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Losing 4 Spins in a Row at 1.5x

The chance of 4 losing spins in a row at 1.5x on the Wheel is 2.56%, or 1 in 39.1. At 1.5x a single spin loses 40% of the time.

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The odds of 4 losses in a row

MeasureValue
Chance of one loss at 1.5x40%
Chance of 4 losses in a row, starting from a given spin2.56%
Odds1 in 39.1
Spins to wait for it, on average63.4
Chance it happens at least once in 100 spins80.08%
Chance it happens at least once in 500 spins99.9%+
Chance it happens at least once in 1,000 spins99.9%+
Chance it happens at least once in 10,000 spins99.9%+
Stake lost across the streak (1 per spin)4
Stake a double-after-every-loss plan would need to survive it15

The average wait counts spins until the first run of 4 losses is completed. It is an average over many players, and any individual can see it on their first 4 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 4 losses has a probability of 40% to the power of 4, which is 2.56%. It is rare for any one run of 4 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 3 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 24 − 1 times your first stake to survive 4 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

Every spin can be checked. The roll for each Wheel spin comes from an HMAC of a server seed committed in advance, your client seed and a nonce, so the result cannot be chosen after you bet. How to check one is on the provably fair page.