What is the edge with this payout rule involving a player surrender?
At a local cardroom they will "round up" when paying out a surrender hand that has $.50 (fifty cents) in the payout. (They don't use quarters, fifty cent pieces, or $2.50 chips)
The payout would be as follows:
$5 bet = $2.50 rounds to $3
$10 bet = $5
$15 = $7.50 rounds to $8
Also, It is a 6:5 game so there would be no special payout round ups on blackjacks.
I believe this creates an advantage for the $5 flat bettor without counting. I do realize that this advantage if any is minimal. The reason I ask is here in California the player has the option to act as the bank every two hands, and then must play as a player the other two hands that they do not choose to hold the bank.
I am only trying to find the edge while playing as a player, which would typically be 50% of time (flat betting $5) since other players generally do not elect to bank on their turn in the rotation.
My question is not being addressed towards the banking side of play, just the hands I must play as a player. 80 hands per hour (40 banking/40 as player)
My question is what would be the edge for a $5 flat bettor playing basic strategy with this special payout?
I realize there are several ways to compute this.
The 3 questions that came to mind for me:
1. What percentage of the time does basic strategy call for a surrender?
2. What would be the statistically correct basic strategy deviations to take advantage of the additional $.50 paid on a surrendered hand?
3. How much additional +EV would be made on these additional playing deviations?
I believe this special payout will take it from the negative edge to something slightly positive.
This is a 6:5 game
Rules: 6 decks, HS17, DAS, Resplit 4 hands, Resplit Aces, Hit split Aces, Surrender, 6:5 bj payout. I come up with a house advantage of -1.6438
keep in mind, the money here is made on the banking hands.
My main objective is to see if the non-banking hands can have an edge for the $5 flat basic strategy bettor without counting and what would be the proper basic strategy deviations?
I realize this may take some work, even a rough estimate would be appreciated! Thanks!
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