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More decks means slightly fewer blackjacks. In six decks, the probability drops further yet to %. Double Downs Work Better in Fewer Decks.


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Why Do More Decks Increase the House Edge in Blackjack? - Tunica
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The player can also stand (receive no more further cards). Once the player has had their turn, the dealer takes cards. The hand closest to 21 –.


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strategy charts for 4-deck to 8-deck blackjack by the Wizard of Odds. hit against a dealer 9, 10, or A. Always stand on soft 19 or more.


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It is played with one or more decks of 52 cards, and is the most widely played casino banking game in the world Contents. 1 History.


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One of the larger effects (but still small) is the probability of getting a blackjack. With one deck there are 4 aces, 16 tens and 52 cards. There are ways to get a.


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More decks means slightly fewer blackjacks. In six decks, the probability drops further yet to %. Double Downs Work Better in Fewer Decks.


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More decks means slightly fewer blackjacks. In six decks, the probability drops further yet to %. Double Downs Work Better in Fewer Decks.


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I am not sure altering the players game with the knowledge of the final restrictions should be allowed the last sentence of your summary. The challenge, however, is how to test this theory. Figure 4. Just my thoughts. You make a good point that all of the factors contribute to the effect. The biggest difference to me is the accuracy expected from composition dependent strategy. In SD it is of great use off the top but becomes less relevant as the count gets the chance to move. Never double down, never split a pair. Sorry, your blog cannot share posts by email.{/INSERTKEYS}{/PARAGRAPH} This is a real and easily calculated effect, but only a minor secondary one. Gain in expected value relative to an infinite shoe vs. The point is that the trend remains; even with no blackjacks, fewer decks are still better for the player. You are commenting using your Google account. Skip to content. {PARAGRAPH}{INSERTKEYS}Figure 1. After all the player jumps off the cliff first but can vary his play to avoid it. Expected value in percent of initial wager vs. Figure 2. The player makes strategy decisions to stand, hit, double down, or split, in optimal composition-dependent manner, as usual. It is fairly useless in shoe games because of dilution at the start and irrelevance deep in a shoe. You are commenting using your Facebook account. This indicates that the match ups are much more favorable to the player with fewer decks in the unrestricted game but slightly worse if the probability of what only the dealer can draw is fixed. Just as blackjacks for the player or the dealer are more likely with fewer decks, so is the probability of the dealer busting, as this plot shows. Note that the number of decks are indicated on a logarithmic scale, to emphasize the asymptotic behavior of expected return as the number of decks grows large. Notify me of new posts via email. Home About. Post was not sent - check your email addresses! February 8, at am. What else is there that varies with number of decks? It seems to me that each of the above factors accounts for some of the reason. The following plot shows the gain in expected return vs. A similar restriction to your last one on the player only and both the player and dealer would round out your investigation nicely. It puts in a new and irrelevant factor into the data. When there are less decks, each time when a card is dealt form the deck, the change in the odds for receiving each card will be greater in magnitude. This is where we left off last week. Blog at WordPress. Email required Address never made public. Figure 3. Unfortunately, this also turns out not to be the case. February 8, at pm. I showed the "optimal player" version in the post, since it makes a stronger statement than any of the others; i. Expected value vs. If you imagine an even money side bet that the dealer busts, you can verify from the numbers in this plot that such a bet has almost exactly the same trend and range of expected return as the red points in Figure 5. The outcome indicates whether the dealer busts, or stands with total 17 through In this way, the player has all of the strategy options as in the normal game, with the sole exception of the bonuses and penalties of blackjacks since we have already quantified that effect. Notify me of new comments via email. August 20, at pm. You are commenting using your Twitter account. This site uses Akismet to reduce spam. Possibly Wrong. What I found interesting was the relative size of those contributions. Figure 5. Of course to a BS player there is no difference in information to base a decision on as you get more penetration. June 8, at am. That is, even if we fix our playing strategy, maybe the advantage of being able to double down or split is greater with fewer decks? Hi, I know this post is old, but I am curious about a few thing. If you do test it, what else do you think this experiment can tell us about the game? But more importantly, the probability that the dealer busts is also greater with fewer decks. Figure 6. I am having a little trouble understanding. It also reflects a decreased likelihood of blackjack-blackjack push in a game with fewer decks. This mainly reflects an increased likelihood of player blackjack, since if the players draws a ten on their first card, the subsequent probability of drawing an ace is higher with fewer decks. Search for:. Bookmark the permalink. Like this: Like Loading This entry was posted in Uncategorized. Leave a Reply Cancel reply Enter your comment here Fill in your details below or click an icon to log in:. When the player varying his play, as BS does with fewer decks differently than shoe games, does the difference in BS employed in shoe games and SD contribute to the gain. What else might be the cause of the trend? You are commenting using your WordPress. Learn how your comment data is processed. The following plot shows the resulting behavior of gain in expected return vs. This sufficiently large number of decks turns out to be We can test this theory in a similar fashion, by preventing the playing strategy from varying with number of decks, and seeing if the trend disappears. The last part of this would be to see the effect of fewer decks on player busts. The following plot shows this trend with the points in red, with the points in blue corresponding to the normal game as in Figure 1. Post to Cancel. This is a reversal of the normal trend seen. Name required. Can what I have read so far be summarized as such? Consider the difference in SD and infinite deck gain about 0.