Odds Of Losing Consecutive Blackjack Hands

Feb 12, 2009  The odds of a loss of a hand is actually somewhat higher than the odds of a win by a large amount, even with perfect playing strategy. With basic strategy the odds of a. Ignoring pushes, the probability of a win in contrast to a loss is.

Aug 20, 2014 Let's calculate the number of streaks of losing exactly four consecutive blackjack hands (from the Player's perspective). We symbolize a Dealer's win by L and a player's win by W. We can calculate the number of the streaks consisting of exactly four consecutive losses for the Player. The 20 extra blackjack hands are most mathematically likely allocated as 11 (52%) to the dealer and 9 (48%) to the player. Thus, the dealer can expect up to 11 consecutive wins in 1000 hands – one time; the player can expect up to 9 consecutive wins in 1000 blackjack hands - once. The probability.


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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

Odds Of Losing Consecutive Blackjack Hands Meme

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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

Odds Of Losing 7 Straight Blackjack Hands

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

Odds Of Losing Consecutive Blackjack Hands

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:

Odds Of Losing Consecutive Blackjack Hands Lyrics

06-29-2004, 03:50 AM

Odds Of Winning Blackjack

Here's yet another blackjack question. What I am after here is mathematical proof that my 'system' is better, worse, or just the same as any other system.
I typically only play 2 or 3 deck games, so let's consider just that scenario. I don't know why, but I have always had better luck with my system with 2 or 3 deck games.
OK, let's say I play a perfect strategy, that is, I hit when I should, stay when I should, etc. What are the odds I will lose the hand? What are the odds I will lose 2 hands in a row? What are the odds I will lose 3 hands in a row? And so on...
I have always used a modified-martingale system for wagering on blackjack. I haven't kept track if I have won more than I have lost (probably not), but I have had some great winning streaks with this system.
So here's my strategy. Let's say I sit at a $5 table, I play $5 per hand until I lose 3 hands in a row. Then I double my bet to $10, win or lose I double it again to $20, win or lose I step back to $10 until I lose a hand, then back to $5 and start the system over again.
I actually get bored to death playing this strategy, because I am sitting there waiting to do my wager-progression most of the time. But when it's working in my favor, I sure get a lot of attention at the table (unwanted attention, especially from pit bosses).
OK guys and gals, rip it up. :)