Thanks for the answer about risk of ruin on power poker vs. single play. Now for a follow up... which has more volatility, $1 jacks or better, or $.50 4-play jacks or better (betting $10 per play instead of $5 per play)?

If you’re a strong “basic strategy” player (i.e. You don’t do stupid things like hit 15 against a dealer’s 6, or split 10s, etc.) you will win about 43% of your hands, push 9% and lose 48%. Out of those 100 times, the dealer had a blackjack 8 times. I did have a blackjack twice. The two times that I got a blackjack, the dealer also got a blackjack. Out of the 100 plays, the dealer got a 10 in his visible card 53 times. Out of those 53 times, 35 the dealer had another 10 in his hand. In 11 situations the dealer had a 19 on his hand. The slots Odds Of Losing 14 Blackjack Hands In A Row machine, often known as the “one armed bandit”, became an icon of modern online gaming. At Slotomania, you can start playing your favorite Odds Of Losing 14 Blackjack Hands In A Row slot games with crazy graphics, top of the line sound effects, and hundreds of variations to choose from.

From my video poker appendix 3 we can see the standard deviation for 1-play jacks or better is 4.417542. The standard deviation for 4-play jacks or better is 5.041215. Keep in mind these figures are per hand and relative to the betting unit. Adjusting for bet size and number of hands the standard deviation of $5 bet in 1-play jacks or better is 11/2*5*4.417542 = 22.08771. The standard deviation of 4 bets of $2.50 in 4-play jacks or better is 41/2*$2.50*5.041215 = 25.20608. So you are better off betting the smaller total amount in 1-play. Interestingly you can double the total amount bet in 4-play and the standard deviation only goes up by 14.12%.

Hi, have you ever heard any complaints about 'SLOTLAND casino' because I am a bit suspicious about their space jack game. Playing the perfect strategy the expected return is 101.7%. But after playing many and many hands I have not made any profit. So, I would like to have your opinion!

Actually I get a player return of 101.62%. Buried within their rules is this statement, 'Please note that all games share the same mechanism which determines the jackpot win. Thus, with card games, the probability of hitting the jackpot combination is not natural but controlled by this shared random mechanism in the same way as slot machines' wins.' It is my understanding that they offered this game for quite a while before posting this warning. I just don't trust any casino that would rig a card game, even if they admit it in the fine print.

If you have 15 and the dealer shows an eight...basic strategy say to hit. In this case, whether you hit or stay your chance of losing is over 70%........why is not the better play to surrender if you are going to lose over 70% of the time no matter if you hit or stay?

For the sake of simplicity let’s stay with your example and say the probability of winning is 70% and losing is 30% if you hit. The expected value of hitting would be 0.3*1 + 0.7*-1 = -0.4. This is greater than the expected value of -0.5 by surrendering.

Appendix 3b: Composition dependent exceptions to double deck basic strategy where the dealer stands on soft 17. Do these apply to multiple (4, 6 and 8) deck games or is there NO variation from Basic Strategy on these?

No, these exceptions should not be used for 4-8 decks. There are a few exceptions in 4-8 deck games but they are so border line that it isn’t worth the bother to learn them. An interesting rule of thumb for all numbers of decks is that with 16 vs. 10, where the 16 is composed of 3 or more cards, in general the odds favor standing.

I play the negative system in black jack meaning I double every time I lose until I Win. I wanted to what the odds are of losing 4,5,6,7,8,9 hands in a row? How many hands should I expect to play till I lost 8 hands which is my stopping point?

The name for this system is the Martingale. Ignoring ties the probability of a new loss for a hand of blackjack is 52.51%. So the probability of losing 8 in a row is .52518 = 1 in 173.

I play 50 cent slots and higher. I am happy with making a profit of $20 to $150 each session. I quit playing when I reach these levels. Are the high volatility, low frequency and low jackpot machines the best to play using this strategy? Please give me names of particular lines of machines to play.

