Pushing with the dealer

Ok you math geniuses... If I'm playing a Blackjack game where they pay 10-1 for pushing with the Dealer I believe the stats look something like this:

Dealer and player push 8% of the time.
For every 100 $1 side bets the house wins $92
For every 100 $1 side bets the house pays out $80
The house wins $12 for every $100 bets.

How would this change if the player could place a bet after seeing his/her first two cards and the Dealer's up card? My mind can't even comprehend the possibilities. I guess with a player 17 and a Dealer showing a 7, chances would be pretty good? With any other combination other than the player and Dealer's starting total ending in the same number between 7 and 0 is it even possible to figure out?

Going even further, what if the player could place the bet after they are done playing their hand (if not a bust hand)?

My brain hurts.

ZCore13

Quote: Zcore13

How would this change if the player could place a bet after seeing his/her first two cards and the Dealer's up card? My mind can't even comprehend the possibilities. I guess with a player 17 and a Dealer showing a 7, chances would be pretty good? With any other combination other than the player and Dealer's starting total ending in the same number between 7 and 0 is it even possible to figure out?

Should be no harder than figuring out basic strategy assuming infinite decks.

I wonder how the existence of a tie bet, if you could make it seeing your first two cards, would change basic strategy. For example, on a soft 18 would you stand on a hand you'd otherwise hit or double on due to the possibility of a push?

I don't think figuring out basic strategy is simple at all !!!!!!!!!!!!!!!!!!!!!!!!!!!

I played a bonus joker game where if you got a standoff you could keep the joker. What it meant was rather than standing on 12 vs 4 - where you'll either win or lose - the best play was to hit since the standoff has the additional value of keeping the joker.

When working out infinite deck, I usually only use expected payback and compare the various options to have (split, double, hit, stand) as to which gives the higher return (rather than wins/loses). It's not that difficult if you know spreadsheets and can do X=(4*A+B+....+J)/13. I always use that method for calculating how to play jokers and new variants.

7outineaway,

I don't think there is any doubt basic strategy changes in the scenario you gave. At 10-1 odds it has to chance the play once some of the less desirable results are already out of the picture.

When are you guys planning on running this promotion?

Well, I have to determine if it's feasible first. I want to be able to let people place the bet after their first two cards and the Dealer up card... maybe even at any point in their hand. I just suck at math and my Casino is too small to hire someone for it.