100xOdds
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January 27th, 2025 at 5:56:20 PM permalink


Wiz,

Something new for you to calc. :)
It's called "Ultimate Pairs"

Note:
The $10 min in the pic is for Ante
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
100xOdds
100xOdds
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January 27th, 2025 at 6:09:48 PM permalink
Interestingly, AT does not win.
What would be the return if ATo paid 5:1 and ATs paid 20:1?

I've seen players get disappointed when AT doesn't win when they're so used to AT being paid in Black Jack.

Anyone guess why the designer of this sucker bet left out AT as a winning hand when people are used to AT winning in BJ?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Wizard
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Deucekies
January 27th, 2025 at 7:48:52 PM permalink
Thanks. Here is my analysis. 8.9% house edge.

Event Pays Combinations Probability Return
Pair aces 30 6 0.004525 0.135747
A/K suited 25 4 0.003017 0.075415
AJ or AQ suited 20 8 0.006033 0.120664
AK unsuited 15 12 0.00905 0.135747
JJ, QQ, KK 10 18 0.013575 0.135747
AJ or AQ unsuited 5 24 0.0181 0.090498
22 to 10,10 3 54 0.040724 0.122172
All other -1 1200 0.904977 -0.904977
Total 1326 1 -0.088989
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
camapl
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Dieter
January 28th, 2025 at 12:17:25 AM permalink
Quote: 100xOdds

Interestingly, AT does not win.
What would be the return if ATo paid 5:1 and ATs paid 20:1?

I've seen players get disappointed when AT doesn't win when they're so used to AT being paid in Black Jack.

Anyone guess why the designer of this sucker bet left out AT as a winning hand when people are used to AT winning in BJ?
link to original post



Adding AT to the respective AJ/AQ payouts (+4 suited and +12 unsuited) yields a Player edge of ~1.64%.
It’s a dog eat dog world. …Or maybe it’s the other way around!
100xOdds
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January 28th, 2025 at 3:45:08 AM permalink
Quote: camapl

Quote: 100xOdds

Interestingly, AT does not win.
What would be the return if ATo paid 5:1 and ATs paid 20:1?

I've seen players get disappointed when AT doesn't win when they're so used to AT being paid in Black Jack.

Anyone guess why the designer of this sucker bet left out AT as a winning hand when people are used to AT winning in BJ?
link to original post



Adding AT to the respective AJ/AQ payouts (+4 suited and +12 unsuited) yields a Player edge of ~1.64%.
link to original post


oh wow.. never imagined a 10% swing.

how about ATo-AKo paid 5:1, ATs-AQs paid 15:1, AKs paid 25:1 and TT-KK paid 10:1?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
odiousgambit
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January 28th, 2025 at 5:10:17 AM permalink
Quote: Wizard

Thanks. Here is my analysis. 8.9% house edge.

Event Pays Combinations Probability Return
Pair aces 30 6 0.004525 0.135747
A/K suited 25 4 0.003017 0.075415
AJ or AQ suited 20 8 0.006033 0.120664
AK unsuited 15 12 0.00905 0.135747
JJ, QQ, KK 10 18 0.013575 0.135747
AJ or AQ unsuited 5 24 0.0181 0.090498
22 to 10,10 3 54 0.040724 0.122172
All other -1 1200 0.904977 -0.904977
Total 1326 1 -0.088989

link to original post

that a pair of aces can disappoint due to difficulty of improvement, while AK Suited starts low in value as is, but has good chances of improvement, is well known to poker players in such games as Holdem.

However, as this shows, AK Suited is a more rare starting hand too. Didn't know that.
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!”   She is, after all, stone deaf. ... Arnold Snyder
unJon
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January 28th, 2025 at 7:05:24 AM permalink
Quote: odiousgambit

Quote: Wizard

Thanks. Here is my analysis. 8.9% house edge.

Event Pays Combinations Probability Return
Pair aces 30 6 0.004525 0.135747
A/K suited 25 4 0.003017 0.075415
AJ or AQ suited 20 8 0.006033 0.120664
AK unsuited 15 12 0.00905 0.135747
JJ, QQ, KK 10 18 0.013575 0.135747
AJ or AQ unsuited 5 24 0.0181 0.090498
22 to 10,10 3 54 0.040724 0.122172
All other -1 1200 0.904977 -0.904977
Total 1326 1 -0.088989

link to original post

that a pair of aces can disappoint due to difficulty of improvement, while AK Suited starts low in value as is, but has good chances of improvement, is well known to poker players in such games as Holdem.

