The Whittacker progression roulette system for the dozen and column bets.
In our December 2017 update, we have published a discussion about the Whittacker progression for even money bets.
Here is an adaptation of the Whittacker progression for the dozen and column bets:
( twelve number bets ).
If the Whittaker progression is applied to twelve number bets, the following starting sequence is used:
1. bet 1 unit
2. bet 1 unit
3. bet 2 units
If the first bet wins, profit: 2 units.
If the second bet wins, profit: 1 unit.
If the third bet wins, profit: 2 units.
In each of these cases, the progression begins new with the sequence: 1 – 1 – 2!
If the first 3 bets are lost, the next bet is determined as follows:
with a negative balance between 4 to 9 units, the balance is divided by 2,
with a negative balance between 10 to 21 units the balance is divided by 3,
with a negative balance between 22 to 100 units the balance is divided by 4,
With a negative balance of over 100 units, the balance is divided by 5.
If the result of the division is not a whole number, then this number is always rounded up.
The progression starts always with a bet size of 1 unit!
· Bet No. 1: 1 unit, in case of a win next bet 1 unit, in case of a loss:
· Bet No. 2: 1 unit, in case of a win next bet 1 unit, in case of a loss:
· Bet No. 3: 2 units, in case of a win next bet 1 unit, in case of a loss: 4 : 2 = 2
· Bet No. 4: 2 units, in case of a win next bet 1 unit, in case of a loss 6 : 2 = 3
· Bet No. 5: 3 units, in case of a win next bet 1 unit, in case of a loss 9 : 2 = 4.5 =5
· Bet No. 6: 5 units, in case of a win next bet 1 unit, in case of a loss 14 : 3 = 4.66 = 5
· Bet No. 7: 5 units, in case of a win next bet 4 : 2 = 2 units, in case of a loss 19 : 3 = 6.33 = 7
· Bet No. 8: and so forth…
Example 1, from Table No.1, Spielbank Hamburg, 2003-04-03, Dozens (spin 1 – spin 40), betting selection: before last (we do not recommend this betting selection, it is solely to demonstrate the progression).
The highest bet size in this demo is 2 units.
The net result for the progression after 40 spins: + 13 units.
The net result for flat betting after 40 spins: + 4 units.
Example 2, from Table No.1, Spielbank Hamburg, 2003-04-05, Columns (spin 1 – spin 60), betting selection: last (we do not recommend this betting selection, it is solely to demonstrate the progression).
The highest bet size in this session is 14 units.
The net result for the progression after 60 spins: + 7 units.
The net result for flat betting after 60 spins: – 8 units.
As you can see in example 2 we need only a couple of bets to recover after a bad spin run. However, this example is a good demonstration not to use the bet on last for twelve number bets.
If you lose a bet due to zero /double zero, repeat the bet. The amount lost due to the zero appearance has to be subtracted from the session balance.
The Whittaker progression should be used in no case without a good betting selection.
Both, the selection “bet on last” and “bet before last” are in no way good betting selections for 12 number bets. They, once again, were only used to make the progression clear!
This special system aims to reveal the series, forming on three even chances, and use them.
With this method there is no difference in what choices to choose.
The main thing is to play chosen chances motionlessly. For the best understanding a technology of betting there is an explanation on one chance. It requires a small progression on scheme: 1-2-4-8.
After the first bet of one unit, we play the double bet. The first winning brings 2, the first double bet – 4, the second double bet – 8 and the third double bet – 16 units.
If the first bet or one of the three double bets is lost, do the second bet of two units for the reason of putting only two double bets. The first winning brings 4, the first double bet – 8, the second double bet 16 units.
If this spin brings a loss, follow the third bet in 4 units for the reason of putting only one double bet. If this also loses, do the fourth bet in 8 units. Double bet herewith spin is excluded. The fourth bet can be lost too. In such a case, the game starts from the beginning of the respective chance.
In a very non-favorable case, even two dispositions can be lost in one row. The requirement to the bankroll in this method is a generally accepted attitude 1 to 4. Profit expectations of 200 dollars require a bankroll of 800 dollars. We do not advise you to begin the game having less than 200 units.
