American roulette does not make Red more likely because two chips sit on it and one sits on Black. European roulette in the same uneven stake still holds 18 red and 18 black. The extra chip changes the size of the result, not the number of pockets. Below, 2 sits on Red and 1 on Black. The stake of the spin is 3.
Red returns a profit of 2 and takes the black chip: +1 net. Black returns a profit of 1 and takes the two red chips: −1 net. A green pocket takes all three: −3. There are 18 red pockets, 18 black, and 2 green.
18 times +1 and 18 times −1 cancel each other over a full pass. Two greens take 6. The result of the pass is −6 with 114 staked. Dividing −6 by 114 is again 5.26 per 100. The uneven stake did not create an edge. It only made the green spin more expensive.
Three results on American roulette
A plus happens only on Red, and it equals one unit, although two chips stand on Red.
| How many | Red chips | Black chip | Net | |
|---|---|---|---|---|
| Red | 18 | +2 | −1 | +1 |
| Black | 18 | −2 | +1 | −1 |
| 0 or 00 | 2 | −2 | −1 | −3 |
If Red and Black are alternated strictly once each, the bankroll of these 36 spins stays at zero. Two green spins take off 6. The average of one spin is −6/38, about −0.16 at a stake of 3. Per unit staked that is the same 5.26 as for one chip on a color.
Why two chips do not give plus 2
The profit of the red chips on a red pocket really is 2. The black chip in the same spin loses 1, and one unit is left from the two. On a black pocket the loss is already 2 against a profit of 1. Pockets equal in number are therefore not equal in the money of one spin, but over a full circle they still come out at zero plus the greens.
| How the chips lie | Red pocket | Black pocket | Green | Pass of 38 |
|---|---|---|---|---|
| 1 and 1 | 0 | 0 | −2 | −4 |
| 2 and 1 | +1 | −1 | −3 | −6 |
| 2 and 0, Red only | +2 | −2 | −2 | −4 |
The row “Red only” is two chips on one color, without the black one. The pass: 18×2 − 18×2 − 2×2 = −4 with 76 staked, again 5.26 per 100. Removing the black chip does not make Red more frequent. It is still 18 pockets out of 38.
European roulette cancels the same 18 and 18
On 37 pockets there are still 18 each of red and black, and one green. The pass of the uneven stake of 2 and 1: 18×1 + 18×(−1) + 1×(−3) = −3 with 111 staked. That is 2.70 per 100. Plus 1 on Red and minus 1 on Black have not gone anywhere. Only one green pocket has disappeared, and with it one trio of minus.
| Wheel | Greens | Result of the pass at chips of 2 and 1 | Per 100 staked |
|---|---|---|---|
| 38 pockets | 2 | −6 | 5.26 |
| 37 pockets | 1 | −3 | 2.70 |
French roulette with half the stake on zero would lower the single green spin from −3 to −1.5. On the RoulCoin wheel both zeros take all three chips. In England, 00 does not become red because of an extra chip on Red. A time zone does not recolor the pockets.
Two chips on Red give plus 1 on a red pocket, not plus 2. Over 38 different pockets the uneven stake with one black chip gives −6.
How not to increase the uneven stake after Black
After −1 on Black it is tempting to add one more red chip. Then the next black pocket becomes even more expensive, and red pockets are not added. You can play online for free and run this uneven stake on a virtual balance. Guest chips do not turn into a withdrawal, and the 18 red and 18 black are visible on them without the guess that a double chip “presses” the color.
- There are 18 red pockets out of 38 both with two chips and with one.
- On Red, +1 remains net if one chip lies on Black.
- 0 and 00 take the whole stake of 3.
- The next spin is not obliged to be red because of two previous blacks.
Why a run of reds does not confirm the uneven stake
Five reds in a row give five times +1, a result of +5. Five blacks give −5. The chance of five reds is (18/38)⁵, about 2.38%. The chance of five blacks is the same. The uneven stake makes these streaks different in sign and the same in frequency. The plus is what gets remembered.
Do two chips on Red give plus 2 if Red comes up?
No, if a chip on Black lies beside them. The profit of the two reds equals 2, the black chip loses 1, and the net is +1. Plus 2 happens only if there is no black chip.
Are there fewer black pockets, since one chip sits on them?
No. There are still 18 black, 18 red, and 2 green. Chips do not rearrange the pockets.
Over 38 different pockets, does the uneven stake give minus 4?
No, minus 6. Eighteen times +1 and eighteen times −1 cancel, and two greens take 3 each. Minus 4 would belong to equal chips on both colors.
On a single zero, does the uneven minus become minus 3 for the pass?
Yes, if there is one zero and it takes all three chips: −3 with 111 staked, which is 2.70 per 100. Plus 1 and minus 1 on the colors are the same. On the RoulCoin wheel there are two green pockets.
An extra chip on Red makes a successful spin noticeable, and makes black and green more expensive. Neighboring playing strategies either stake the colors equally, or do not stake them together. The uneven stake is worth counting on 18 and 18, before a second red chip looks like an advantage.