Slightly Less simple 3 Card Poker question
September 28th, 2014 at 8:07:09 AM
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Would anyone happen to know what it would do to the house edge of 3 card poker if the house did not pay an ante/bet bonus? All aspects of the game would be kept the same. It's just that there would be no bonus for any ante/bet hands.
I feel like I scoured the WOO 3 card page fairly thoroughly. I apologize beforehand if the information was in there somewhere, but I assume that this is a figure that not a lot of people would have a use for.
I feel like I scoured the WOO 3 card page fairly thoroughly. I apologize beforehand if the information was in there somewhere, but I assume that this is a figure that not a lot of people would have a use for.
September 28th, 2014 at 8:10:38 AM
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I get a house edge of 7.464%. I used truncated probabilities, so there's going to be a small amount of error there. probably +- a few thousandths of a percent.
edit: To do this, I took the "ante return table" on the WoO page, dumped it into Excel, and replaced the payouts of 7, 6, 5, and 3 with payouts of 2.
edit: To do this, I took the "ante return table" on the WoO page, dumped it into Excel, and replaced the payouts of 7, 6, 5, and 3 with payouts of 2.
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
September 28th, 2014 at 10:23:53 AM
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Quote: rdw4potusI get a house edge of 7.464%. I used truncated probabilities, so there's going to be a small amount of error there. probably +- a few thousandths of a percent.
edit: To do this, I took the "ante return table" on the WoO page, dumped it into Excel, and replaced the payouts of 7, 6, 5, and 3 with payouts of 2.
my number is a little higher than that. I got 8.655%.
winning streaks come and go, losing streak never ends.
September 28th, 2014 at 10:29:06 AM
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a 1+% difference is worth exploring. Here's what my table looks like:
Edit: table formatted using Miplet's tool: http://miplet.net/table/index.php
| WIN | COMBINATIONS | PROBABILITY | RETURN |
|---|---|---|---|
| 2 | 617044 | 0.001515 | 0.00303 |
| 2 | 931972 | 0.002289 | 0.004578 |
| 2 | 289104 | 0.00071 | 0.00142 |
| 2 | 8976452 | 0.022046 | 0.044092 |
| 2 | 91100696 | 0.223741 | 0.447482 |
| 1 | 80955780 | 0.198825 | 0.198825 |
| 0 | 249216 | 0.000612 | 0 |
| -1 | 132923304 | 0.326456 | -0.326456 |
| -2 | 91126832 | 0.223805 | -0.44761 |
| Total | 407170400 | 1 | -0.074639 |
Edit: table formatted using Miplet's tool: http://miplet.net/table/index.php
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
September 28th, 2014 at 10:57:59 AM
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Quote: pokerfacemy number is a little higher than that. I got 8.655%.
And mine is slightly higher than that: 8.658048817% (35253012/407170400)
I used Q Poker and changed the pay table. I think you two are counting some losing and tying straights or better.
| Hand | Pays | Ways | Return |
|---|---|---|---|
| Straight flush win | 2 | 617044 | 0.003030888296 |
| Three of a kind win | 2 | 665776 | 0.003270257366 |
| Straight win | 2 | 8975484 | 0.04408711439 |
| All other wins | 2 | 87096380 | 0.4278129255 |
| Dealer doesn't qualify | 1 | 85493652 | 0.2099702041 |
| Push | 0 | 267648 | 0 |
| Fold | -1 | 132652800 | -0.3257918552 |
| Dealer wins | -2 | 91401616 | -0.4489600226 |
| Total | 407170400 | -0.08658048817 |
“Man Babes” #AxelFabulous
September 28th, 2014 at 12:21:35 PM
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Quote: mipletAnd mine is slightly higher than that: 8.658048817% (35253012/407170400)
I believe your number is correct.
Mine is essentially the same thing, but I didn't use computer, calculator, pen/pencil or paper.
I just truncated those numbers and add them together in my head.
winning streaks come and go, losing streak never ends.
September 28th, 2014 at 5:24:02 PM
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I assume you mean the bonus for straights or more.Quote: BukWildSuperFly...[change to] house edge of 3 card poker if the house did not pay an ante/bet bonus?
In the UK SF gets 5/1, Trips 4/1 and Straights 1/1 regardless of the dealer's hand. Since you always play these hands the maths is:-
Straight flush 48 5 240
3 of a kind 52 4 208
Straight 720 1 720
Flush 1096 0
Pair 3744
A 3840
K 3240
Q 2640
J 2100
T 1620
9 1200
8 840
7 540
6 300
5 120
22100 5.285 068%