So, the 6 consecutive winnings happened only twice in 225 spins in sequences 52 and 218. Note that I’m showing 25 additional spins to the other tables to show the second occurrence of this 64 chip gathering feast. My simulations run up to 1000. And this happens about 6 times within 1000 spins, not always generating a big profit because of the number of chips that need to be placed bet after bet until a streak of six consecutive wins happens. This requires quite a lot of patience and endurance. My strategy would be to quit the moment you hit that 64 (or rather 63) chip profit that puts you ahead. This happens in sequence 52, where your profit jumps to $400. A very good time to quit.
I will not go into a 7 consecutive winning simulation, as you need to be lucky for it to happen once in 200 spins. When it happens you will be cashing 128 chips or $1270 profit and the sooner it happens the more you would profit. Whether it will ever happen or not is less predictable than 3 or 4 consecutive winnings.
Statistically, seven consecutive same-decisions will happen 4 – 5 times within 1000 spins, but the profits it would generate will strongly depend on how soon they happen. You can take a look at all the 4 tables above. You will notice that in Table 1, we had 7 consecutive winnings in sequence 17, and in Table 4, we had 7 consecutive winnings in sequence 53 and 10 consecutive winnings in sequence 222.
My conclusion is it might be best to choose to collect after 4 or 5 consecutive wins. This seems to produce more consistent results. If you are very patient and are willing to wait for 6 consecutive wins, you may do so. Patience may pay off, particularly if you are lucky and your first winning streak occurs soon enough. At the other extreme, if you don’t want to risk a big bankroll and would be happy collecting small wins more frequently, then the 3 consecutive winning level is your best choice. Or you may start with the 3 consecutive winning levels and as your profit grows, you would increase the level to 4, and then to 5.
Money management in this method is self-explanatory as you are risking not more than 1 chip per run. You just quit whenever you feel like or whenever you have won what you hoped for. Remember the strategy of quitting when your profits decrease by half or by $100 (or 10 units) from its peak. If you don’t get greedy and don’t chase losses you won’t get in trouble playing this system.
Every time we wait for 6 repeats of the same color or 5 consecutive wins, we gather 32 chips from the table profiting $310 ($320-$10). In Table 3 above, this occurs 5 times at sequences 23, 32, 61, 89, 156. We can deduce that this is happening at a frequency of every 40 spins, on average. If we were betting one $10 chip at every spin, we would be losing $400 before we hit a profit of $320. However, with this system, we are betting one $10 chip every run, which can be every 2, 3, or 4 spins depending on the repeat patterns. That’s why we come out profitable every time.
The observation of Table 3 shows that 6 repeats do happen frequently enough and cashing $310 when it happens is rewarding, despite the temptation of cashing it at 16 chips.
Our next simulation in Table 4 below will show events of 7 repeats or 6 consecutive winnings, that can enable us to cash 64-1=63 chips or $630 at $10 a chip (or unit). This requires much more patience and belief that it will eventually happen. It will happen much less frequently and there are no guarantees that it will happen at all within 2 to 3 hours of play. Observations of many scoreboards show that within one day many tables hit 7 repeats. The question is, are you patient and daring enough to wait for this to happen? If a run of seven repeats doesn’t materialize soon enough, how much are you willing to go down before recovering your money?
As you can see, this time we are cashing our winnings when the color has repeated 4 times, or when we have won 3 consecutive times. In Table 2, the first collecting of winnings occurs in sequence 7, giving us a boost to our profit to +$60. This was due to the color Black repeating 4 times. It actually goes on repeating up to 6 times. But we were to stop at 3 winnings according to our initial decision. During those additional times that Black shows up, we don’t place any bets, until Black is replaced by Red in sequence 11. So, in sequence 12, we place our chip on the Red. Red wins once as it repeats. But then Black shows up and we lose our chip. As Red returns in sequence 14, we place our chip on Red in sequence 15. This time it does repeat 4 times and we collect the 8 chips from the table in sequence 17. This brings our overall profit to +$110 from $30. Then we encounter a long losing streak all the way to sequence 59, lowering our net to minus $120 before the next 3 consecutive winnings at sequences 60-62.
Our bankroll becomes as low as -$160 in sequence 84. And it takes another 40 sequences before it goes to the positive side again. Then it goes down again to minus $100 at sequence 135. Then we encounter a few winning streaks, which brings our profits up to a peak of $230 in sequence 181.
