Sudoku -- Casino Game
Poll
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 | 1 vote (5.55%) | ||
| | 11 votes (61.11%) | ||
| No votes (0%) | |||
| | 1 vote (5.55%) | ||
| | 5 votes (27.77%) |
18 members have voted
December 30th, 2014 at 11:50:14 AM
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Internet casinos using Rival software have a Sudoku game. The game picks nine numbers from 1 to 9, with replacement, and the player wins with at least a three of a kind.
For the full rules and analysis, please see my new page on Sudoku. My return is coming in lower than I thought it would for an Internet casino, so I fear I may have made an error somewhere. I invite the other math-heads of the forum to see how your numbers compare. Remember that the player gets paid for each win. For example, if the numbers were 1-1-1-2-2-2-3-4-5 the player would win 2, one for each of the two three of a kinds.
Here is more information on the combinations of each type of win.
The question for the poll is would you play this game?
For the full rules and analysis, please see my new page on Sudoku. My return is coming in lower than I thought it would for an Internet casino, so I fear I may have made an error somewhere. I invite the other math-heads of the forum to see how your numbers compare. Remember that the player gets paid for each win. For example, if the numbers were 1-1-1-2-2-2-3-4-5 the player would win 2, one for each of the two three of a kinds.
Here is more information on the combinations of each type of win.
| Distribution | Combinations |
|---|---|
| 9-0 | 9 |
| 8-1 | 648 |
| 7-2 | 2,592 |
| 7-1-1 | 18,144 |
| 6-3 | 6,048 |
| 6-2-1 | 127,008 |
| 6-1-1-1 | 254,016 |
| 5-4 | 9,072 |
| 5-3-1 | 254,016 |
| 5-2-2 | 190,512 |
| 5-2-1-1 | 2,286,144 |
| 5-1-1-1-1 | 1,905,120 |
| 4-4-1 | 158,760 |
| 4-3-2 | 635,040 |
| 4-3-1-1 | 3,810,240 |
| 4-2-2-1 | 5,715,360 |
| 4-2-1-1-1 | 19,051,200 |
| 4-1-1-1-1-1 | 7,620,480 |
| 3-3-3 | 141,120 |
| 3-3-2-1 | 7,620,480 |
| 3-3-1-1-1 | 12,700,800 |
| 3-2-2-2 | 3,810,240 |
| 3-2-2-1-1 | 57,153,600 |
| 3-2-1-1-1-1 | 32,659,200 |
| 3-1-1-1-1-1-1 | 15,240,960 |
The question for the poll is would you play this game?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
December 30th, 2014 at 12:12:37 PM
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Are you missing another winning combination 3-1-1-1-1-1-1?
December 30th, 2014 at 12:39:55 PM
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Wait a sec...
So this is nothing more than just another kind of slot machine a boring one at that and has the Sudoko name, but has nothing to do with its namesake.
Is that about right? I'll pass.
So this is nothing more than just another kind of slot machine a boring one at that and has the Sudoko name, but has nothing to do with its namesake.
Is that about right? I'll pass.
I invented a few casino games. Info:
http://www.DaveMillerGaming.com/
Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
December 30th, 2014 at 1:43:15 PM
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Quote: MidwestAPAre you missing another winning combination 3-1-1-1-1-1-1?
Yes, thanks!
And what is with the 1/3 bigots on this forum?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
December 30th, 2014 at 2:02:08 PM
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The help screen says that the "in order" jackpot must be 1 to 9 (and not 9 to 1), and that the expected return is "about 94.32%".
This is what I get as well - because I count 76,204,800 results of 3-2-1-1-1-1 instead of the 32,659,200 you count:
9 choices for the value of the three of a kind
(9)C(3) = 84 sets of locations for the three
8 choices for the value for the pair
(6)C(2) = 15 sets of locations for the pair
7 choices for the value of the first single
6 choices for the value of the second single
5 choices for the value of the third single
4 choices for the value of the fourth single
9 x 84 x 8 x 15 x 7 x 6 x 5 x 4 = 76,204,800
yay math
This is what I get as well - because I count 76,204,800 results of 3-2-1-1-1-1 instead of the 32,659,200 you count:
9 choices for the value of the three of a kind
(9)C(3) = 84 sets of locations for the three
8 choices for the value for the pair
(6)C(2) = 15 sets of locations for the pair
7 choices for the value of the first single
6 choices for the value of the second single
5 choices for the value of the third single
4 choices for the value of the fourth single
9 x 84 x 8 x 15 x 7 x 6 x 5 x 4 = 76,204,800
yay math
December 30th, 2014 at 2:51:07 PM
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When I first read this, I got excited because I assumed there was some skill factor involved. My mistake.
