Wizard Of Odds Blackjack Charts


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Blackjack Probability and Blackjack Odds

To fully understand the game of blackjack, you must understand and master blackjack odds. It's crucial to know how the casino gains its edge and how it helps them win. It's also important to understand blackjack odds such as the odds of hitting a 10 or the odds of being dealt a blackjack. You can read over these blackjack odds charts to help understand the logistics behind blackjack.

Casino and Dealer Advantage in Blackjack

In most casino games of blackjack, the house advantage (the dealer advantage) is ~ 8%. The house gets this advantage by the dealer being the last player to act. By acting last, all other players have already made their decisions and could quite possibly bust before the dealer has his turn.

By using correct blackjack basic strategy, you can turn the casino edge in blackjack from 7%-8% down to 0.5%. If you correctly use advanced card counting techniques, you can often change blackjack odds and give yourself the advantage over the casino. Manipulating the house odds to your favor is the reason most casinos don't allow card counters to play blackjack.

Probability of Busting on a Hit

It's very important to know the probability of your hand busting when you are holding any total in the game of blackjack. The following odds chart shows the blackjack odds of busting, depending on your current hand value:

Hand Value% Bust If You Hit
21100%
2092%
1985%
1877%
1769%
1662%
1558%
1456%
1339%
1231%
11 or Less0%

Two-Card Count Frequencies

This interesting blackjack odds chart is the two card count frequency chart. This chart shows the percentage chance that you will be dealt a hand in each given value range. The most important frequencey to note is the chance of being dealt a natural blackjack (natural 21 value. The odds of being dealt a natural blackjack are merely 4.8%. Following this chart you will see that the most common two card hand, at 38.7%, is a hand totaling 1-16, which is considered a decision hand.

Two Card Count% Frequency
Natural 214.8%
Hard Standing (17-20)30.0 %
Decision Hands (1-16)38.7%
No Bust26.5%
TOTAL100.0%

Dealer Final Hand Probabilities

This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a hand totaling each corresponding value (up to 16). Read over this chart to understand the odds that the dealer has to make his final hand.

Dealer Final Hand Value%Cumulative % Total
Natural 214.82%4.83%
21 (3 or More Cards)7.36%12.19%
2017.58%29.77%
1913.48%43.25%
1813.81%57.06%
1714.58%71.64%
1628.36%100.00%

Player Advantage vs. Dealer Up Card

The first two columns in this odds chart explain the dealer's chance of busting, depending on the up card that he is showing. You should note that the dealer has the highest chance of busting when he is showing a 5. The third column in this chart shows the player advantage of using basic strategy, compared to each up card the dealer is showing. You can see that the player has the highest advantage of 23.9%, when the dealer is showing a 5. When the dealer is showing any card that is 9 value or higher, the player is in the negative advantage range.

Dealer Up CardDealer Bust %Player Advantage % with Basic Strategy
235.30%9.8%
337.56%13.4%
440.28%18.0%
542.89%23.2%
642.08%23.9%
725.99%14.3%
823.86%5.4%
923.34%-4.3%
J,Q,K21.43%-16.9%
A11.65%-16.0%

Effects of Removing Cards from a Deck

When looking at the odds of removing certain cards from a 52-card deck, some cards have a much greater effect on blackjack odds. To create the strongest card counting system ever invented, you would have to incorporate all of these slight and subtle differences into the numbers to be a completely accurate system.

Removing every 5 from a deck cards would make the largest impact of improving your blackjack odds, as a player. On the other hand, removing every Ace from a deck of cards would make the largest impact on improving the odds for the casino.

Card% Effect of Removal
20.40%
30.43%
40.52%
50.67%
60.45%
70.30%
80.01%
9-0.15%
10-0.51%
A-0.59%

See also:

Images for wizard of odds blackjack strategy calculatorHow to Win Against Blackjack Dealers“What wizard of odds blackjack strategy chart is piggybacking in blackjack?”

The Cancellation Betting System - Wizard of OddsA FEW FACTS ABOUT HARD HANDSBlackjack Chart wizard of odds blackjack strategy chart with Surrender

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Wizard Of Odds Blackjack Strategy

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Wizard Of Odds Blackjack Chart

When the Dealer is Showing an Ace, 10, or Face Card5 Jul 2010 .. Blackjack Basic Strategy. Decks: 4 or more. Soft 17: Dealer Stands. Dealer Hits. Double After Split: Allowed. Not Allowed. Surrender: Not Allowed. Allowed with any dealer upcard. Allowed on a dealer 2 through 10. Dealer Peek: Dealer peeks for blackjack. No peek/no hole card (European) “Are there blackjack betting strategies, and do any of them work?” Blackjack Basic Strategy and House Edge Calculation Spreadsheet ..Update Your Review Nearest Casino to Anaheim California

  1. 21 Sep 2007 .. To use the basic strategy look up your hand along the left vertical edge and the dealer's up card along the top. In both cases an A stands for ace ..
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Here I show how to create the blackjack basic strategy in Excel from a blank spreadsheet.Googledocs - https://drive.google.com/file/d/0B2R9...

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Probability of Losing

To test this strategy I wrote a computer program to perform ten million sessions at various bankrolls on both roulette and craps. When applied to craps the bet was on the pass line which pays even money and has a probability of winning any given trial of 244/495 =~ 49.29%. In roulette the basic bet is any even money bet, which has a probability of winning of 47.37%. Naturally it is to the players advantage to apply this strategy, as well as any other, to craps as opposed to roulette. As with any betting system the ratio of the total amount lost to total amount bet was always very close to 1.41% in craps and 5.26% in roulette over the entire ten million sessions. Below are the results:

Results Against Roulette

572.9%7.617.8
1058.2%11.731.1
2042.2%15.150.7
5021.5%19.390.0
10015.3%21.4129.7
2009.2%22.8177.2
3006.8%23.3208.6
5004.6%23.8252.8
7503.3%24.0291.0
10002.7%24.1321.1
Bankroll Probability ofSession Loss Average Trialsper Session Average TotalBet per Session

Results Against Craps

568.4%7.818.3
1052.2%11.831.2
2035.7%14.849.1
5018.6%18.382.3
10010.6%19.9112.6
2005.7%20.7144.9
3004.0%21.0164.8
5002.5%21.3190.4
7501.7%21.4211.6
10001.3%21.5227.0
Bankroll Probability ofSession Loss Average Trialsper Session Average TotalBet per Session OddsBlackjack

The bankroll is in units, you decide how much a unit is. For example if you wish to risk 0 you might decide to make each unit for a bankroll of 50. If you play this system against craps you have a 81.4% of winning 10 units, or , and a 18.6% chance of losing all 50 units, or 0.

Blackjack Basic Strategy Odds

Many systems out there are based on the kind of principle in this system. Instead of wasting your money by paying for a system you are welcome to use this one and use the money you saved to see a show. If you play this system, or any other, I wish you well but just don’t expect to show a profit over the long haul.

It should be noted that this system can be modified for any number of starting numbers, and they don't have to be ones. However, in the long run, no matter how the player uses it, he not only can't overcome the house edge, he can't even dent it.

Wizard Of Odds Basic Strategy

29 Jun 2017 .. Why is it that most blackjack players lose at a casino game that is beatable? It's because they .. MISTAKE 2: NOT USING BASIC STRATEGY.MATH OF PAIR SPLITTING Basic strategy blackjack odds - Google SearchPlayer Hand ProbabilitiesNamespaces