Roulette odds of hitting a single number

Roulette

A single-number bet wins on 2.70% of spins on a European wheel. It wins on 2.63% of spins on an American wheel. The payout is 35 to 1.

Winning chances and payouts

A straight-up bet targets one pocket. On a European wheel with 37 pockets, it hits 2.70% of the time. An American wheel has 38 pockets, lowering the hit rate to 2.63%. The payout remains 35 to 1 on both wheels. This fixed payout does not adjust for the extra pocket on the American wheel. The table below shows how many spins are needed before half of sessions see a win. That threshold is 26 spins. Most sessions will have no wins by then. The gap between the hit rate and the payout creates the house advantage. You receive 97.30% of your stake back on average on European wheels. American wheels return 94.74%. The difference comes solely from the extra zero pocket.

European wheel, 37 pockets. The bet covers 1 of them and pays 35 to 1.
spinschance a single-number (straight-up) bet wins at least once (European)
12.70%
1024.0%
3763.7%
5074.6%
10093.5%
20099.6%

The role of zeros

Zeros cause the house edge. A European wheel has one zero. An American wheel has two. These pockets do not match any number bet. When the ball lands in a zero pocket, all straight-up bets lose. This happens regardless of the chosen number. The single zero creates a 2.70% loss on every bet. The double zero increases this to 5.26%. Players often ignore zeros when choosing numbers. The zeros are always active. They reduce the effective probability of winning without increasing the payout. This structural feature ensures the house keeps a portion of every stake. No number selection avoids this mechanism. The zeros are part of the wheel, not an optional rule.

Losing streaks are common

Single-number bets lose frequently. A losing streak of five spins occurs 87.2% of the time on European wheels. Ten consecutive losses happen 76.0% of the time. These streaks are normal, not rare events. Players often expect a win after several losses. The probability does not change. Each spin is independent. A long losing run does not make a win more likely on the next spin. The chance of winning remains 2.70% every time. Streaks feel long because the win rate is low. Most sessions consist mostly of losses. The few wins do not offset the frequent losses in total value. Consider safer play options if variance feels too high.

Cost of 100 bets

Playing 100 bets of 1 unit costs money. The average loss is 2.7 units. This equals 2.70% of the total stake. Being ahead after 100 bets happens 50.9% of the time. Nearly half of sessions end with a profit. The other half lose more than they win. The average balances these outcomes into a net loss. Short sessions vary widely. Long sessions converge to the average loss. The variance decreases as the number of spins increases. The expected outcome becomes clearer. The house edge applies to every spin, regardless of the previous result. The total loss is predictable over many spins.

Patterns do not help

Betting systems do not change the odds. Doubling bets after losses does not increase the win rate. The probability of hitting a number stays 2.70%. The house edge remains 2.70%. Systems change the size of bets, not the chance of winning. Large bets after losses increase risk without improving odds. The average loss per unit remains constant. Timing bets does not help. The wheel has no memory. Past results do not influence future spins. Choosing hot or cold numbers does not alter the probability. The structure of the game ensures the house keeps its advantage. No sequence of bets eliminates this mathematical reality.

Questions

Why does the American wheel have a worse edge?

The American wheel has two zeros instead of one. This adds an extra losing pocket. The house edge rises to 5.26%. The return to player drops to 94.74%. The extra zero reduces winning chances without changing the payout.

Is it better to play European or American roulette?

European roulette has a lower house edge of 2.70%. American roulette has a higher edge of 5.26%. The European wheel returns 97.30% of stakes. The American wheel returns 94.74%. European wheels offer better long-term value.

How many spins until I win once?

Half of sessions see a win within 26 spins. The other half go longer. Losing streaks are common. Five losses happen 87.2% of the time. Ten losses happen 76.0% of the time.

Does doubling bets after losses help?

No. Doubling bets changes stake size, not win probability. The chance of winning remains 2.70%. The house edge stays 2.70%. Larger bets increase risk without improving expected outcomes. The average loss per unit remains constant.

Every figure on this page is computed by code from the standard roulette wheel (37 pockets in European roulette, 38 in American) and checked by an independent simulation. See the methodology.

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