Why is the House Edge in a 2 Decks Game different from a 6 Deck Game ?
February 10th, 2011 at 3:18:02 AM
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Hello,
Can somebody explain me, why the House Edge in a 2 Deck Blackjack game is lower then with 6 Decks ?
The Rules are assumed to be the same, and it would be played with a stratey .. no card counting.
Thanks in advance
usarobert
Can somebody explain me, why the House Edge in a 2 Deck Blackjack game is lower then with 6 Decks ?
The Rules are assumed to be the same, and it would be played with a stratey .. no card counting.
Thanks in advance
usarobert
February 10th, 2011 at 10:12:28 AM
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The more decks there are in play, the harder it is to get a blackjack.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
February 10th, 2011 at 10:51:39 AM
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...and the easier it is for the dealer to not-break.
"So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett
February 10th, 2011 at 11:09:17 AM
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Better chance for you to get a blackjack, your double-downs will work slightly more often, and the dealer will bust slightly more often.
"Dice, verily, are armed with goads and driving-hooks, deceiving and tormenting, causing grievous woe." -Rig Veda 10.34.4
February 10th, 2011 at 11:44:11 AM
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Even if you aren't counting, there is still a very slight edge in knowing your 2 cards. If you have a 5 and a 6, the odds of the next card being a 10 are slightly higher with fewer decks.
February 11th, 2011 at 2:08:28 AM
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hmm .. I don't understand why ..
every Deck has 4 Aces and 16 Cards at the Value of 10 ..
So if I have one Deck the probability of getting an Aces is 4 out of 52 or 7,69% getting a Card with Value 10 is 16 out of 52 or 30,77%.
If I now increase the Number of Decks the Number of Aces an 10s will also go up.
Lets say 4 Decks
Aces is 16 out of 208 or 7,69 % (!!)
10s is 64 out of 208 or 30,77% (!!)
the same
so why is the odd different to get a 10 if it are 2 Decks or 4 or 6 Decks ??
every Deck has 4 Aces and 16 Cards at the Value of 10 ..
So if I have one Deck the probability of getting an Aces is 4 out of 52 or 7,69% getting a Card with Value 10 is 16 out of 52 or 30,77%.
If I now increase the Number of Decks the Number of Aces an 10s will also go up.
Lets say 4 Decks
Aces is 16 out of 208 or 7,69 % (!!)
10s is 64 out of 208 or 30,77% (!!)
the same
so why is the odd different to get a 10 if it are 2 Decks or 4 or 6 Decks ??
February 11th, 2011 at 4:22:18 AM
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Quote: usarobert
the same
Only when you are looking at the first card. But suppose you already got an ace. What is the probability of getting a ten now?
"When two people always agree one of them is unnecessary"
February 11th, 2011 at 5:47:33 AM
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Let's say that the dealer has a 10 on top. What are the odds in a double deck game that s/he has another 10?
Answer is 31 / 103. = 30.10 percent
For six decks, the answer is 95 / 311 = 30.55 percent.
That .45 percent affects house advantage. The tables take into accounts the effect of card removal and the strategy changes to show the change in odds as a result of it.
The thing to know is that the more you know about the cards played, the more information you have to change your strategy and change the game to your advantage. Dealers have a hard set of rules to abide to. Players don't.
Answer is 31 / 103. = 30.10 percent
For six decks, the answer is 95 / 311 = 30.55 percent.
That .45 percent affects house advantage. The tables take into accounts the effect of card removal and the strategy changes to show the change in odds as a result of it.
The thing to know is that the more you know about the cards played, the more information you have to change your strategy and change the game to your advantage. Dealers have a hard set of rules to abide to. Players don't.
-----
You want the truth! You can't handle the truth!
February 11th, 2011 at 10:32:28 AM
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Quote: usaroberthmm .. I don't understand why ..
every Deck has 4 Aces and 16 Cards at the Value of 10 ..
So if I have one Deck the probability of getting an Aces is 4 out of 52 or 7,69% getting a Card with Value 10 is 16 out of 52 or 30,77%.
If I now increase the Number of Decks the Number of Aces an 10s will also go up.
Lets say 4 Decks
Aces is 16 out of 208 or 7,69 % (!!)
10s is 64 out of 208 or 30,77% (!!)
the same
so why is the odd different to get a 10 if it are 2 Decks or 4 or 6 Decks ??
If you are playing single deck, and you get dealt an Ace, the chance of getting a blackjack is now 16/51. If you were playing double deck, the chance of getting a blackjack would now be 32/103--a smaller number. Also, you could look at it like this--if you had a "quarter deck" consisting only of the spades 2-A, then you would have a 1/3 chance of getting a blackjack after being dealt an Ace--and 1/3 is a larger number than either 16/51 or 32/103.
The calculation would be similar for the chance of getting a blackjack after being dealt a face card. The reason is, removing the first card from the deck/shoe has a decreasing effect as the number of decks increases.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
February 11th, 2011 at 11:34:41 AM
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There are other considerations in play. Multiple decks have a considerably greater chance of delivering a pair (up to 30% difference). Which are favorable in most cases.
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February 11th, 2011 at 6:25:04 PM
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Quote: P90There are other considerations in play. Multiple decks have a considerably greater chance of delivering a pair (up to 30% difference). Which are favorable in most cases.
Maybe so, but the effect isn't that large or that favorable. With many first cards, you don't WANT another one of the same rank: 22, 33, 44, 66, 77, 88 are all bad hands, made less bad by the ability to split pairs, but still not hands you want.
The fact that a believer is happier than a skeptic is no more to the point than the fact that a drunken man is happier than a sober one. The happiness of credulity is a cheap and dangerous quality.---George Bernard Shaw
February 11th, 2011 at 7:33:00 PM
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Perhaps, but neither is 78 any better than 77. Not getting the same card doesn't yet mean you'll get a better one. The pair card is the worst possible one only for 88. And with 5 and T (comprising 5/13 of all cards), you actively want another one, it being second only to 6 and Ace respectively.
Overall, the pair card is neither better nor worse than the average on its own, but gives you a shot at splitting.
Overall, the pair card is neither better nor worse than the average on its own, but gives you a shot at splitting.
Resist ANFO Boston PRISM Stormfront IRA Freedom CIA Obama
March 1st, 2011 at 10:12:23 AM
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deleted
DUHHIIIIIIIII HEARD THAT!