Those up and down fluctuations are normal in this type of betting, as you are waiting for 3 consecutive winnings before you make a substantial profit of $70. Wait until you witness the simulation for 6 consecutive winnings, the wait time will be much longer and the bankroll required will be much higher, despite the fact that you are betting 1 chip at a time. It becomes similar to a slot machine strategy, where you keep betting one coin until you hit the jackpot. Except that in Roulette, this jackpot is likelier to occur than in slots, as 7, 8, or 9 repeats of the same color happens often enough. Imagine 7 repeats will give you 128 chips with a profit of $1270 ($1280-$10). 8 repeats will give you 256 chips, with a profit of $2560. Say if this occurs within 150 spins, it may be worthwhile to invest $1500 to gain $2560.
In any event, you can see the benefits of multiplying profits with an investment of only 1 chip at a time, the exact opposite of a Martingale system, where you only win 1 chip by investing 128, 256, or 512 chips if the progression doesn’t end. The other benefit of Winning Parlays is that you can quit anytime you like, without interrupting any progression. At Martingale you feel you need to go on to gain that unit and if you interrupt the progression you are facing unrecoverable losses.
Coming back to Table 2 above, winning 3 times consecutively occurs more frequently than winning 4 times consecutively. However, the profit is reduced to $80-$10=$70 instead of $150. In Table 1, winning 4 times in a row happened 7 times, where we profited 15 chips every time (winnings amounting to $150 X 7 =$1050). In Table 2, winning 3 times in a row happened 13 times, where we profited 7 chips every time (winnings amounting to $70 X 13 = $910). So you can start to draw some conclusions.
Our next simulation in Table 3 below will show what happens if we wait for 6 repeats or 5 consecutive winnings.
Let’s look at Table 1 and see how the system works.
We set the number to take your winnings from the table to 4. That means if either Black or Red repeats 5 times, your Winning Streak number will reach 4, where you remove your winnings. Otherwise, you leave them on the table. This term of “leaving on the table” refers of course to land casinos. On online casinos, you would just be betting your winnings again on the same color without adding any additional units on top of your initial chip. That means if your color wins, you take your chips and the profit and bet on the same color the amount that you won until you accumulate 16 chips. Then you reduce back to one chip again, based on the rules of the system.
We’re looking at the above Table 1, and let’s assume that we are playing in a real casino, for now.
You come to the Roulette table, and you see in sequence 1 that the last decision was number 28, Black. So you place one $10 chip on Black as indicated in sequence 2 with “B” under column Bet Black or Red. Number 23 shows up, which is a Red and you lose your chip. Your net profit is -$10 as indicated in column Net.
Since you lost your chip, it can’t multiply, so you need to place a new $10 chip on the last color that showed up, which is on Red, as indicated by “R” in sequence 3.
Number 36 appears, which is a Red, you win, but you don’t take your chips. That’s why the Cash column shows a -$10 despite the fact that you won that bet. You leave your 2 chips on the table on Red again.
The ball lands on zero in sequence 4, as indicated by “G” (for Green). That interrupts and terminates your winning sequence. Your two chips are gone and your net profit is at -$20.
Since a zero came, you don’t place any chips on your next bet in sequence 5. You wait until the color is established. Number 1, Red comes up. So you bet 1 chip on Red in sequence 6. Number 26, Black comes up. You lose your chip. Your net is down to -$30.
Since you lost your chip and Black came, you bet 1 chip on Black in sequence 7. Your net is presently -$40. Number 31, Black comes up, you win and you leave your two $10 chips on the table.
In sequence 8, Black comes again. You win and you leave your 4 chips on the table on Black.
In sequence 9, Black repeats again. You win and you leave your 8 chips on the table. Remember you don’t touch your chips until they become 16. In sequence 10, Red is rolled. You lose your 8 chips that accumulated so far. But you haven’t really lost more than the one $10 chip that started the escalation in sequence 7, you haven’t placed any additional chips since. So, those were 4 sequences in the run, but only 1 chip lost. It’s painful to see $80 disappearing in front of your eyes, but those are the rules. Patience will pay off.
Let us assume you haven’t broken the rules and that you are willing to go on playing as you determined at the start, you will wait for 4 consecutive wins. Since you lost in sequence 10 and Red showed up, now you place a $10 chip on Red in sequence 11. Your net profit shows -$50. Number 9, Red comes up. You win. You leave your 2 chips on the table.