December 30th, 2014 at 3:02:09 PM
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Quote: tringlomaneWhen I first read this, I got excited because I assumed there was some skill factor involved. My mistake.
When I first saw it, I thought "with replacement" meant that it was like VP, and you had the option to replace any or all of the digits. (It refers to the fact that the number in each square can appear in other squares. It wouldn't be much of a game if all 9 digits had to appear on the screen every time.)
December 30th, 2014 at 3:15:21 PM
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Well, you included that option....Quote: WizardAnd what is with the 1/3 bigots on this forum?
I was thinking the same thing.Quote: tringlomaneWhen I first read this, I got excited because I assumed there was some skill factor involved. My mistake.
I invented a few casino games. Info:
http://www.DaveMillerGaming.com/
Superstitions are silly, childish, irrational rituals, born out of fear of the unknown. But how much does it cost to knock on wood? 😁
December 30th, 2014 at 3:27:06 PM
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I chose "other" because it has nothing to do with Sudoku
December 30th, 2014 at 3:31:21 PM
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Quote: ThatDonGuyThe help screen says that the "in order" jackpot must be 1 to 9 (and not 9 to 1), and that the expected return is "about 94.32%".
This is what I get as well - because I count 76,204,800 results of 3-2-1-1-1-1 instead of the 32,659,200 you count:
9 choices for the value of the three of a kind
(9)C(3) = 84 sets of locations for the three
8 choices for the value for the pair
(6)C(2) = 15 sets of locations for the pair
7 choices for the value of the first single
6 choices for the value of the second single
5 choices for the value of the third single
4 choices for the value of the fourth single
9 x 84 x 8 x 15 x 7 x 6 x 5 x 4 = 76,204,800
yay math
Nice job ThatDonGuy! I agree.
| Pays | Ways | Probability | Return |
|---|---|---|---|
| 10000 | 1 | 0.000000002581174792 | 0.00002581174792 |
| 2000 | 9 | 0.00000002323057313 | 0.00004646114625 |
| 500 | 648 | 0.000001672601265 | 0.0008363006325 |
| 100 | 383615 | 0.0009901773677 | 0.09901773677 |
| 21 | 6048 | 0.00001561094514 | 0.0003278298479 |
| 20 | 381024 | 0.0009834895438 | 0.01966979088 |
| 12 | 9072 | 0.00002341641771 | 0.0002809970125 |
| 11 | 254016 | 0.0006556596959 | 0.007212256655 |
| 10 | 4381776 | 0.01131012975 | 0.1131012975 |
| 4 | 158760 | 0.0004097873099 | 0.00163914924 |
| 3 | 4586400 | 0.01183830006 | 0.03551490019 |
| 2 | 52708320 | 0.1360493869 | 0.2720987738 |
| 1 | 152409600 | 0.3933958175 | 0.3933958175 |
| 0 | 172141200 | 0.4443265261 | 0 |
| 387420489 | 1 | 0.943167123 |
Man Babes #AxelFabulous
December 30th, 2014 at 5:38:59 PM
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Speaking of that any Ahigh Pinball updates/ rumors?Quote: tringlomaneWhen I first read this, I got excited because I assumed there was some skill factor involved. My mistake.
♪♪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♪♪
December 30th, 2014 at 6:20:27 PM
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Quote: ThatDonGuybecause I count 76,204,800 results of 3-2-1-1-1-1 instead of the 32,659,200 you count:
You're absolutely right! Thanks for the correction. I owe you a beer. Just goes to show you can have a whole spreadsheet full of numbers and one wrong number spoils the whole thing.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
December 30th, 2014 at 7:51:15 PM
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Quote: AxelWolfSpeaking of that any Ahigh Pinball updates/ rumors?
I think he's moved on to an AP pong casino game. You choose the size of the paddle and the speed of the ball and can jack it all the way up to 101.3%. Minimum bet is $150.
ZCore13
I am an employee of a Casino. Former Table Games Director,, current Pit Supervisor. All the personal opinions I post are my own and do not represent the opinions of the Casino or Tribe that I work for.
December 30th, 2014 at 9:29:28 PM
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It's worth noting that offering the game "as is" would be illegal in most US casinos.
Nevada could offer it if they clearly point out the jackpot has a ridiculous 1 in 387,420,489 probability on the payglass. I'd rather hit Powerball thanks.
Nevada could offer it if they clearly point out the jackpot has a ridiculous 1 in 387,420,489 probability on the payglass. I'd rather hit Powerball thanks.