However, as this shows, AK Suited is a more rare starting hand too. Didn't know that.
link to original post



If your first card is an A, there are three more aces to give you pocket AA but only one suited K to give you suited AK.
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
aceside
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odiousgambit
January 28th, 2025 at 8:56:16 AM permalink
This story is not complete though. You may get a suited AK by starting with a K too. That is a lot more chance.
unJon
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January 28th, 2025 at 9:32:23 AM permalink
Quote: aceside

This story is not complete though. You may get a suited AK by starting with a K too. That is a lot more chance.
link to original post



Fair. More complete version:

There are 4 ways to make suited AK and 6 ways to make a pair of aces.
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
camapl
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January 28th, 2025 at 10:14:12 AM permalink
Quote: 100xOdds

Quote: camapl

Quote: 100xOdds

Interestingly, AT does not win.
What would be the return if ATo paid 5:1 and ATs paid 20:1?

I've seen players get disappointed when AT doesn't win when they're so used to AT being paid in Black Jack.

Anyone guess why the designer of this sucker bet left out AT as a winning hand when people are used to AT winning in BJ?
link to original post



Adding AT to the respective AJ/AQ payouts (+4 suited and +12 unsuited) yields a Player edge of ~1.64%.
link to original post


oh wow.. never imagined a 10% swing.

how about ATo-AKo paid 5:1, ATs-AQs paid 15:1, AKs paid 25:1 and TT-KK paid 10:1?
link to original post



Last one… 😄 Your scenario above yields a return of -7.27%.
It’s a dog eat dog world. …Or maybe it’s the other way around!
heatmap
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January 28th, 2025 at 5:21:37 PM permalink
are you all sure this is only played with one deck of cards?
JoeTheDragon
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January 28th, 2025 at 6:10:58 PM permalink
What about the 1000-1 player and dealer AA version?
Deucekies
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January 28th, 2025 at 9:37:27 PM permalink
Yeah, the paytable in the first post sometimes has a 1000:1 payout for AA vs dealer AA.

There are also these simpler pay tables:

Hand Paytable 3 Paytable 4 Paytable 5 Paytable 6
Two Red Aces --- 100 to 1 50 to 1 ---
Two Aces 30 to 1 30 to 1 25 to 1 25 to 1
Ace Face Suited 20 to 1 20 to 1 20 to 1 20 to 1
Ace Face 10 to 1 10 to 1 10 to 1 10 to 1
Pair 5 to 1 4 to 1 5 to 1 5 to 1
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
Hunterhill
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January 29th, 2025 at 1:35:12 AM permalink
Quote: JoeTheDragon

What about the 1000-1 player and dealer AA version?
link to original post


This side bet is the same as on Texas Holdem Bonus. The Wizard has a table with the 1000-1 payout
Happy days are here again
100xOdds
100xOdds
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January 29th, 2025 at 2:31:06 PM permalink
Quote: camapl

Quote: 100xOdds

Quote: camapl

Quote: 100xOdds

Interestingly, AT does not win.
What would be the return if ATo paid 5:1 and ATs paid 20:1?

I've seen players get disappointed when AT doesn't win when they're so used to AT being paid in Black Jack.

Anyone guess why the designer of this sucker bet left out AT as a winning hand when people are used to AT winning in BJ?
link to original post


Adding AT to the respective AJ/AQ payouts (+4 suited and +12 unsuited) yields a Player edge of ~1.64%.
link to original post


oh wow.. never imagined a 10% swing.

how about ATo-AKo paid 5:1, ATs-AQs paid 15:1, AKs paid 25:1 and TT-KK paid 10:1?
link to original post


Last one… 😄 Your scenario above yields a return of -7.27%.
link to original post


Thx
Wow, adding AT and TT but reducing the suited version to 15:1 swings it back 10+% the other way.
(Your previous calc was only ATo and ATs without the higher payout for TT)

So this payout still has a high HE but is less confusing/disappointing to people who are used to AT winning in Blackjack.
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
100xOdds
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January 29th, 2025 at 2:33:24 PM permalink
Quote: Deucekies

Yeah, the paytable in the first post sometimes has a 1000:1 payout for AA vs dealer AA.