In sequence 12, Red shows up again. You win. You leave your 4 chips on the table.
In sequence 13, it’s Red again. You win. You leave your 8 chips on the table. In sequence 14, what you’ve been hoping for happens. Red repeats for the 5th time. You have won four times in a row. You have 16 X $10 chips in front of you and you grab them. Your net profit goes from -$50 to +$110. Patience did pay off. It was going to happen sooner or later. It is not unusual for 5 consecutive same-decisions to happen.
In our simulation, Red comes up 8 times in a row between sequences 10 to 17. That is something interesting to note. Since you have set your winning grab time to 4 and you have already grabbed your 16 chips, you don’t place any until Red is replaced by Black. This is where you have mixed feelings again. Red has shown up 8 times. You say to yourself, you could have cashed $1280 on a run of 7 consecutive Reds, instead of $160, but you decided at the outset you were going to take your money after a run of 4 wins. Realize that setting this number to 7 will make you lose all the opportunities of grabbing your winnings at the 4th, 5th, 6th time, which will occur more often than 8 repeats or 7 consecutive wins.
There is a tradeoff we need to accept: wait longer to win more, but lose a few units in the meantime by the time the 7th winnings happens, or grab your winnings more frequently at smaller profits. Once you see all the upcoming simulations, you will be able to make the decision that’s right for you. If we go on observing Table 1, we grab our $160 at sequence 14 and since we were betting on Red, we don’t bet until Black comes up. And this happens in sequence 18.
So, in sequence 19, we place 1 $10 chip again on Black. This time Black comes up 5 times in a row and we keep betting on Black as long as it doesn’t change to Red. We cash another $160 or 16 X $10 chips in sequence 22.
Black shows up one more time, but we have placed no bets in sequence 23, as Black has not been replaced by Red yet.
In sequence 24, Red is rolled. Therefore we place one chip on Red in sequence 25.
You can follow the rest of the table and observe the way we bet. You always place one chip on the previous color, one spin after the color changes. If the color repeats, you leave your chips on the table, until you win 4 times in a row. If the color changes, you place a chip on the new color. If a zero comes up, you don’t make a bet, you wait for the next color to come up. Then you place one chip on that color. And so on.
As you can see, whichever color is the repeating one, you end up betting on that one, based on the rules of the system. That way you don’t miss any color, should it repeat more than once.
The peak profit reached in Table 1 was 61 units of $610 and it has occurred in sequence 154. Different runs of this simulation will produce different results with different peaks. You should always make sure to quit at a point when you are well ahead. One good strategy is to quit once the profit is reduced to half of your highest total. So in Table 1, since the peak profit was at $610, it’s recommended that you quit while you are still ahead by half of this amount, +$305. In Table 1 that doesn’t happen until sequence 200, but it has a tendency to go in that direction.
Or, another strategy is to quit if you are $100 below that peak, at about $510, which happens at sequence 170.
If you can manage it, you can play this method simultaneously in three different areas: on Black/Red and on Even/Odd and on High/Low, using the exact same system as above. If you are betting on Even/Odd for instance, then you place one chip on Even if the previous number was Even. If you are betting on High/Low at the same time, you place one chip on Low if the previous number was 18 or lower. Then follow exactly the same pattern as for Red/Black discussed above. When you play in 3 different areas simultaneously, you are of course betting three $10 chips at the start, then you either bet or don’t bet depending on whether Even/Odd or High/Low repeats or not. So you don’t always have 3 chips on the table. It will depend on the various repetition patterns of Red/Black, Even/Odd, and High/Low.
As stated before, this system can be used for Baccarat and Craps. In Baccarat you would place your bet on Player for instance, and if you win you would place your bet plus your winnings on Player until Player wins 4 times in a row. When Banker wins, you would switch to Banker.
Likewise in Craps; you place a bet on the Pass Line for instance. And if you win, you would place your bet plus your winnings on the Pass Line again until Pass repeats 4 times. If Pass doesn’t repeat, you will switch to Don’t Pass and follow the same pattern.
Now, let’s observe some simulations where we follow the same rules, but values for repeat times have been set differently. Table 2 below is set for 3, that is, you collect your winnings when a color repeated 4 times, meaning you have won 3 times in a row.
