DRich
DRich
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May 4th, 2018 at 8:15:40 AM permalink
If someone found this promo at a small casino how valuable is this promo?

BJ pays 1:1
Split only once
$50 max bet for promotion
DAS
double 10/11 only


Promo offers 10% back on original bet amount for any winning hand (no pushes).

Assuming $50 bets how valuable is this promo?
At my age, a "Life In Prison" sentence is not much of a deterrent.
tongni
tongni
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May 4th, 2018 at 9:07:50 AM permalink
You win about 48% of the time, so 4.8% advantage.

Blackjack pays 1:1 -2.27%
Double 10,11 -.18%
Split once -.1%
You don't say anything about H/S17, decks, so we'll assume -.4% HA

1.8% advantage, so might be worth $50-200/hr depending on speed.
gamerfreak
gamerfreak
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May 4th, 2018 at 9:16:08 AM permalink
Using the probabilities from Blackjack Appendix 4 which has better rules, I get a house edge of 1.329%.

Win is 42.22%, a tie is 8.48%, and a loss is 49.10%

.4222 * 55 = 23.221
.0848 * 0 = 0
.4910 * -50 = -24.55

23.221 + 0 + -24.55 = -1.329

Those win/loss probabilities are with better rules, so if I am correct the return for the game in OP would be a bit less.

My method to calculating this could be flawed ... so I welcome anyone to set me straight :)
DRich
DRich
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May 4th, 2018 at 10:14:13 AM permalink
Quote: tongni

You win about 48% of the time, so 4.8% advantage.

Blackjack pays 1:1 -2.27%
Double 10,11 -.18%
Split once -.1%
You don't say anything about H/S17, decks, so we'll assume -.4% HA

1.8% advantage, so might be worth $50-200/hr depending on speed.



I calculated the game being negative about 2.4% before promo so we are relatively close.

Assuming a $50 bet that is a loss of $1.20 per hand. The promo pays $5 about 44% of the time so I think that is worth $2.20 per hand for a net profit of about $1 a hand which is very close to your 1.8%.

Thank you
At my age, a "Life In Prison" sentence is not much of a deterrent.
DRich
DRich
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May 4th, 2018 at 10:23:10 AM permalink
Quote: gamerfreak

Using the probabilities from Blackjack Appendix 4 which has better rules, I get a house edge of 1.329%.

Win is 42.22%, a tie is 8.48%, and a loss is 49.10%

.4222 * 55 = 23.221
.0848 * 0 = 0
.4910 * -50 = -24.55

23.221 + 0 + -24.55 = -1.329

Those win/loss probabilities are with better rules, so if I am correct the return for the game in OP would be a bit less.

My method to calculating this could be flawed ... so I welcome anyone to set me straight :)



I don't think you method accounts for the wins from doubles and splits.
At my age, a "Life In Prison" sentence is not much of a deterrent.
AxelWolf
AxelWolf
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May 4th, 2018 at 1:06:05 PM permalink
So you only get the bonus on the amount you profit on each hand? Not what the win amount the machine shows correct (Obviously, you are talking about video BJ)? I wonder if they are actully going to know the difference.

I assume you would do more aggressive doubling?

hopefully, they don't use Chinese prison chips.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
DRich
DRich
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May 4th, 2018 at 1:41:06 PM permalink
Quote: AxelWolf

So you only get the bonus on the amount you profit on each hand? Not what the win amount the machine shows correct (Obviously, you are talking about video BJ)? I wonder if they are actully going to know the difference.

I assume you would do more aggressive doubling?

hopefully, they don't use Chinese prison chips.



I think the bonus is a flat $5 on a $50 max bet when you win the hand.
At my age, a "Life In Prison" sentence is not much of a deterrent.
AxelWolf
AxelWolf
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May 4th, 2018 at 3:56:44 PM permalink
Quote: DRich

I think the bonus is a flat $5 on a $50 max bet when you win the hand.

IC.
♪♪Now you swear and kick and beg us That you're not a gamblin' man Then you find you're back in Vegas With a handle in your hand♪♪ Your black cards can make you money So you hide them when you're able In the land of casinos and money You must put them on the table♪♪ You go back Jack do it again roulette wheels turinin' 'round and 'round♪♪ You go back Jack do it again♪♪
gamerfreak
gamerfreak
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May 5th, 2018 at 12:58:45 PM permalink
Quote: DRich

I don't think you method accounts for the wins from doubles and splits.



Ooops, you're correct. I did a proper spreadsheet with Wiz's probabilities and the numbers match what tongni said (assuming 6 decks S17).



Again I appreciate any comments/corrections (trying to get better at calculating these things).
KevinAA
KevinAA
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May 10th, 2018 at 10:12:19 PM permalink
I think something like this has to be calculated from scratch. The basic strategy charts were all developed with no promo 10% bonus for winning your hand. The strategy for some hands will switch from double down to hit/stand (if double down is only a slight advantage, the 10% bonus could turn that around).
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