100xOdds
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January 16th, 2023 at 8:02:06 AM permalink
Uth's HE is 2.2% but that factors in the Blind bet.

Element of Risk divides the HE by the avg amount of $ on the board.
so ante+blind+avg Play (2x) = 4x the ante bet

so EoR = 2.2%/4

But are we double counting the Blind bet?
Why are we factoring in the Blind bet again in EoR calculations if it was already factored in for the HE?

That's like saying the HE for '3:2 s17 Blackjack' is .4% but EoR is lower because of double downs and splits?
Last edited by: 100xOdds on Jan 16, 2023
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aceside
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January 16th, 2023 at 9:28:33 AM permalink
The UTH house edge of 2.2% is referenced to your ante bet amount only.
100xOdds
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January 16th, 2023 at 10:53:39 AM permalink
Quote: aceside

The UTH house edge of 2.2% is referenced to your ante bet amount only.
link to original post

But the HE takes into account the Blind bet payout.
If you can have a different bet size for the Blind bet (ie: $10 Ante, $5 Blind), then the HE would be different.

The HE takes into account that the Blind bet amount is the same as the Ante amount.

edit:
changed it to $5 Blind bet
Last edited by: 100xOdds on Jan 16, 2023
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
Actuarial
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January 16th, 2023 at 11:00:57 AM permalink
Why would you ever voluntarily put more money on the blind?
Joeman
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January 16th, 2023 at 11:08:29 AM permalink
The Wizard of Odds UTH page explicitly states that the HE applies to the Ante bet only.

Quote: WoO

The lower right cell shows a house edge of 2.185% per ante bet. What this means, for example, is if you bet $1 and both the Ante and Blind initially, then you can expect to lose 2.185 cents on average. However for comparison to other games I believe the Element of Risk is more appropriate to look at. The average total amount bet by the end of the hand is 4.152252 times the ante bet. So the element of risk would be 2.185%/4.152252 = 0.526%. The standard deviation, relative to the Ante bet, is 4.94.

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aceside
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January 16th, 2023 at 11:26:47 AM permalink
Quote: 100xOdds

Quote: aceside

The UTH house edge of 2.2% is referenced to your ante bet amount only.
link to original post

But the HE takes into account the Blind bet payout.
If you can have a different bet size for the Blind bet (ie: $10 Ante, $25 Blind), then the HE would be different.

The HE takes into account that the Blind bet amount is the same as the Ante amount.
link to original post


A UTH house edge is determined by that player’s strategy. If you follow the Wizard’s strategy, you might get a House Edge of +2.2%; however, if you follow Eliot’s strategy, you might get a House Edge of -2.4%. Strategy is the key! All these numbers are referenced to the ante bet amount only.
100xOdds
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January 16th, 2023 at 11:33:26 AM permalink
Quote: Actuarial

Why would you ever voluntarily put more money on the blind?
link to original post

it was just an example.
changed it to $5 instead of $25
Craps is paradise (Pair of dice). Lets hear it for the SpeedCount Mathletes :)
aceside
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January 16th, 2023 at 4:20:52 PM permalink
Quote: 100xOdds

That's like saying the HE for '3:2 s17 Blackjack' is .4% but EoR is lower because of double downs and splits?
link to original post


This saying is definitely correct.
odiousgambit
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January 17th, 2023 at 5:37:44 AM permalink
Quote: aceside

Quote: 100xOdds

Quote: aceside

The UTH house edge of 2.2% is referenced to your ante bet amount only.
link to original post

But the HE takes into account the Blind bet payout.
If you can have a different bet size for the Blind bet (ie: $10 Ante, $25 Blind), then the HE would be different.

The HE takes into account that the Blind bet amount is the same as the Ante amount.
link to original post


A UTH house edge is determined by that player’s strategy. If you follow the Wizard’s strategy, you might get a House Edge of +2.2%; however, if you follow Eliot’s strategy, you might get a House Edge of -2.4%. Strategy is the key! All these numbers are referenced to the ante bet amount only.
link to original post

OK, I'll bite, what is Eliot's strategy and how are the casinos keeping him away from the tables?
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Wizard
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January 17th, 2023 at 5:41:04 AM permalink
Quote: odiousgambit

OK, I'll bite, what is Eliot's strategy and how are the casinos keeping him away from the tables?
link to original post



I'll bite too. My best guess is he's assuming a flashing dealer or colluding players.
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teliot
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January 17th, 2023 at 6:34:12 AM permalink
Quote: Wizard

Quote: odiousgambit

OK, I'll bite, what is Eliot's strategy and how are the casinos keeping him away from the tables?
link to original post



I'll bite too. My best guess is he's assuming a flashing dealer or colluding players.
link to original post

Yes.
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aceside
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January 18th, 2023 at 9:37:26 AM permalink
Quote: odiousgambit

Quote: aceside

Quote: 100xOdds

Quote: aceside

The UTH house edge of 2.2% is referenced to your ante bet amount only.
link to original post

But the HE takes into account the Blind bet payout.
If you can have a different bet size for the Blind bet (ie: $10 Ante, $25 Blind), then the HE would be different.

The HE takes into account that the Blind bet amount is the same as the Ante amount.
link to original post


A UTH house edge is determined by that player’s strategy. If you follow the Wizard’s strategy, you might get a House Edge of +2.2%; however, if you follow Eliot’s strategy, you might get a House Edge of -2.4%. Strategy is the key! All these numbers are referenced to the ante bet amount only.
link to original post

OK, I'll bite, what is Eliot's strategy and how are the casinos keeping him away from the tables?
link to original post


I think your reasoning makes good sense. For this game of UTH, the house edge should be referenced to the total initial bet on this hand, which is the sum of ante bet and blind bet. This makes a house edge of about 1.1%.
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