In a standard game of roulette, there are 38 numbered pockets on the wheel: 1 through 36, plus a 0 and a 00. The odds of hitting any particular number, including 0 or 00, are 1 in 38, or approximately 2.63%. This means that, on average, a player can expect to hit 0 or 00 once every 38 spins of the wheel.