No. If your goal is a small win then you should be playing low volatility, high hit frequency games. I can’t suggest any particular games but look for ones with comparatively small jackpots. These will also help you to play longer.

I read your topic in Roulette on the Martingale method. I have tried this method a few times on the computer and I have been up $500. Then I went to the casino and lost over $1000. Because black came up 8 times in a row. But I’m just starting to learn baccarat. I was trying it on the computer and again I have been up $500, by betting on the banker. Starting at $20 then going to $40 then $80 and so on. I was up $500 even with paying the 5%on each hand. Do you think this method would work in a casino? I thought I would ask before I go and lose another $1000. Like I said black came up 8 times in a row. But do you think that the player hand would win 8 times in a row? Plus this game is good because a tie is a push, where in roulette 0, or 00, is a loss.

The Martingale is dangerous on every game and in the long run will never win. However it is better to use in baccarat than roulette, just because of the lower house edge. The probability of the player winning 8 times in a row is 0.493163^8 = 1 in 286. Also keep in mind you could win a hand late in the series and still come out behind because of the commission. For example if you started with a bet of $1 and you won on the 7th hand you would win $60.80 ($64*95%), which would not cover the $63 in previous loses.

Have you calculated any of the odds for the slot machines at Harrah’s Cherokee Casino? NC law requires games of skill. As a result of this law all of the common slots such as Double Diamond, Red-White-Blue, etc were installed with a two spin option. After the first spin you may hold or respin any of the three rows to obtain final results. Charts are available on every machine to show the total number of each symbol and blanks in each row. Since these machines are IGT machines I assume that the symbols are weighted and randomly selected as posted. If this is true then the payback % can be calculated just as it is in video poker. Just curious if you had any info.

I’ve been asked about these North Carolina slot machines so many times I’m tempted to fly there just to see them for myself. Yes, if they did give the probability of each symbol for each reel then an optimal strategy and a return could be fairly easily calculated. However I have never actually seen such a table and have never worked out the odds.

In your Table of probabilities in Three Card Poker you state the number of combinations as 9720 for Queen to Ace high and Jack high or less as 6720. I’m trying to calculate these probabilities myself and have failed to do so. I would be obliged if I you could let me see your calculations. Much obliged.
Odds Of Losing 13 Blackjack Hands In A Row

The probability of any hand less than a pair is the product of the number of ways to pick 3 different ranks out of 13, less 12 for the consecutive ranks that result in a straight, and the number of ways to pick a suit 3 different times, less 4 for picking the same suit each time. So the total combinations for ace-high or less is (combin(13,3)-12)*(43-4) = 16,440.

Now let’s look at the combinations for a jack high or less. We have omitted 3 ranks so there are 3 ranks to choose from among 10. However 8 of these combinations result in a straight (2/3/4 to 9/10/J). Again there are 43-4 ways to pick the suits. So the total combinations is (combin(10,3)-8)*( 43-4) = 6,720. The total combinations for Q-A high is simply 16,440-6,720=9,720. For an explanation of the combin function please see my probabilities in poker section.


Blackjack is one of the least volatile casino games because you have a 46.36% chance of winning any hand (not counting ties). Add in that you can double down and split hands in favorable situations, and you’re dealing with a near 50/50 proposition.

Nevertheless, blackjack can still be a streaky game. It’s not uncommon to win or lose 3-4 hands in a row.

Some players try to capitalize on winning streaks by increasing their bets, but they often use a randomized approach that involves betting whatever they feel like in the moment.

I’m going to discuss some different ways that you can take advantage of winning streaks through systematic approaches. I’ll also cover how you can turn losing streaks into profits.

But let’s first dive into what your chances are of experiencing both winning and losing streaks in blackjack.

Probabilities of Blackjack Winning and Losing Streaks

Most blackjack streaks last for 2 to 3 hands. This makes winning and losing runs that last for 4 or more hands an unlikely occurrence.

But, as the statistics show, you can never rule out anything in blackjack. The chances of a 9 hand winning streak are 0.1%, meaning this can happen 1 out of every 1,000 times in a nine hand stretch.