There are also these simpler pay tables:

Hand Paytable 3 Paytable 4 Paytable 5 Paytable 6
Two Red Aces --- 100 to 1 50 to 1 ---
Two Aces 30 to 1 30 to 1 25 to 1 25 to 1
Ace Face Suited 20 to 1 20 to 1 20 to 1 20 to 1
Ace Face 10 to 1 10 to 1 10 to 1 10 to 1
Pair 5 to 1 4 to 1 5 to 1 5 to 1

link to original post


Interesting.. Another sidebet that uses Ace Face instead of Ace Ten.

Why don't these sidebet creators take into account that people are used to AT winning in blackjack?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Deucekies
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January 29th, 2025 at 11:27:00 PM permalink
Quote: 100xOdds

Quote: Deucekies

Yeah, the paytable in the first post sometimes has a 1000:1 payout for AA vs dealer AA.

There are also these simpler pay tables:

Hand Paytable 3 Paytable 4 Paytable 5 Paytable 6
Two Red Aces --- 100 to 1 50 to 1 ---
Two Aces 30 to 1 30 to 1 25 to 1 25 to 1
Ace Face Suited 20 to 1 20 to 1 20 to 1 20 to 1
Ace Face 10 to 1 10 to 1 10 to 1 10 to 1
Pair 5 to 1 4 to 1 5 to 1 5 to 1

link to original post


Interesting.. Another sidebet that uses Ace Face instead of Ace Ten.

Why don't these sidebet creators take into account that people are used to AT winning in blackjack?
link to original post



Because the game has nothing to do with blackjack. That's like saying 7-2 should be a winner because it's a natural nine in baccarat.
Casinos are not your friends, they want your money. But so does Disneyland. And there is no chance in hell that you will go to Disneyland and come back with more money than you went with. - AxelWolf and Mickeycrimm
100xOdds
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January 30th, 2025 at 7:27:52 AM permalink
Quote: Deucekies

Quote: 100xOdds

Quote: Deucekies

Yeah, the paytable in the first post sometimes has a 1000:1 payout for AA vs dealer AA.

There are also these simpler pay tables:

Hand Paytable 3 Paytable 4 Paytable 5 Paytable 6
Two Red Aces --- 100 to 1 50 to 1 ---
Two Aces 30 to 1 30 to 1 25 to 1 25 to 1
Ace Face Suited 20 to 1 20 to 1 20 to 1 20 to 1
Ace Face 10 to 1 10 to 1 10 to 1 10 to 1
Pair 5 to 1 4 to 1 5 to 1 5 to 1

link to original post


Interesting.. Another sidebet that uses Ace Face instead of Ace Ten.

Why don't these sidebet creators take into account that people are used to AT winning in blackjack?
link to original post



Because the game has nothing to do with blackjack. That's like saying 7-2 should be a winner because it's a natural nine in baccarat.
link to original post


Lots of gamblers know how to play blackjack. They all know being dealt 21 in your 1st 2 cards is an instant win (if the dealer doesnt also have 21).
maybe 1% of them know how to play bacc.

So when you design a game, you don;t take into account another game, even if a majority of your audience knows it?
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
unJon
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January 30th, 2025 at 10:20:01 AM permalink
Quote: Deucekies

Quote: 100xOdds

Quote: Deucekies

Yeah, the paytable in the first post sometimes has a 1000:1 payout for AA vs dealer AA.

There are also these simpler pay tables:

Hand Paytable 3 Paytable 4 Paytable 5 Paytable 6
Two Red Aces --- 100 to 1 50 to 1 ---
Two Aces 30 to 1 30 to 1 25 to 1 25 to 1
Ace Face Suited 20 to 1 20 to 1 20 to 1 20 to 1
Ace Face 10 to 1 10 to 1 10 to 1 10 to 1
Pair 5 to 1 4 to 1 5 to 1 5 to 1

link to original post


Interesting.. Another sidebet that uses Ace Face instead of Ace Ten.

Why don't these sidebet creators take into account that people are used to AT winning in blackjack?
link to original post



Because the game has nothing to do with blackjack. That's like saying 7-2 should be a winner because it's a natural nine in baccarat.
link to original post



Of course 7-2 should be a winner. That’s the hammer!
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
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