the full picture.

Quote: Allan99

The Florida Dog Track Pair Plus is handled differently than normal.

At the Florida Dog Tracks the Pair Plus is ONLY PAID when the player's hand BEATS the dealer's hand. If the dealer's hand is higher than the player's hand, the Pairs Plus is a push.

For example, if the dealer qualifies with a pair of 6's and the player has a pair of 4's, the player pushes their Pair Plus bet and loses their ante and bet wagers.

If this information is correct, I calculate a house edge of 2.0544%.

Since this is a dog track, doesn't that make this a player banked game?

Card rooms and tracks can only have poker and player banked games in Florida...

That's why I could see a track advertising this heavily. It doesn't hurt them at all... They simply collect their progressive wager revenue and the comission from the banking company each hand.

Quote: UCivan

May be there is no Ante bonus when dealer does not qualify. We need to see the full picture.

At many of the Florida Dog Tracks there is no Ante Bonus period! When the Ante gets paid it just wins one bet at a lot of the Florida Dog Tracks. I read somewhere on the site where someone posted that the loss of the Ante Bonus is almost 5.3%.

Quote: Allan99

At many of the Florida Dog Tracks there is no Ante Bonus period! When the Ante gets paid it just wins one bet at a lot of the Florida Dog Tracks. I read somewhere on the site where someone posted that the loss of the Ante Bonus is almost 5.3%.

All of the carnival games have revised payouts at the dog tracks because of the "player" banking and having to pay 2 entities rather than just the house. Horrible paytables, and bets that must beat the dealer to win as well (where normally it's just paid win or lose), for a net of many less wins at worse odds. I was excited to see they offered them until I saw the revisions, and so I don't play any of them.

Sorry to revive a post so old, but to offer a bit of perspective on the issue, I happen to work for one of the companies that "player banks" these games. As stated before, the reason for the seemingly generous payout tables is due to having to beat the dealer to win the pair plus bet, and the absence of the ante bonus.
To set the record straight, the companies banking these games, as well as the house would love to offer them using their original rules, however, the state of Florida has put restrictions on the games we can offer in that they must be strict "poker based" games. This means that when compared, one hand must win, lose, or tie completely. This restricts us from paying the pair plus on a hand, when the bank hand is a better hand.