2 To 1 Blackjack Promotion
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6 deck shoe
dealer hits soft 17
double down on any first 2 cards
split up to 3 times (4 total hands)
no hitting split aces
no surrender
player may play 2 hands if they are next to each other
maximum payout at the bonus odds is $300. So a $200+ suited blackjack would pay 3-1 on the first $100 and 3-2 on the remaining amount.
It seems to me it would be wise to play 2 hands at $100 each during this promotion to maximize changes to win if indeed the advantage is to the player during this time.
Any thoughts?
Blackjacks pay 2 to 1 +2.27%
this is an estimate.
im using one deck for sake of simplicity.
there are 64 different ways to make blackjack. 4acesx16tenvaluedcards
each blackjack paying 2 to 1 is worth 2.27%/64 or .035469%
there are 16 different ways to make suited blackjacks. 4x1acex4tenvaluedcardsofsamesuit.
16 of those blackjacks are worth 1.5 times as much so .035469% x 16 x 1.5 or .85176% collectively.
48 of those blackjacks are worth .035469% or 1.70352% collectively.
adding those two amounts together equals 2.55528%.
depending on whether you can resplit aces or double down after a split, the house edge is anywhere from .54% to .76%.
so all together the player advantage is about 1.80% to 2.00%.
I am getting +2.68% if you can double after split, and +2.54 if you cannot (with infinite decks)
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out of curiosity can you explain how u came up with those numbers?
I'm writing this on my cellphone from O'hare airport, and doing the math in my head (and rounding). I may be missing something, but it looks to me like these rules have a player advantage of about 3.1%.
I also tend to think it is higher. The Wizard's page says 2-1 blackjack is an off-the-top 2.27% advantage. That's a given. Then in addition to that for every suited BJ you will get an extra payout of another bet. Rudeboyoi, I'm not saying your math is wrong, but just an additional .30% advantage for that seems low.
Regardless, it's a 2-3% advantage and the ideal bet is probably as many hands of $150 as they will let you lay out. That way you take advantage of the full $300 payout on regular BJs. Anything greater than that and you have diminishing returns. You'll stand to make ~$260 per hour for every bet you have out depending on the speed of play.
Edit: $150 is the maximum you would ever care to bet. I can't say it's the optimal bet. I'm not sure what that is. It might be a number somewhere in between $100 and $150. If you just play $100, you're also shorting yourself by not getting the full $300 on the regular BJ's which come up a lot more often than the suiteds.
Casino Blackjack Promotions
out of curiosity can you explain how u came up with those numbers?
Well, nothing fancy really. I wrote a little program, that computes an expectation of every hand with a given set of rules, and then sums up all the hands multipled by the probabilities.