Losing 17 Spins in a Row at 1.5x
The chance of 17 losing spins in a row at 1.5x on the Wheel is 1.72 × 10-5%, or 1 in 5.82 million. At 1.5x a single spin loses 40% of the time.
The odds of 17 losses in a row
| Measure | Value |
|---|---|
| Chance of one loss at 1.5x | 40% |
| Chance of 17 losses in a row, starting from a given spin | 1.72 × 10-5% |
| Odds | 1 in 5.82 million |
| Spins to wait for it, on average | 9.7 million |
| Chance it happens at least once in 100 spins | 8.73 × 10-4% |
| Chance it happens at least once in 500 spins | 5 × 10-3% |
| Chance it happens at least once in 1,000 spins | 0.0101% |
| Chance it happens at least once in 10,000 spins | 0.1029% |
| Stake lost across the streak (1 per spin) | 17 |
| Stake a double-after-every-loss plan would need to survive it | 131,071 |
The average wait counts spins until the first run of 17 losses is completed. It is an average over many players, and any individual can see it on their first 17 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 17 losses has a probability of 40% to the power of 17, which is 1.72 × 10-5%. It is rare for any one run of 17 spins, but it does not stay rare if you keep going: across 500 spins the chance that it appears at least once is 5 × 10-3%.
The next spin is not owed a win. After 16 losses the chance of a win on the next spin is still exactly 60%. 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 217 − 1 times your first stake to survive 17 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
- 15 losses in a row at 1.5x
- 20 losses in a row at 1.5x
- Every losing streak at 1.5x
- The 1.5x multiplier in full
- 17 losses in a row at 1.25x
- 17 losses in a row at 1.3x
- 17 losses in a row at 1.4x
- 17 losses in a row at 1.6x
- 17 losses in a row at 1.75x