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Odds Of Winning One Blackjack Hand

  1. Jan 19, 2010  Betting $2,500 on one hand of Blackjack in Las Vegas during the Affiliate Summit West 2010.
  2. Odds of being stuck by lightning – 1 in 5,000 or 1 in 700,000 in any given year; Odds of being audited by the IRS –.4% if you make less than $200,000 / year; Odds of being dealt a blackjack – About 4.83%; Odds are just the likelihood that something will happen. As a blackjack player you deal with this all the time.

Blackjack offers some of the best odds in the casino. Everyone knows that already. But what does it mean to say that one casino games offers better odds than another casino game? This page goes into some detail about how to measure the odds of a casino game. Then it continues with an examination of the specifics related to the game of blackjack.

Odds

A good example of this practice is roulette, in which a wager on a single number pays 35 to 1 even though the odds of winning are 1 in 37. What are the odds of winning blackjack. Blackjack, however, foils the computation of odds based on random events because there are a number of influences that prevent it from being completely random—most.

Blackjack Odds Of Winning Per Hand

Odds and Probability Explained

Odds of winning in blackjack

Probability is the branch of math that covers how likely it is to achieve a certain result. Any possible result can be measured as a number between 0 and 1, with a 0 meaning that it will never happen and a 1 meaning that it will always happen. It’s probably easier to think of this number as a percentage, so something with a 0% chance of happening will never happen, while something that will always happen has a probability of 100%.

If you add the probability of something happening with the probability of something not happening, you will always get a total of 100%. So it’s always possible to calculate that number backwards. For example, if you know that there is an 80% chance of something not happening, you also know that there is a 20% chance of it happening, and vice versa.

Probabilities are sometimes explained as odds. This is just a way of expressing a probability as the number of possibilities of it failing versus the number of possibilities of it succeeding. For example, if you want to express the odds of getting an ace with the next card you draw out of a fresh deck of playing cards, then you know that the odds are 12 to 1. (For every ace in the deck, there are 12 cards that are NOT aces.)

Casino Blackjack Odds Of Winning

Casinos make their money by paying out wagers at odds that are less than their odds of happening. For example, on a single number bet in roulette, the odds of winning are 37 to 1. (There are 38 different numbers, and you only bet on 1 of them in this example.) But that bet only pays out at 35 to 1.

In a mathematically perfect set of spins, you’d win once and lose 37 times. If you’re betting $1 per spin, then you’ve lost $37, but you’ve won $35 the one time you got a winning spin. The casino gets the other $2, and that’s how they stay in business.

All casino games, including blackjack, work on this seemingly-simple principle. In fact, it’s relatively easy to determine a percentage of each bet that you make that the casino can expect to receive over time. This percentage is called the house edge.

In the roulette example above, the house edge is 5.26%. That’s the amount of each bet that will be lost over an infinite number of trials. Of course, in the short term, anything can (and often will) happen, but as you get closer to an infinite number of trials, the closer the results become to the mathematical expectation.

The house edge can be as high as 25% on slot machines in Nevada, or as low as 0.5% on blackjack in the same state. But achieving that 0.5% number requires a certain amount of skill and strategy. Players who just use “common sense” or who “play their hunches” face a house edge of closer to 2-4%.

Basic Strategy Is the Key to the Best Blackjack Odds

The key to maintaining the lowest possible house edge on blackjack is to use basic strategy every time you play. By doing so, you maximize your expectation and minimize the casino’s expectation. Basic strategy is the mathematically perfect play in every possible blackjack situation.

This might seem like an unearthly number of scenarios to memorize, but it’s actually easier than you think. The dealer’s upcard is limited to 10 possibilities. Your hand is limited to 20 different totals. Since many hands will be played with the same strategy as many others, memorizing basic strategy is far easier than you’d think.

Many websites and almost all blackjack books offer basic strategy charts which can help visual learners memorize the correct strategy. The conditions and house rules can affect a handful of strategy decisions, but even then, it’s a tiny percentage of the potential situations you might face. Learning one basic strategy is better than learning no basic strategy at all. In other words, don’t get hung up on making the occasional error because of local playing conditions.

Odds Of Winning One Blackjack Hand

Playing Conditions and Rules Variations

The other key to getting the best odds in blackjack is to make intelligent choices about which blackjack games you’ll play. The biggest variation that you need to watch out for is the payout on a natural 21. At most casinos, a natural 21 pays out at 3 to 2 odds, but you’ll often find games that pay out at 6 to 5 odds instead.

The difference in that single rules variation is tremendous. In fact, it gives the casino an additional edge of 1.39%. In most blackjack games, this doubles or even triples the house’s edge. The easiest way to avoid that additional “tax” on your game is to just say no to any blackjack game that doesn’t pay out at least 3 to 2 for a natural.

Other variations in the rules can actually improve the player’s odds. For example, a single deck blackjack game versus a game with two decks or more gives 0.48% back to the player. That’s not nearly as significant as the 1.39%, so don’t fall for the trap of playing a single deck game with a 6 to 5 payout on a natural blackjack.

Odds Of Winning One Hand Of Blackjack

Most other rules variations have smaller effects on the house edge, but they can add up quickly when combined. For example, if the dealer hits on soft 17 (instead of standing), the house gains 0.22%. But if the player is also limited to only being able to double down on 10 or 11, the house gains another 0.18%, for a total gain to the house of 0.4%.

