Dec 12, 2019 To win 1900 in 100 hands I need what 60 wins and 40 losses to win 2000. 59 wins gets 1800. This appears to be a 59.5 win%. Am I correct? When you stand on 18 vs dealer's 5 up, the dealer could end up with a total of 18, too. To calculate your probability of winning, you would need to know the probability of a push as well as your EV.
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?
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.
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.
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.
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
Odds are everywhere you look. Seriously. Odds are in a casino, your workplace, your day-to-day live and habits, your marriage and where in the world you live.
Don’t believe me? Take a look for yourself:
- Odds of having twins (21st century) – 3 in 100 or 3%
- Odds of getting a divorce – 40 to 50%
- 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.
Lets look at a couple real examples to show you what I mean.
Here are the odds of you busting your hand, depending on what you were dealt:
- 21 – 100%
- 20 – 92%
- 19 – 85%
- 18 – 77%
- 17 – 69%
- 16 – 62%
- 15 – 58%
- 14 – 56%
- 13 – 39%
- 12 – 31%
- <11 – 0%
Odds of Being Dealt Specific Hands
Here are the probabilities for being dealt a specific hand:
- Blackjack – 4.8%
- Standing Hand (17-20) – 30%
- Decision Hand – (1-16) – 38.7%
- No Bust – 26.5%
Here are the odds for the final hands that the dealer will make:
- Natural 21 – 4.82%
- 21 (3+ cards) – 7.36%
- 20 – 17.58%
- 19 – 13.48%
- 18 – 13.81%
- 17 – 14.58%
- 16 – 28.36%
Dealer vs. Player Odds
Finally, here are the odds of the dealer busting based on their up card:
- 2 – 35.30%
- 3 – 37.56%
- 4 – 40.28%
- 5 – 42.89%
- 6 – 42.08%
- 7 – 25.99%
- 8 – 23.86%
- 9 – 23.34%
- J,Q,K – 21.43%
- A – 11.65%
Of these examples, this is the most useful. Notice what hands the dealer is most likely to bust with. The dealer will most often bust with 4, 5 or 6, followed by 2 and 3.
The odds above are static. There’s nothing you can do to change them. However, you can find ways to improve your odds so that you lose fewer hands and less money. And the less money you lose, the more you can keep to play more blackjack.
Here’s what you can do to improve your odds in blackjack:
- Use basic blackjack strategy. Without basic strategy you’re playing at an 8% disadvantage. With strategy, however, the odds increase significantly. You’ll be playing at only .5 to 1.5% disadvantage.
- Find the best games. The rules make all the difference. For example, if you play a 6:5 blackjack game you’re adding a 1.39% disadvantage. If the dealer hits soft 17 that’s another .18%. However, it’s possible to find games where the player is paid 3:2 for blackjacks and the dealer stands on soft 17. So find those games. Also be careful about which blackjack variation you play. The best games to play are blackjack, Spanish 21, Vegas Strip BJ and Blackjack Switch.
- Avoid side bets. Side bets look exciting, because for a nominal amount you could possibly win a huge jackpot — worth hundreds or even thousands of dollars. The problem is that the odds against winning can be anywhere from 2-40%.
- Avoid wives tales. There are a lot of bad strategies like never busting (never hit a 12+), mimicking the dealer and assume that the dealer has a 10 in the whole (with ace up). The problem with using any of these strategies is that they increase the house edge from 3 to 10 percent.
You can do other things, too, like count cards or read books (usually a mix of basic strategy, card counting and general how-to’s for casino blackjack). However, you’ll improve your odds at winning at blackjack just by following my suggestions above.
Understanding the Long Run – Sample Size and Variance
I wanted to finish up this article with a brief explanation of odds, and how they work over the long run. You see, I think a lot of people will see the numbers above and get confused when they don’t match their own stats. In other words, someone might go to the casino play 500 hands of blackjack, and wonder why they didn’t get 24 natural blackjacks, or the other way around, why they got 42.
The thing is, odds and statistics are all about the long run. Long run usually meaning sample size, or the total number of hands (or games) played.
What that means is that over a significant sample size, hundreds of thousands or even millions of hands, the number of times you’ll receive a blackjack is about 4.82%. The more hands you play the truer this will become.
What Is The Probability Of Winning A Blackjack Hand Odds
The reason why odds don’t match up in smaller sessions, say over 500 hands, is because of variance. There’s a technical term and definition for variance, but I’ll just give you my version; variance is the ups and downs you experience on your way to the long term (expected) results.
Mike Caro, a poker player and author, puts it this way:
A measure of the spread of statistical distribution about its mean or centre.
Calculating Blackjack Probabilities
That means in a short time frame, it’s possible to experience more drastic odds. You might win or lose more than you’re supposed to. It also explains why people can go into a casino, not use basic strategy and win 3x as much as what they walked in with. The cards ran in their favor — they experienced a positive streak of variance.
So that’s the gist of it. So the next time you walk into the casino and have a wild swing one way or another, you know that that’s not normal, and that in the long run you’ll be closer to break-even so long as you stick to basic strategy — the plan with the best odds.