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Easy Way To Calculate Blackjack Payout



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Blackjack, unlike other gambling games is not considered a game of chance, it is one that you can win if you start applying some knowledge. Unlike many other games where the result depends on player luck only, this game provides probabilities depending on the player decisions. Therefore, in order to win you have to know what your probabilities are now and how and when to increase them.

Before we take a look at player and dealer blackjack odds, we should consider all the parameters that affect the odds in the game.

Payout
House Edge Calculator
The easiest way for you to calculate the odds in blackjack is by using our free House Edge Calculator. This tool will help you to count player odds and the probabilities of dealer going bust on various dealer's up cards.

Blackjack Rules Variations

Blackjack variations were created to entertain players and provide them with a chance to win more money on side bets. Each rule variation affects the house edge, some rules making a big, others making a minor difference. Most common rule variations can be found at our House Edge Calculator in the テつォRulesテつサ window. Now, let's take a closer look at the rules and see how they affect the odds in the game.

NOTE: The rules chosen in the table below are most favorable for the player.

Number of decks

The first thing a player should consider when choosing a table is the number of decks used in the game. The more decks there are - the less odds the player has. (See the table - Probabilities – Number of decks)

Dealer hits or stands on soft 17

The main rules of the game are usually written on the table felt and it may say either dealer hits or stands on soft 17. If according to the rules dealer hits soft 17, the game gives the house a 0.2% extra edge.

Rules for doubling

This rule is sometimes called the 'Reno' rule, which restricts doubling only to certain hand totals. Double 9 - 11 affects the house edge increasing it by 0.09% (8 decks game) and 0.15% (1 deck game). Double 10-11 increases the house edge by 0.17% (8 decks game) and 0.26% (1 deck game).

Doubling after Split

If the casino allows a player to double after he splits a pair, the player will get a further edge of around 0.12%.

Resplitting

Most casinos allow players to split again after he/she splits a pair and is dealt another card of the same rank. However, if the casino does not, this means the odds favor the house. As the best hands for splitting are a pair of Aces and 8s, there may be a special rule for Splitting Aces. If the casino allows the player to re-split Aces, the player gets a 0.03% extra edge. Moreover, in most cases if the player splits Aces, the casino will deal only one card per hand and that's it. Allowing players to hit on a hand of Split Aces gives the player an edge of 0.13%. We do not consider this rule in our calculator due to the fact it is almost never used, especially online.

Good for player
  • 1 deck of cards (house edge 0.17%)
  • Doubling allowed on any cards
  • Doubling allowed after Split and after Hit (player edge 0.12%)
  • Early surrender is preferable
  • Dealer stands on soft 17 (player edge 0.2%)
  • Resplitting any cards allowed (player edge 0.03%)

Extra Rules Affecting Blackjack Odds

European No-Hole-Card Rule

Some blackjack variations are played with a hole card that is dealt to the dealer only after all the players have played their hands. This rule affects player strategy when playing against dealer up 10 or an Ace. In a typical hole-card game the player would know whether the dealer has a Blackjack or not before he makes any decisions. In this game, however, the player is risking a lot more if he decides to double or split. This rule adds 0.11% to the house advantage. However, there may be some casinos that allow the player to push on all the additional bets (doubling down and splitting pairs) if the dealer happens to have Blackjack.

Another Payouts on Blackjack

The classic payout on player Blackjack is 3 to 2. However, some casinos change the payout to increase the house edge. The payout on blackjack thus may vary from 1:1 to 6:5. As a Blackjack hand frequency is approximately 4.8% (see the table Two Card Hand Frequency), the payout of 1:1 will increase house edge by 2.3% and the payout of 6:5 - by 1.4%. The first rule (1:1) is only rarely found , while the second (6:5) can be found at some tables with a single deck blackjack game. The payout on Blackjack is generally written on a table felt.

Best tip
for odds seekers

The easiest way to choose the game with the highest odds is to play blackjack with no extra special rules. Do not forget where your basic odds are hidden - chance to Split, Double Down and get a 3 to 2 payout on Natural.

Dealer wins Ties

Another disadvantage for the player is when the rules of the game say that dealer wins all ties. This rule is almost never used in the classic games, though it can be found in some blackjack variations.

Insurance

The Insurance bet is a casino trick that gives the house a huge edge. The main factor why many players take this bet lies in the fact it costs only half of the original one. However, when the player takes Insurance every time he plays the game, the house edge may raise up to 7%. Added to all the other rules the casino sets on the game and you will see why probabilities are worth learning if you want to quit winners.

Side Bets

All blackjack games that offer side bets seem to be the biggest attraction for blackjack lovers. However, if you consider blackjack odds on these bets, you will notice that no matter how big the jackpot is (as in progressive blackjack rules) or how great the payout is for the pair (as in perfect pairs rules), the odds still favor the house and you are not likely to win.

Blackjack Probabilities charts

Number of decksHouse Advantage %
Single0.17
20.46
40.60
60.64
80.66

The quantity of decks increases the house advantage with each extra deck added to the game. Look for games with the smallest number of decks. However, some games offering a chance to play with 1 deck may only still provide low player odds due to low payouts on Blackjack and other rules. Be sure to check them before you play.

Hand value% frequency
214.8
17-2030
1-1638.7
No Bust26.5

The table on the left describes how often the following hands can appear. The hands are the first two-cards dealt to the player. The frequency stands for the average number of times dealt per deck of cards. As you can see, the most frequent hands dealt are the 'Decision hands' that demand knowledge of blackjack strategy.

