Three wheels, three different games
The European wheel has 37 pockets: 1-36 plus a single zero, giving a 2.7% house edge on every bet. The American wheel adds a double zero for 38 pockets and a 5.26% edge — nearly double the cost for an identical-looking game.
The French wheel is European with extra rules, and it is the best version available. Never sit at a double-zero table when a single-zero table is open; that one choice halves your long-run cost.