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blackjack calculation decks dealt.
For more information on penetration, and a formula for quickly and easily calculating the profitability of any blackjack game, see the Snyder Profit Index in Chapter 11 of Blackbelt in Blackjack.
This rest of this article will deal with the number of decks in play and the effects of rules on the profitability of blackjack games.
Before you can profit from any card counting system, you must overcome the house edge´┐Żthat is, the cost in percent of playing the game.
Below you will find all the information you need to quickly calculate the basic strategy house edge for any number of decks and any set of blackjack rules.
How the House Edge is Affected by the Number of Decks in Play Now let's consider the effect of the number of decks shuffled together.
All other conditions being equal, single-deck games would be the most profitable for card counters.
The more decks being used, the less profitable the game becomes, not only for card counters, but for basic strategy players as well.
A single-deck Vegas Strip game blackjack pays 3:2, double down on any two cards, and dealer stands on soft 17 , is pretty close to being a break even proposition for a basic strategy player.
With four or more decks in play, and the same set of rules, the house has about a ? percent edge.
Use this chart to estimate your basic strategy dis advantage due to the number of decks in play: Decks Advantage 1 +0.
Some rules, notably those that offer the player more options, are favorable to the player, assuming the player applies the correct strategy.
Such rules would be surrender, doubling after splitting allowed, resplitting aces allowed, etc.
Now let's look at the approximate effect of each rule on your basic strategy expectation.
By adding the effect of the number of decks in play to the effects of the rule variations, you will know the house advantage against basic strategy players.
Card counters call this the starting advantage, or the advantage off the top.
Most rules, to be sure, affect card counters differently than they affect basic strategy players.
The house edge off the top, however, is always an important consideration, as this is what your skillful play must overcome.
For instance, insurance has no value to a basic strategy player, since correct basic strategy is to never take insurance.
If a casino disallows insurance, however, this hurts card counters, since counters profit from their selective insurance bets.
Likewise, the surrender option has little value to basic strategy players--less than one-tenth of 1 percent increase in expectation.
For a card counter, however, surrender is, like insurance, very valuable.
In order to figure out our starting advantage, we need to begin by defining a benchmark game, i.
Most authors define this benchmark game as Vegas Strip rules: 1.
Dealer stands on soft 17.
You may double down on any 2 original cards.
You may not double down after splitting a pair.
You may split any pair.
You may resplit any pair except aces.
Split aces receive only one card each.
Player blackjack is paid 3 to 2.
Now the effect of any other rules must be accounted for in determining your starting advantage.
These are the rule effects: Effects in Percent Common Rules 1-Deck 2-Deck Multi-Deck Double on 10-11 only: -0.
Note that the last five rules show effects of 00.
The first player would receive a 50:1 payout on his hand, while the second player would receive only an extra half-bet.
This rule is a killer.
Consider a standard Atlantic City 8-deck game, which allows double after splits, but no resplits.
Our basic strategy expectation is derived by adding together the effects of the number of decks in play, and the rule effects from the multi-deck column.
We get: 8 Decks: -0.
That means paying attention to the house edge from the number of decks and blackjack rules, crowd conditions, and, above all, penetration.
Believe me, the casinos are dead serious about beating you.
Back to Back to the ´┐Ż 2004-2005 Blackjack Forum Online, All Rights Reserved.{/INSERTKEYS} {INSERTKEYS}Calculating the House Edge for Any Number of Decks and Blackjack Rule Set Calculating the House Edge for any Blackjack Game HOW TO WIN AT BLACKJACK: CONTENTS What It Is, Why It Works New!
This article will give you simple guidelines you can follow that will help to keep you from throwing your money away in unbeatable games.
There are four distinct conditions of any blackjack game that directly affect the profit potential for card counters: 1.
The number of decks in play.
There are about two dozen common rule variations, and dozens more uncommon variations, in U.
You may be the only player at the table, or one of as many as seven.
Crowded tables mean fewer hands per hour and lower earnings for card counters.
Depth of deal, or deck penetration, between shuffles.
Anywhere from 2% to 90% of the cards may be dealt out.
The House Edge and Depth of the Deal Penetration Of all of these table conditions, penetration is by far the most important.
When I published my first book, The Blackjack Formula, in 1980, many players were skeptical of the weight I gave to the effect of deck penetration.
No other authors had mentioned penetration as an important factor up to that time, and I received numerous letters from players who simply could not believe that there was any great difference in profitability between a single-deck Reno game with 55% penetration and one with 65% penetration.
These days, any decent book on card counting will tell you that penetration is the name of the game, but before my book in 1980 no one knew!
None of the books on card counting had ever mentioned the importance of deck penetration before.
The general rule is this: The shallower the penetration, the larger the betting spread you must use to beat the game.
With a bad set of rules and poor penetration, you may not be able to beat the game with any spread.
With 4 or more decks, a bare minimum of 70% of the cards should be dealt out.
Regardless of the number of decks in play, a 10% difference in penetration will make a huge difference in your profit potential: A 6-deck game with 85% penetration about 5 decks dealt is vastly superior to a 6-deck game with only 75% about 4 ?

How to Count Cards (and Bring Down the House)

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Use our House Edge Blackjack Calculator to increase your odds over the dealer. Calculate the casino's blackjack advantage based on the rules offered.


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Total 26 comments.