Here’s a look at the odds of both winning and losing streaks:

Length of StreakChances of Winning StreakChances of Losing Streak
222.5%27.7%
310.6%14.6%
45.0%7.6%
52.4%4.0%
61.1%2.1%
70.5%1.1%
80.2%0.6%
90.1%0.3%

The stats support why blackjack streaks often occur within 2 or 3 hands. Any winning or losing run after this has less than a 10% chance of happening.

Can You Really Win More Money Based on Blackjack Streaks?

Before we get started on the methods that you can use to take advantage of blackjack streaks, I want to discuss if it’s feasible to increase profits during winning runs.

Before blackjack strategy became more prevalent thanks to the internet, many players simply thought that blind luck governed winning and losing streaks.

But streaks aren’t the result of some mysterious force working for or against you. Instead, this is merely statistics at work.

Mathematicians will tell you that a systematic approach during streaks won’t help you win any more money than if you keep flat betting. But there are certain factors that can cause a winning or losing streak.

One example includes an imperfect shuffle, which leaves clumps of high and low cards. And more high cards (a.k.a. aces through jacks) improves your chances of getting a natural blackjack.

The only problem is that it’s nearly impossible to predict when the deck hasn’t been shuffled thoroughly enough.

Whether or not you can take advantage of blackjack streaks with precision is debatable. But what you can count on is building on your winnings during a hot streak.

Likewise, with the right strategy, you can actually earn profits after a losing streak. And this is exactly what I’m going to cover in the upcoming sections.

Taking Advantage of Blackjack Winning Streaks

A great way to capitalize on blackjack winning streaks is by using a positive progression system. Positive progression strategies involve increasing your bets during hot streaks so that you can win even more money.

The best thing about these systems is that they don’t put your bankroll in danger. Instead, a positive progression system only calls on you to increase bets when you’re already winning.

Of course, the downside is that you can also blow your earnings because you’re betting more, but many blackjack players are willing to take this risk if it means turning marginal winnings into a huge profit.

You and I will cover some of these positive progression systems below. I’ll also discuss how you can use winning streaks to camouflage your card counting efforts.

Paroli System

The Paroli system is one of the easiest positive progression strategies to use. You begin by determining a fixed betting unit.

Ideally, this amount will be worth 2% to 5% of your bankroll. For example, if your bankroll is worth $500, you can use a $10 betting unit.

Odds Of Losing 13 Blackjack Hands In A Row

The Paroli works by doubling your betting unit after every win. You then stop after three wins and return to the original stake.

Some players like going to 4-5 wins before returning to the original bet, but this is risky because we already covered that your chances of winning four straight hands are less than 10%.

Here’s an example on using the Paroli for a three win sequence:

  • You bet $10 and win.
  • You bet $20 and win.
  • You bet $40 and win.
  • You return to the original $10 bet.

The nice thing about the Paroli system is that you win more during hot streaks without being too risky. The trouble, though, is that you only have a 10.6% chance of winning a three hand sequence.

1 3 2 6 System

The 1 3 2 6 strategy isn’t as popular as the Paroli, but it’s still a simple positive progression strategy that can bring you big winnings.

This system begins with choosing a fixed betting unit. And just like with the Paroli, 2% to 5% of your bankroll is a good unit size.

Each number in the 1 3 2 6 system represents how many betting units you risk in the sequence. In other words, you bet one unit, followed by three units, two units, and six units.

You start a fresh sequence every time you lose a bet or win four straight wagers. Here’s an example of using this strategy:

  • Your betting unit is $10.
  • You bet $10 and win.
  • You bet $30 and win.
  • You bet $20 and win.
  • You bet $60 and win.
  • Return to a $10 bet.

The primary advantage of the 1 3 2 6 strategy is that you can book profits even if you don’t complete the sequence. The downside is that you’ll rarely win four blackjack hands in a row and reach the end of the betting string.

Reverse Labouchere

The reverse Labouchere system is one of the most complicated gambling strategies. But you should still be able to pick up this system within a few minutes.

