Betting a Single Number in Roulette: 35:1 on a 37:1 Shot
Last reviewed: August 2026
Lucky number 17, straight up. The payout says 35 to 1: the wheel says there are 38 pockets. Those two missing pockets are the entire business model, and they’re easiest to see on this exact bet.
The exact math
- American wheel: 38 pockets, so a single number hits 1 in 38. Fair payout: 37 to 1. Actual payout: 35 to 1. The two-pocket shortfall works out to the familiar 5.26% edge.
- European wheel: 37 pockets, 1 in 37, still paid 35 to 1, a one-pocket shortfall: 2.70%.
Notice something useful: these are the same edges as red/black on each wheel. Straight-up bets aren’t “worse odds” than even-money bets, whatever the table chatter says; every standard bet on a given wheel costs the same percentage (with one five-number exception). What changes is the shape of the ride.
The variance you’re buying
At 1-in-38 per spin:
- Over 38 spins, you’ll hit your number about 63% of the time at least once; a 37% chance of total shutout across a “full cycle.”
- Droughts of 100+ spins on one number happen regularly (7% of the time, any given 100-spin stretch misses).
- One hit pays 35 units, so a single-number player’s bankroll graph is long staircases down with rare elevator rides up.
Same average cost as red/black; wildly different experience. Pick by temperament, not by imagined value.
If you love the big hit
Straight-up bets are the honest lottery ticket of the casino: transparent odds, instant resolution, real 35:1 payoffs. Prefer the European wheel (half the price), size bets for long droughts, and skip “covering” systems: betting more numbers doesn’t change the edge, it just smooths the same loss.
Watch a thousand spins of number 17: the simulator will show you exactly what 1-in-38 feels like.