Losing 11 Spins in a Row at 3x
The chance of 11 losing spins in a row at 3x on the Wheel is 1.977%, or 1 in 50.6. At 3x a single spin loses 70% of the time.
The odds of 11 losses in a row
| Measure | Value |
|---|---|
| Chance of one loss at 3x | 70% |
| Chance of 11 losses in a row, starting from a given spin | 1.977% |
| Odds | 1 in 50.6 |
| Spins to wait for it, on average | 165 |
| Chance it happens at least once in 100 spins | 44.39% |
| Chance it happens at least once in 500 spins | 95.67% |
| Chance it happens at least once in 1,000 spins | 99.82% |
| Chance it happens at least once in 10,000 spins | 99.9%+ |
| Stake lost across the streak (1 per spin) | 11 |
| Stake a double-after-every-loss plan would need to survive it | 2,047 |
The average wait counts spins until the first run of 11 losses is completed. It is an average over many players, and any individual can see it on their first 11 spins or never. The "at least once" figures are exact: they account for a run starting on any spin, not just the first.
What it means
A streak of 11 losses has a probability of 70% to the power of 11, which is 1.977%. It is rare for any one run of 11 spins, but it does not stay rare if you keep going: across 500 spins the chance that it appears at least once is 95.67%.
The next spin is not owed a win. After 10 losses the chance of a win on the next spin is still exactly 30%. The wheel has no memory, and a fresh provably fair roll is generated for each spin. Believing a win is overdue is the gambler's fallacy, and it is the most common reason stakes grow during a bad run.
Doubling after a loss does not fix it. Doubling the stake until a win needs 211 − 1 times your first stake to survive 11 losses in a row, and a table limit or an empty balance ends the plan well before the maths evens out. The 10% house edge applies to every stake in the plan, so betting more does not change the expected loss per unit staked.
Related
- 10 losses in a row at 3x
- 12 losses in a row at 3x
- Every losing streak at 3x
- The 3x multiplier in full
- 11 losses in a row at 2x
- 11 losses in a row at 2.25x
- 11 losses in a row at 2.5x
- 11 losses in a row at 2.75x
- 11 losses in a row at 3.5x