The reverse Labouchere starts with creating a sequence of numbers. The numbers should add up to your desired profit for the betting string.

You then add the first and last number in the sequence to determine your next bet.

If you win the wager, you add the combined amount to the end of your sequence. After a loss, you cross off both numbers and continue to the next wager.

You start over with a new sequence whenever completing the number string. Here’s an example of using the reverse Labouchere:

  • Your sequence is: 1 2 4 5 4 = $16 profit.
  • Your first bet is $5 (1 + 4).
  • You win, and your new string becomes: 1 2 4 5 4 5.
  • Your next bet is $6 (1+ 5).
  • You lose, and your new sequence becomes: 2 4 5 4.

The drawback to this strategy is that it normally takes a while to complete your betting sequence. But the upside is that you can win solid profits after completing the number string.

One Half Increase

The one half increase system is aptly named, because you increase your betting unit by one half after a two-hand winning streak. You continue this half unit increase for every subsequent win.

You can see an example below:
  • Your unit size is $20.
  • You win a $20 bet.
  • You win a $20 bet.
  • Your next wager becomes $30.
  • You win the $30 bet.
  • Your next wager becomes $40.
  • You lose the $40 bet.
  • Return to the original $20 wager.

The one half increase is my favorite positive progression system, because it allows you to capitalize on win streaks without risking the majority of your profits.

Card Counting Cover

One of the biggest challenges in card counting is making sure that the casino doesn’t know you’re a counter. Trying to take advantage of winning streaks is a good way to accomplish this goal.

This is especially the case when it’s early in a shoe hands and there isn’t much deck penetration. If the dealer or pit boss notices you increasing bets at this point, they’ll think that you’re just a regular player who’s looking for more wins during a hot streak.

Let’s contrast this to a card counter who flat bets while winning 3-4 hands in a row. This becomes suspicious when you suddenly increase your bet by wide margins later in the shoe.

A good time to boost your bets during a winning streak is when the true count is at 0 or +1.

These are points when a normal card counter flat bets. But again, increasing your wagers at this point makes it look like you’re simply a progressive better.

Of course, you should avoid spreading your bets too high in these cases, because you don’t have a mathematical advantage. But wagering an extra unit can help you with camouflaging when you’re taking heat from the pit boss.

Taking Advantage of Blackjack Losing Streaks

Taking advantage of a losing streak sounds like an oxymoron. After all, how is it possible to gain any advantage from losing in blackjack?

But you actually can swing things in your favor with the right negative progression systems. A negative progression strategy calls on you to bet more when you’re losing.

This is extremely risky because you can pile up more losses during a cold streak. However, you can also win back all of your losses and book a profit when things go your way.

Below I’ll cover a few different negative progression systems along with how these strategies can camouflage card counting.

Odds of losing 13 blackjack hands in a row 4

Martingale

The Martingale is easy to use because the only requirement involves doubling bets after every loss.

You start off by wagering the table minimum. You double this amount every time you lose, and return to the table minimum after any win.

Here’s an example of the Martingale:
  • You bet $5 and lose (bankroll at -5).
  • You bet $10 and lose (bankroll at -15).
  • You bet $20 and lose (bankroll at -35).
  • You bet $40 and lose (bankroll at -75).
  • You bet $80 and lose (bankroll at -155).
  • You bet $160 and lose (bankroll at -315).
  • You bet $320 and win (bankroll at +5).

The upside is that this system actually gives you an advantage in theory. As long as you always win to end a losing streak, you’ll earn back your losses plus a small profit.

The major downside is that you can lose your entire bankroll during long losing runs. Another problem is that you’ll eventually hit the table betting limit if you lose enough hands.

This is why I suggest finding tables with a low minimum bet and generous max wager if you’re going to use the Martingale.

Oscar’s Grind

Oscar’s Grind is a fairly complicated strategy that involves increasing your bets following a losing streak.

You start out by choosing a unit size, such as $10 or $20. You then wager one unit until you run into a losing streak.

