American roulette pays 2 to 1 for a Dozen, not 1 to 1. European roulette pays the same, and doubling after a loss there also stakes more than is needed to close the series. Below is a series on one Dozen, and the aim is to get at least to plus 1 and stop. The next bet is the smallest whole number of chips whose profit at 2 to 1 covers the minus and leaves that plus.
The profit of a Dozen equals twice the bet. If the series is already at −7, 8 is missing to plus 1. A bet of 4 gives a profit of 8 and closes the series at exactly +1. A bet of 8, as in doubling, would give a profit of 16 and would close the series at +9, but for the aim “plus 1” those extra chips are not needed. They are exactly what is not staked.
On the RoulCoin wheel a Dozen has 12 winning pockets out of 38. There are 26 losing ones: two other Dozens, 0 and 00. The betting rule does not change this count. It changes only how many chips lie on one and the same Dozen.
Eight losses on American roulette
The column “already in the minus” is the state before the bet. If this step also loses, the minus grows by the size of the bet. If it wins, the series closes at +1 or at +2: doubling the bet for the profit sometimes gives one unit more than was missing, because the chips are whole.
| Step | Already in the minus | Bet | If the step won | If the step lost |
|---|---|---|---|---|
| 1 | 0 | 1 | +2 | −1 |
| 2 | 1 | 1 | +1 | −2 |
| 3 | 2 | 2 | +2 | −4 |
| 4 | 4 | 3 | +2 | −7 |
| 5 | 7 | 4 | +1 | −11 |
| 6 | 11 | 6 | +1 | −17 |
| 7 | 17 | 9 | +1 | −26 |
| 8 | 26 | 14 | +2 | −40 |
The second step, after one loss, equals 1 again, not 2. A profit of 2 already covers a minus of 1 and leaves +1. Doubling in this place would have staked 2, the profit would have been 4, the result of the series +3, and twice as much would have lain on the table as is needed for the same aim. Eight losses of this ladder take 40. Eight losses of doubling from one unit take 255.
Where a bankroll of 100 ends
Further along the row the bet grows faster, though it still does not double. The teaching bankroll of 100 below is not the account ceiling. The table ceiling is checked separately.
| Step | Already in the minus | Bet | Is a bankroll of 100 enough |
|---|---|---|---|
| 9 | 40 | 21 | yes, 60 remains |
| 10 | 61 | 31 | yes, 39 remains |
| 11 | 92 | 47 | no, 8 remains |
| 12 | 139 | 70 | no |
The tenth step stakes 31 at a minus of 61 and still goes through from a bankroll of 100: 39 remains. If it loses, the minus becomes 92, and the eleventh bet equals 47. Out of 100, 8 is in hand, and the step cannot be assembled. The series breaks at −92, not at plus 1. Doubling by this point would already have been asking for hundreds.
The share of a Dozen does not depend on how it is closed
Every step is an ordinary Dozen. Per 100 staked an American wheel takes 5.26, and a European wheel takes 2.70. On 37 pockets the winning pockets are the same 12, and the losing ones are 25, not 26. A ladder of the minimum bet does not change that. It only does not inflate the chip past the aim. French roulette with half the stake on zero does not apply to a Dozen: that is an even-chance rule, and on the RoulCoin wheel it is absent.
| How the Dozen bet grows | Eight losses | Plus, if the eighth step won |
|---|---|---|
| The minimum for an aim of plus 1 | 40 | +2 |
| Doubling from 1 | 255 | +129: a profit of 256 with 127 already lost |
Doubling on the eighth step stakes 128 with 127 already lost. The Dozen’s profit from this bet equals 256, and the result of the series is +129, not +1: a payout of 2 to 1 does not know that the row wanted a small aim. The minimum ladder on the same step stakes 14 at a minus of 26 and closes at +2. For a player in England, 00 remains a loss for the Dozen on any step. A time zone does not turn a payout of 2 to 1 into a reason to double.
After one loss the next bet is 1 again. Doubling here stakes something extra: the profit of a Dozen is already equal to two bets.
How not to replace the row with doubling if you play online
Before a step, the minus of the series is written down, and it is counted how much profit is missing to +1. The bet is that number, rounded up from half of this shortfall. You can keep the row on a virtual balance and play online without signup. Guest chips do not turn into a withdrawal, and the difference between a bet of 1 and a bet of 2 after the first loss is visible at once.
- The Dozen stays the same for the whole series. Changing the Dozen does not erase the minus.
- A win closes the series. The next one, if there is one, starts from 1 again.
- The closing plus is +1 or +2, not the size of the bet.
- The series is stopped when the next bet does not fit into the bankroll set aside in advance.
Why plus 2 on the first step is more than the aim
The aim is at least +1. A bet smaller than 1 does not go on the table, and the profit of one unit is already 2. So a successful first spin closes the series at +2. That is the ceiling of the row’s luck, not a sign that more will follow. After that either a new series starts from one unit, or, if the losses are played on, the bet grows from the table.
After a loss of one unit, is 2 staked?
No, 1 again. The profit of this unit equals 2 and covers a minus of 1 with a margin of plus 1. A two is staked when the minus is already 2: then a profit of 4 closes the series at +2.
Do eight losses take 255?
No, 40. The bets are 1, 1, 2, 3, 4, 6, 9 and 14. The sum of 255 is taken by doubling from one unit over the same eight losses.
Does a bankroll of 100 reach the eleventh step?
No. After a loss of the tenth step the minus is 92, and the eleventh bet is 47. Out of 100, 8 remains. The tenth step, a bet of 31 at a minus of 61, still fits.
Does a win of the eighth step give plus 14?
No, plus 2. By this step the minus is already 26, the profit of the bet of 14 equals 28, and 28 − 26 = 2. The large figure on the chip is the return of the row, not the profit of the series.
A payout of 2 to 1 makes doubling too thick for an aim of one unit. Neighboring playing strategies double a color, where the profit equals the bet, and there the second chip after a loss is exactly what is needed. On a Dozen it is not. The minus of the series is worth writing down as a number, otherwise the hand stakes a two by itself.