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Wizard
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Wizard
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June 2nd, 2023 at 3:08:52 PM permalink
Pokergrinder mentions the game Texas Bullseye in the Casino Chip of the Day Thread. Here are the rules, as I understand them:

  • Six decks
  • Decks have all standard 10-point cards removed and replaced with 13 Bullseye cards.
  • Bullseye cards are worth 10 points.
  • Blackjack pays 3-2
  • Dealer peeks for blackjack
  • Dealer hits soft 17
  • Double after split allowed
  • Surrender not allowed
  • Re-splitting aces not allowed
  • $1.30 fee per hand to play.
  • Minimum bet = $10, Maximum bet = $200


So, think of it like regular blackjack, except three of the four kings are removed from every deck (leaving 13 10-point cards per deck).

Here is my basic strategy:



Before considering the fee to play, I get a house edge of 1.78%.

With a $10 bet, I get an overall house edge, including the fee, of 13.08%.
With a $200 bet, I get an overall house edge, including the fee, of 2.41%.

The question for the poll is would you play Texas Bullseye?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
PokerGrinder
PokerGrinder
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June 2nd, 2023 at 4:05:30 PM permalink
Thanks for doing the math! The HE with $10 bet is nasty lol.
You can shear a sheep a hundred times, but you can skin it only once. — Amarillo Slim Preston
DogHand
DogHand
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June 2nd, 2023 at 8:01:01 PM permalink
Quote: Wizard

Pokergrinder mentions the game Texas Bullseye in the Casino Chip of the Day Thread. Here are the rules, as I understand them:

  • Six decks
  • Decks have all standard 10-point cards removed and replaced with 13 Bullseye cards.
  • Bullseye cards are worth 10 points.
  • Blackjack pays 3-2
  • Dealer peeks for blackjack
  • Dealer hits soft 17
  • Double after split allowed
  • Surrender not allowed
  • Re-splitting aces not allowed
  • $1.30 fee per hand to play.
  • Minimum bet = $10, Maximum bet = $200


So, think of it like regular blackjack, except three of the four kings are removed from every deck (leaving 13 10-point cards per deck).

Here is my basic strategy:



Before considering the fee to play, I get a house edge of 1.78%.

With a $10 bet, I get an overall house edge, including the fee, of 13.08%.
With a $200 bet, I get an overall house edge, including the fee, of 2.41%.

The question for the poll is would you play Texas Bullseye?
link to original post


Wiz,

Wait a minute... If the $10 player pays $1.30 just to play the hand, and the non-ante house edge is 1.78%, how can the overall house edge be "only" 13%? The ante alone is already 13%... What am I missing?

Dog Hand
charliepatrick
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June 3rd, 2023 at 2:46:51 AM permalink
Am I missing the obvious? They remove some of the 10s; they hit soft 17; and on top of that they then charge you a fee for the priviledge. None of these seem to be in the player's favour unless it's free beer, free meals, etc.

But then I'm now hearing that triple-0 roulette is becoming popular, so who knows!
billryan
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June 3rd, 2023 at 5:42:59 AM permalink
Quote: charliepatrick

Am I missing the obvious? They remove some of the 10s; they hit soft 17; and on top of that they then charge you a fee for the priviledge. None of these seem to be in the player's favour unless it's free beer, free meals, etc.

But then I'm now hearing that triple-0 roulette is becoming popular, so who knows!
link to original post




Think of it as a fee for chasing away those old folks who don't understand the purpose of gambling is to look good and have fun. If they wanted to hear math lectures, they'd have stayed in school.
The difference between fiction and reality is that fiction is supposed to make sense.
Wizard
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Wizard
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June 5th, 2023 at 3:23:33 PM permalink
Quote: DogHand

Wait a minute... If the $10 player pays $1.30 just to play the hand, and the non-ante house edge is 1.78%, how can the overall house edge be "only" 13%? The ante alone is already 13%... What am I missing?

Dog Hand
link to original post



The no-fee house edge is 1.78%. The fee is $1.30.

So, if you bet the minimum $10, plus the $1.30 fee you can expected to lose $10*0.0178 + $1.30 = $1.48.

The house edge on a $10 bet, plus $1.30 fee is $1.48 / $11.30 = 13.1%.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
Wizard
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Wizard
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June 5th, 2023 at 5:41:44 PM permalink
My page on Texas Bullseye is up at Wizard of Odds.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
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