Odds Of Losing 13 Blackjack Hands In A Row

Odds Of Losing 13 Blackjack Hands In A Row Chart

As soon as your losing streak ends, you increase your bet size by one unit. This continues until you’ve earned a one-unit profit.

At this point, you return to betting a single unit until the next losing streak occurs. Here’s an example of how Oscar’s Grind works:

  • You bet 1 unit ($10) and lose – Bet stays the same (bankroll at -1)
  • You bet 1 unit and lose – Bet stays the same (bankroll at -2)
  • You bet 1 unit and lose – Bet stays the same (bankroll at -3)
  • You bet 1 unit and lose – Bet stays the same (bankroll at -4)
  • You bet 1 unit and win – Next bet is 2 units (bankroll at -3)
  • You bet 2 units and lose – Bet stays the same (bankroll at -5)
  • You bet 2 units and lose – Bet stays the same (bankroll at -7)
  • You bet 2 units and win – Next bet is 3 units (bankroll at -5)
  • You bet 3 units and win – Bet stays the same (bankroll at -2).
  • You bet 3 units and win – Next bet is 1 unit (bankroll at +1).

My favorite thing about Oscar’s Grind is that you don’t have to risk much money after a losing streak. This allows you to win back your money in a more conservative manner.

The drawback is that some blackjack players won’t be happy with how slowly this system works.

Labouchere

Earlier I covered how the reverse Labouchere works, and the regular Labouchere has the same structure, only in a negative progression format.

This strategy begins by creating a number string that represents your bet amounts. The sequence can be however long you’d like, but I suggest keeping it to 5 to 8 numbers.

The next step is to make your first bet by combining the first and last numbers.

You cross both numbers off after a win and continue to the next wager. Following a loss, you add the combined bet to the end of the sequence.

Here’s an example of how the Labouchere works:
  • Your number sequence is: 1 4 6 3 4 7.
  • Your first bet is $8.
  • You lose, and your new string becomes: 1 4 6 3 4 7 8.
  • Your next bet is $9.
  • You win, and your new string becomes: 4 6 3 4 7.
Odds Of Losing 13 Blackjack Hands In A Row

The good thing about this system is that it’s less risky than the Martingale, but you still carry a fair amount of risk because it takes a while to complete each number string.

Card Counting Cover

Negative progression betting systems are another way that you can hide your card counting efforts.

When the true count is at 0 or +1, you increase your units to make it seem like you’re temporarily using a negative progression strategy.

And when the count is in your favor later in the shoe, it will merely appear that you’re using a positive progression system.

Negative progression strategies don’t work as well in camouflaging efforts. The reason why is because pit bosses may think it’s strange that you’re alternating between negative and positive systems.

But this is still better than increasing your bets later in the shoe during a very positive count, then flat betting at every other point.

Return to Minimum Bet

Another way to handle blackjack losing streaks involves returning to the table minimum.

This doesn’t help you to take advantage of losing runs like the systems covered above. But if you’ve been wagering above the table minimum, decreasing your bet will limit losses during a downswing.

Odds Of Losing 14 Blackjack Hands In A Row

The important thing to realize here is that no gambling system can overcome the blackjack house edge. This is why it’s so risky to increase wagers when you’re losing.

By making the minimum bet, you can ride out losing streaks and eventually start betting big again when you’re winning.

Conclusion

Betting more or less during streaks isn’t necessarily a foolproof way to beat blackjack, but betting strategies can at least help you take full advantage of winning and losing streaks.

This is especially the case during winning runs, where a positive progressive system really increases your profits. My favorite positive progression strategy is the one-half increase, but the Paroli, 1 3 2 6, and reverse Labouchere are also widely used.

Negative progression systems help you chase losses and eventually end up with a small profit, but you should be careful with these strategies because they add more risk to a losing situation.

Keep in mind that no betting system overcomes the blackjack house advantage. However, you can at least manipulate your short-term winnings and take advantage of winning/losing streaks with these strategies.