The Effects of Card Counting on the Odds

Entire books have been written about counting cards and how it affects the player’s odds in the game of blackjack, but for the purposes of this page, I just want to explain how card counters get an edge over the casino. Suppose you found a way to get another 1-2% edge on the casino by raising your bets when you have better odds and lowering your bets when you have worse odds?

For example, if you had a deck with nothing but aces and tens in it, your chances of getting a natural (and the corresponding 3 to 2 payout) would be much greater, wouldn’t it? So it would make sense to bet more in that situation.

On the other hand, if all the aces in the deck have already been dealt, it’s impossible to get a natural, which means you should lower your bet.

It turns out that each card that’s dealt out of a blackjack show affects the odds by a certain amount. By tracking the ratio of high cards versus low cards that have already been dealt, a card counter can raise or lower her bets in order to take advantage of favorable situations.

By doing so, the counter can actually gain an edge over the casino. This is mostly the result of putting more money into action when the odds are good, but some card counters also make strategy adjustments based on their count, too.

Summary

This page provides an introduction to blackjack odds. Many other pages on this site go into more details about the rules variations that increase or decrease the odds in the players and the casinos’ favor. The most important things to remember are that you should always play using basic strategy, in order to minimize the house’s edge, and also to avoid playing 6:5 blackjack games.

By Henry Tamburin
No other hand makes blackjack players feel queasy than the dreaded 16. Players hate to hit the hand because they are afraid to bust. So many chicken out and stand no matter what the dealer shows. Others opt for the surrender option if it’s available figuring losing half a bet is better then losing it all. If your 16 comes as a pair of 8’s most players are reluctant to split if the dealer shows a 9, 10, or ace because they are afraid of losing two bets instead of one. Then there is the 16 made up with an Ace counted as 11 (i.e., soft 16). So what’s a player to do when he gets a 16?

Odds Of Winning A Blackjack Hand

First, let’s focus on a hard 16. That’s a hand that does not contain an Ace or if it does the Ace counts as one. Some examples of a hard 16 would be 10-6 or 5-7-4 or 7-8-Ace.

The correct basic playing strategy for hard 16 is to stand when the dealer shows a small card (2 through 6) and hit when the dealer shows a high card (7, 8, 9, 10, or Ace). Following this playing strategy will not guarantee that you will win every time but that you are more likely to lose less in the long run.. Let me explain.

Suppose you are dealt a 10-6 and the dealer shows a 7 upcard.

If you hit you win on average 30% of the time and lose 70%.

If you stand you will on average win 26% and lose 74%.

Note that you improve your chances of winning the hand by 4% if you hit rather than stand. But the dealer is still an overwhelming favorite to beat you because he will win 70% of the hands to your 30%. But is it better to win 26% of the time by standing or 30% of the time by hitting? You should hit because it will increase your chance of winning by 4%, not much, but every percentage will help you in the long run when you play blackjack.

So the bottom line with a hard 16 is this. Even by following the basic strategy you will lose more hands than you win but in the long run you will loss less than following a seat-of-the-pants strategy. Losing less on hands where you are the underdog is just as important as winning more when you are the favorite.

What if your 16 consists of three or more cards like 5-7-4? Normally the basic strategy ignores the composition of the hand. However, if you have a hard 16 hand consisting of three or more cards, then you should stand when the dealer has a 10 showing. The reason is that you have consumed a few of the small cards that you need if you were to draw. This tips the odds in favor of standing.

Some casinos allow players to surrender. This means you give up the opportunity to play out your hand and automatically lose half your bet. Even when surrender is offered, most players don’t like “giving up” without a fight. So they rarely surrender. That’s unfortunate because surrendering a hard 16 when the dealer shows a 9, 10, or Ace will save you more money in the long run than hitting. In fact surrender is always the best option when your chance of winning a hand is less than 25%. Take the hand of hard 16 against a 10. If we hit our chance of winning is 23.4%. This means the dealer’s chance of beating us is 76.6%. If we played a hundred hard 16’s against the dealer 10 with those probabilities, we would end up winning about $23 and losing $77 for a net loss of $54 on average. By surrendering on every hand our net loss would be $50. Get the point? You are better off losing $50 then $54 which is why surrendering a hard 16 against a 10 is the better play because you will save $4.

Odds Of A Blackjack

If you happen to be dealt a soft 16 (like Ace-5), you should never surrender and you should never stand. Your first option is to double but only if the dealer shows a weak 4, 5 or 6 upcard. If not, then hit.

Odds Of Winning In Blackjack

Finally, we have the pair of 8’s. The correct basic strategy play is to always split the 8’s no matter what the dealer shows. Even though you will lose money on both 8’s when you split, the combined loss in the long run will be less than the amount you will lose by playing the one hand as a 16. Splitting 8’s against a dealer 10 by the way is also a slightly better play then surrendering.

Blackjack Odds Of Runs

No question that 16 is a lousy blackjack hand. Unfortunately, it’s one of the most frequent hands you are going to be dealt in blackjack. But, by following the above playing strategy you will be optimizing your chances of winning more, and losing less, in the long run. It’s the smart way to play blackjack.

Henry Tamburin has been a respected casino gambling writer for the past 50 years. He is the author of the Ultimate Blackjack Strategy Guide and was editor of the Blackjack Insider newsletter. You can read his latest articles on blackjack, video poker, and his personal playing experiences at https://www.888casino.com/blog/writers/henry-tamburin