Hand value% of busting
21100
2092
1985
1877
1769
1662
1558
1456
1339
1231
11 or less0

In this table you can see the probability of going bust on any hand if the player decides to Hit. This means that with 0% you can never go bust when hitting a hand of 11 or less. As you can see, the table is for hard hand totals as you will 100% bust if you Hit on a hand of hard 21.

CardHouse edge %
(when cards removed)
20.40
30.43
40.52
50.67
60.45
70.30
80.01
9-0.15
10,J,Q,K-0.51
Ace-0.59

You probably already know that in blackjack small cards in the deck favor the dealer while big ones favor the player. In this table you can see that removing 2s from the deck adds a 0.40% of advantage to the player, while if 10's are taken out - the odds are 0.51% for the house.

Dealer Face Up CardDealer Bust %Player Odds %
(Using Basic Strategy)
235.39.8
337.5613.4
440.2818
542.8923.2
642.0823.9
725.9914.3
823.865.4
923.34-4.3
10,J,Q,K21.43-16.9
Ace11.65-16

Blackjack probabilities are calculated due to different parameters, including the dealer up card. The table on the left depicts how likely it is that dealer will go bust with certain up cards and what the player odds are in this very situation. For example, the highest player odds are when the dealer shows a 6, as he is most likely to go bust with this hand. The lowest player odds are when the dealer's up card is a 10 or an Ace.

House Edge Calculator
You can count the players and casino odds any time you play with the help of our House Edge Calculator. The tool helps to find the probabilities for any game rules and the results can be calculated for all parameters.
Top 5 Casinos

Many people will be visiting a casino this summer, whether on a trip to Vegas, on a cruise ship, or just at a local casino during a 'staycation.'

But before you go, you may want to know which games give you the best chance of winning.

So we went behind the scene at two casinos, and spoke with the game managers, to find out which games give you an edge.

Table Games Your Best Bet

Jay Bean, a Caesar's floor manager, agreed to sit down with us and talk about the games with the best odds.

He said many people don't realize that table games have much better odds than slots. They are intimidated by thoughts of card sharks taking their money, with images of an intense Texas Hold 'Em tournament in their minds, and so they stick with the safe games: the slots.

But they are doing themselves a disservice, he said.

Bean's advice? After you've spent some time on the slot machines, move on to the Blackjack table, and start by just observing.

1. Blackjack

Blackjack has the best odds of winning, with a house edge of just 1 percent in most casinos, Bean said.

Plus, you are playing against only the dealer, not hooded poker champions.

'Blackjack is one of our easiest games to play,' Bean said. 'You're just looking for a number that beats the dealer's number without going over 21.'

If you're a novice, Bean said to sit down during a less busy time, such as the afternoon, and the dealer will walk you through the game.

But the same is not true with poker: You should practice the game with your friends first, at home, Bean said, until you are comfortable with it. Bean said novices are best off passing on the poker tables, where yes, the competition can be tough.

You can find out more information about the game of blackjack at the following link:
http://wizardofodds.com/games/blackjack/

2. Craps

So from the Blackjack table, he suggests moving on to the dice game Craps, the game with the second best odds, also nearly 50-50.

Blackjack Payout Table

The Craps table can be a bit intimidating for the beginner with all the boxes on the table, Bean admitted. But it's really not tough, and it has one of your best chances of winning. In the end, all you are really doing is betting on a dice roll.

For more information on craps, visit:
http://wizardofodds.com/games/craps/

3. Roulette

Bean said your next stop should be the Roulette wheel. It's simple, and pays fairly well.

'So you bet on your favorite numbers,' Bean said. 'The dealer spins, and if your number comes in you win.'

If you stick to betting on just Reds or Blacks, you have nearly a 50-50 chance of walking away a winner. If it lands on red when you choose red, you will double your bet, Bean explained.

While it may seem you have an even chance of winning by simply choosing a color, there is one catch that gives the house its edge: the extra green 0 and 00 position on the wheel. It's on all American roulette wheels.

Or, if you feel lucky, play just one number. It's hard to win, but if you do it pays out 36 to 1.

For more information on roulette, visit:
http://wizardofodds.com/games/roulette/

Worst Odds

Your worst odds? The casinos, understandably, did not want to talk about games with poor odds.

So we turned to Forbes Magazine, which in a report about Best Bets at the Casino , said two popular games -- the Wheel of Fortune and the ever-popular slot machines -- have the lowest odds of winning, with a house edge of 10 percent or more.

Blackjack Payout Test

The Experts Agree

Professor of Analytics Michael Magazine has crunched the numbers, and agreed that blackjack is the best way to go home with money in your pockets. He said if you take a little time to learn the game, you have the best odds of winning.

'You are somewhere between 44 percent to 48 percent in every single hand of winning,' he said, noting that no other casino game gives you odds that good.

But Magazine cautioned that he's not promoting gambling, because he said even games with the best odds still favor the house.

'Play it long enough and you will lose. In the long term the house doesn't lose,' Magazine said.

If You Love The Slots....

Payout

3 To 2 Blackjack Payouts

Finally, if you really enjoy playing the slots, here is some good information to know, from state casino reports we examined.

With slots, the more money you put in per bet, the higher your chance of winning. If you put the max in a penny machine, which is usually around 50 cents, you have much better odds than if you put in 2 cents.

In addition, penny slots have the lowest odds, with $1 and $5 slots paying much better.

Always gamble responsibly, and don't waste your money.
__________________________

You can learn more about specific odds of slots machines in each state that has casino gambling by visiting the American Casino Guide.

Don't Waste Your Money is a registered trademark of the EW Scripps Co.

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