Losing 2 Spins in a Row at 4.5x
The chance of 2 losing spins in a row at 4.5x on the Wheel is 64%, or 1 in 1.56. At 4.5x a single spin loses 80% of the time.
The odds of 2 losses in a row
| Measure | Value |
|---|---|
| Chance of one loss at 4.5x | 80% |
| Chance of 2 losses in a row, starting from a given spin | 64% |
| Odds | 1 in 1.56 |
| Spins to wait for it, on average | 2.8 |
| Chance it happens at least once in 100 spins | 99.9%+ |
| Chance it happens at least once in 500 spins | 99.9%+ |
| Chance it happens at least once in 1,000 spins | 99.9%+ |
| Chance it happens at least once in 10,000 spins | 99.9%+ |
| Stake lost across the streak (1 per spin) | 2 |
| Stake a double-after-every-loss plan would need to survive it | 3 |
The average wait counts spins until the first run of 2 losses is completed. It is an average over many players, and any individual can see it on their first 2 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 2 losses has a probability of 80% to the power of 2, which is 64%. It is rare for any one run of 2 spins, but it does not stay rare if you keep going: across 500 spins the chance that it appears at least once is 99.9%+.
The next spin is not owed a win. After 1 losses the chance of a win on the next spin is still exactly 20%. 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 22 − 1 times your first stake to survive 2 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
- 3 losses in a row at 4.5x
- Every losing streak at 4.5x
- The 4.5x multiplier in full
- 2 losses in a row at 3x
- 2 losses in a row at 3.5x
- 2 losses in a row at 4x
- 2 losses in a row at 5x
- 2 losses in a row at 5.5x