Archive for the ‘Online Blackjack Strategies’ Category
Blackjack – How To Read The 6 Deck/75% Dealt Chart Part3
June 13th, 2009
Now, let's look at the five rows of data beneath the betting systems, labeled Hands Bet I100, Average Bet, Gain/Hand, Win Rate %, and Hourly Units. The data in these rows is derived from the columns. I'm not going to go into the precise formulas for obtaining all of these numbers, but I want you to understand the basic logic of how a mathematician figures out the value of a game and a betting strategy. None of this is rocket science.
Hands Bet/100 is a pretty easy number to come up with. Remember that the table-hopping/back-counting player is not betting on every hand; rather, he watches a lot of hands without betting, trying to avoid betting into any significant house edge. If you add up all of the numbers in the Hands column that show a bet greater than 0 in the respective 5 columns, you come up with how many hands (out of 100 hands seen), the player using each betting system would bet on. In 5-7, for instance, the numbers in the Hands column where we see player bets are:
34 + 13 + 8.5 + 4.5 + 3.5 + 2 + 2 + 1 + .5 = 69
Notice that with the betting systems where the player waits for a higher advantage before placing a bet, the entry in the Hands Bet/100 goes down.
Look at the next row, Average Bet. This is also pretty easy to figure out. Looking closely, you'll see that with 5-7 through 5-4, the Average Bet is always 1.0, because the player always bets one unit. But when the player starts spreading his bets upward, the average amount bet per hand goes up, as expected.
The next row is Gain/Hand. These entries tell us how many units, per hand played, the player would win with each betting system. The 5-7 entry is 0.002—if you multiply this number by your betting unit, you get the dollar amount you would win for every hand you played with this betting system.
Let's say your betting unit is $100.
$100 x 0.002 = .20, or 200 per hand
If that strikes you as an awfully small gain on a $100 bet, you're starting to think like a pro! (In fact, the actual gain is even smaller, only 160 per hand. The only reason we came up with 200 per hand is because the table entries are rounded off to three decimal places. The true gain per hand is 0.0016. Yuck!)
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Blackjack – How To Read The 6 Deck/75% Dealt Chart Part2
June 12th, 2009
Now we come to the various betting strategies we might try in this game. For our analysis, we'll look at eight different betting systems, which I've labeled S-l through S-8. Each of those columns represents a different way that card counters might bet in this game. The numbers in each column represent the number of units bet at each of the various advantages that occur. Note that zeros fill the whole upper portion for all of the betting systems. This is because all of the betting systems shown here are table-hopping approaches. The player is usually not betting anything when the advantage is negative.
In S-7, for instance, the player is using a 1 to 4 betting spread. Note that when the house has a 1/2% edge over him (-0.5%), such as when dealing right off the top of a fresh shoe, he bets 1 unit, and he also bets 1 unit when his edge is even with the house (0.0%). When his advantage is 0.5% over the house, he increases his bet to 2 units; and when it is 1.0% or more, he bets 4 units. The S-7 player is using a typical 1 to 4 betting spread in this game, but leaves the table when the count goes negative. Look at all eight betting systems, and make sure you understand how each player attacks this game.
6 Decks 75% Dealt
Adv. Hands S-1 S-2 S-3 S-4 S-5 S-6 S-7 S-8
-4.0% 0.0 0 0 0 0 0 0 0 0
-3.5% 1.0 0 0 0 0 0 0 0 0
-3.0% 2.0 0 0 0 0 0 0 0 0
-2.5% 3.0 0 0 0 0 0 0 0 0
-2.0% 4.0 0 0 0 0 0 0 0 0
-1.5% 8.0 0 0 0 0 0 0 0 0
-1.0% 13.0 0 0 0 0 0 0 0 0
-0.5% 34.0 1 0 0 0 1 1 1 1
0.0% 13.0 1 1 0 0 1 1 1 1
0.5% 8.5 1 1 1 0 2 2 2 2
1.0% 4.5 1 1 1 1 2 3 4 4
1.5% 3.5 1 1 1 1 2 3 4 8
2.0% 2.0 1 1 1 1 2 3 4 8
2.5% 2.0 1 1 1 1 2 3 4 8
3.0% 1.0 1 1 1 1 2 3 4 8
3.5% 0.5 1 1 1 1 2 3 4 8
4.0% 0.0 1 1 1 1 2 3 4 8
Hands Bet/100: 69 35 22 14 69 69 69 69
Average Bet: 1.00 1.00 1.00 1.00 1.32 1.51 1.71 2.23
Gain/Hand: .002 0.008 .013 .017 .006 .009 .012 .023
Win Rate %: .16% .79% 1.26% 1.74% .42% .59% 0.72% 1.05%
Hourly Units: .11 .28 .28 .24 .39 .62 .86 1.62
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