In American roulette, the probability of the ball landing on 00 on any given spin is 1 out of 38, or approximately 2.63%. This is because there are a total of 38 pockets on the wheel, including 36 numbered pockets, a single 0 pocket, and a double 00 pocket.
It's important to remember that each spin of the roulette wheel is an independent event, and the outcomes of previous spins do not affect the probability of future spins. So while the probability of the ball landing on 00 is always the same on each spin, it's impossible to predict when 00 will hit.