What payout would a win in blackjack have to be in order to make the house edge roughly 10%?
August 10th, 2012 at 3:31:21 PM
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Assuming you're playing with:
- 8 decks
- Dealer hits soft-17
- Blackjack pays 1.5:1
- You can hit/split on any number
- dealer pushes on ties (forgot to add this but no matter)
- etc (whatever the standard rules are)
Roughly what payout on winning would give the house an edge of 10% (for example 0.6:1), assuming you aren't counting cards and you make the most long-term profitable moves?
Thanks in advanced! If any more info is needed in order to figure this out let me know.
- 8 decks
- Dealer hits soft-17
- Blackjack pays 1.5:1
- You can hit/split on any number
- dealer pushes on ties (forgot to add this but no matter)
- etc (whatever the standard rules are)
Roughly what payout on winning would give the house an edge of 10% (for example 0.6:1), assuming you aren't counting cards and you make the most long-term profitable moves?
Thanks in advanced! If any more info is needed in order to figure this out let me know.
August 10th, 2012 at 4:06:35 PM
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You might get close by keeping the payouts the same but not allowing doubling-down or splitting.
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
August 10th, 2012 at 4:08:38 PM
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Quote: rdw4potusYou might get close by keeping the payouts the same but not allowing doubling-down or splitting.
Hmm that could work, do you know approximately how much of an edge taking away each adds?
August 10th, 2012 at 4:15:00 PM
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The house edge for these rules is about 0.5%.
Probability for a paid Blackjack (no push) is 2 * (32/416) * (128/415) * (1 - 2 * (31/414) * (127 / 413)) = 4.53%.
If the overall house edge must reach 10%, the house needs additional 9.5%/4.53% = 2.10 units for each players Blackjack.
Since the house originally pays odds of 2.5, it would need to offer "odds" of 0.4.
So if you bet $100 and you get a blackjack, the house would simply take $60 from your bet, leaving you with $40.
Asking about profitable moves ? You would want surrender or hit your Blackjack hand.
Edit: Sorry, I missinterpreted your question that you only want to modify the 1.5:1 blackjack payout.
Probability for a paid Blackjack (no push) is 2 * (32/416) * (128/415) * (1 - 2 * (31/414) * (127 / 413)) = 4.53%.
If the overall house edge must reach 10%, the house needs additional 9.5%/4.53% = 2.10 units for each players Blackjack.
Since the house originally pays odds of 2.5, it would need to offer "odds" of 0.4.
So if you bet $100 and you get a blackjack, the house would simply take $60 from your bet, leaving you with $40.
Asking about profitable moves ? You would want surrender or hit your Blackjack hand.
Edit: Sorry, I missinterpreted your question that you only want to modify the 1.5:1 blackjack payout.
August 10th, 2012 at 4:15:08 PM
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Per my list of rule variations, giving ties to the dealer costs the player 8.86%. Then add 6-5 blackjack (1.39%) and you'll be at around 10.5%, depending on the other rules.
However, if forced to answer the original question, my rough guess would be to pay 4 to 5 on ordinary wins.
However, if forced to answer the original question, my rough guess would be to pay 4 to 5 on ordinary wins.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
August 10th, 2012 at 4:22:17 PM
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That table is very useful, appreciate the help.
August 10th, 2012 at 4:50:21 PM
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I run a quick calculation. For a payout of 0.78:1 house edge (infinte deck) is 10.01%.
Basic strategy would look like:
If one thinks a bit about reduced payout, hit and stand decisions would not alter, but one would double and split less often.
Basic strategy would look like:
2 3 4 5 6 7 8 9 T A
Hard 4 H H H H H H H H H H
Hard 5 H H H H H H H H H H
Hard 6 H H H H H H H H H H
Hard 7 H H H H H H H H H H
Hard 8 H H H H H H H H H H
Hard 9 H H H H D H H H H H
Hard 10 D D D D D D H H H H
Hard 11 D D D D D D D H H H
Hard 12 H H H S S H H H H H
Hard 13 S S S S S H H H H H
Hard 14 S S S S S H H H H H
Hard 15 S S S S S H H H H H
Hard 16 S S S S S H H H H H
Hard 17 S S S S S S S S S S
Hard 18 S S S S S S S S S S
Hard 19 S S S S S S S S S S
Hard 20 S S S S S S S S S S
Hard 21 S S S S S S S S S S
Soft 12 H H H H H H H H H H
Soft 13 H H H H H H H H H H
Soft 14 H H H H H H H H H H
Soft 15 H H H H H H H H H H
Soft 16 H H H H H H H H H H
Soft 17 H H H H D H H H H H
Soft 18 S S S S S S S H H H
Soft 19 S S S S S S S S S S
Soft 20 S S S S S S S S S S
Soft 21 S S S S S S S S S S
Pair 22 H H H H P H H H H H
Pair 33 H H H H P H H H H H
Pair 44 H H H H H H H H H H
Pair 55 D D D D D D H H H H
Pair 66 H H H P P H H H H H
Pair 77 S P P P P P H H H H
Pair 88 P P P P P P P H H P
Pair 99 S S S P P S S S S S
Pair TT S S S S S S S S S S
Pair AA P P P P P P P P P P
If one thinks a bit about reduced payout, hit and stand decisions would not alter, but one would double and split less often.
August 10th, 2012 at 4:55:21 PM
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DUHHIIIIIIIII HEARD THAT!
August 10th, 2012 at 5:11:33 PM
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Quote: MangoJI run a quick calculation. For a payout of 0.78:1 house edge (infinte deck) is 10.01%.
Good work! Pretty close to my educated guess of 4 to 5.
Quote: IbeatyouracesWho in their right mind would play this?
When I went to Finland in 1986 my hotel had blackjack with no hole card and player LOST on all ties. Surprisingly, the roulette table right next to it was single zero. I suppose some players must have played the blackjack game, because it was worth staffing it with a dealer, although I never noticed anybody playing either game.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
August 10th, 2012 at 5:48:14 PM
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DUHHIIIIIIIII HEARD THAT!
