Odds Of Winning Blackjack Against Dealer
If you want to use the Oscar System to win at blackjack, you need to follow four basic rules: Whenever you win, increase your bet by one chip. Whenever you lose, play the same amount you just bet. If you made any money in the session, pocket your winnings and start the progression again. The Blackjack Odds and the House Advantage. The house has an advantage in blackjack simply because the player has to draw first and if he busts, the player automatically losses regardless if the dealer subsequently busts in the same round. This is the casino's solitary advantage in blackjack and if everything were equal. Dec 11, 2005 Many games use multiple decks of cards in order to discourage card counting, throwing off your ability to track your odds of winning. Most games of blackjack require the dealer to stop at 17, even if this means the dealer loses, but the rules may allow for the dealer to hit on a soft 17, which is a 17 made with an ace (the ace can be a one or an 11).
- Match The Dealer Blackjack Odds
- Odds Of Winning Blackjack Hand
- Odds Of Winning Blackjack Against Dealers
Blackjack strategy, applied perfectly, makes blackjack one of the most potentially lucrative games in the casino. If you play blackjack by the numbers, the House only has an edge of half a percent. That means if you spend $100 at a blackjack table in an hour, and you play using perfect basic strategy, you only stand to lose about 50 cents. The low house edge makes blackjack a truly cheap form of entertainment.
Blackjack rules give the game a certain purity of probability, a statistical beauty that statisticians and math nerds have exploited over the years to come up with blackjack strategy. Odds and probabilities are a huge part of winning at blackjack, so if you want to win big money at the casino, you have to understand the game’s odds and probabilities.
Blackjack Math
Match The Dealer Blackjack Odds
Blackjack strategy cards are sold at every casino gift shop in Vegas. These cards range from simple “if ___ happens, do ___” suggestions all the way up to cards with multiple rule change options on strategy. Casinos sell these cards because most people are more interested in playing a game and making big gambles than methodically picking apart the House using blackjack math and a little plastic card.
Odds Of Winning Blackjack Hand
Blackjack math gives players an informed opinion about what move to make next. Rather than taking a random gamble, blackjack strategy uses odds and probabilities to tell you the move most likely to end in you beating the House. Blackjack strategy tips are more than educated guesses, they have hard math to back them up.
Here are some blackjack math basics: any deck of 52 cards contains a certain number of cards worth 10 points and a certain number of cards worth their face value. The odds of pulling a single face value card, like a 7 or a 9, is 4 out of 52. or 7.69%.
There are 16 cards in a standard deck with a value of 10 points: four 10s, four Jacks, four Queens, and four Kings. That means the odds of drawing a 10-point card are 16 out of 52, or 30.8%.
Players are four times more likely to draw a card worth ten than any other card value. 10 point cards outnumber all others, so most blackjack strategy is built around figuring out the probability of the player or the dealer drawing those high point value cards.
Using Blackjack Odds & Probabilities
The math behind the game of blackjack has a direct effect on proper blackjack strategy. We just saw how much more likely a blackjack player is to draw a 10 point card than any other card, but how does that effect blackjack strategy? At the most basic level, knowing that you’re more likely to draw a card worth ten points makes a point total of 12 or more an anxious game decision.
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Another example of how blackjack odds play a big part in player strategy is what blackjack experts call bust probability. Bust probability is a number that indicates how often a certain point total will lead to a bust. Since the blackjack dealer doesn’t have free will, and must stand at 17 in most casinos, his bust likelihood is higher when his point total is 16, because dealers have to hit at 16. This rule also affects early dealer point totals—imagine a dealer with an upcard of 6. He has to hit, and we already know how much more likely you are to draw a ten point card than any other, putting him in great danger of drawing a 16 and being forced to hit into a bust.
Other Blackjack Odds & Probabilities
Blackjack math is straightforward, since each card in the deck has its own consistent point value and there’s a clear line drawn between winner and loser. Applying a little bit of math, blackjack experts have figured out the odds of being dealt different types of blackjack hands. Your chance of drawing a natural 21, and winning instantly, is 4.8%. Play 100 hands of blackjack and you’re likely to only be dealt a natural blackjack 5 times.
That makes blackjack sound like a hard game to beat, but the truth couldn’t be more different. Those same odds show that the most common hand dealt in blackjack is the decision hand, any point total between 1 and 16. These hands are dealt 38.7% of the time, meaning that out of every 100 hands you play, you’ll have to make a decision only about 40 times. In the other 60 hands, the decision will be made for you.
If you play with basic strategy, and make the right play according to that strategy for each of those decision hands, you can minimize the house edge.
A final trick to using blackjack odds to beat the House is considering two crucial statistics at once. We’ve already talked about dealer bust probability and player edge against the House. Just combine the two statistics for an idea of when you have the best chance to beat the blackjack dealer.
For each dealer upcard, mathematicians have figured out their likelihood of drawing to a bust. For example, if a dealer’s upcard is a 2, his bust probability is 38%. Factor in the player’s advantage gained by using basic strategy against each upcard, and you get a good look at when you have your best shot at beating the House.
The House is in the most danger of busting or losing to basic strategy when the dealer’s upcard is a 5 or 6. When the dealer shows a 5 upcard, his bust probability is 42.89%. Since players have a 23.2% advantage against that upcard if they play with perfect strategy, it’s clear that when a dealer shows a 5, players are more likely to beat the dealer.
Odds Of Winning Blackjack Against Dealers
Using blackjack math and odds to your advantage against the casino is called basic blackjack strategy. Make sure and pick up a blackjack strategy chart next time you hit the casino, and work on memorizing the proper play for different game situations. Following the lead of smarter blackjack players who have gone before you is important if you like making money on the gambling floor.
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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
Free texas hold'em odds calculator. 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 |
---|---|
21 | 100% |
20 | 92% |
19 | 85% |
18 | 77% |
17 | 69% |
16 | 62% |
15 | 58% |
14 | 56% |
13 | 39% |
12 | 31% |
11 or Less | 0% |
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 21 | 4.8% |
Hard Standing (17-20) | 30.0 % |
Decision Hands (1-16) | 38.7% |
No Bust | 26.5% |
TOTAL | 100.0% |
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 21 | 4.82% | 4.83% |
21 (3 or More Cards) | 7.36% | 12.19% |
20 | 17.58% | 29.77% |
19 | 13.48% | 43.25% |
18 | 13.81% | 57.06% |
17 | 14.58% | 71.64% |
16 | 28.36% | 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 Card | Dealer Bust % | Player Advantage % with Basic Strategy |
---|---|---|
2 | 35.30% | 9.8% |
3 | 37.56% | 13.4% |
4 | 40.28% | 18.0% |
5 | 42.89% | 23.2% |
6 | 42.08% | 23.9% |
7 | 25.99% | 14.3% |
8 | 23.86% | 5.4% |
9 | 23.34% | -4.3% |
J,Q,K | 21.43% | -16.9% |
A | 11.65% | -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 |
---|---|
2 | 0.40% |
3 | 0.43% |
4 | 0.52% |
5 | 0.67% |
6 | 0.45% |
7 | 0.30% |
8 | 0.01% |
9 | -0.15% |
10 | -0.51% |
A | -0.59% |
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