In American roulette, the probability of hitting either of the two zeros (0 and 00) is based on the wheel, which includes a total of 38 numbers (1-36, 0, and 00). To calculate the probability of landing on either zero, you consider the two favorable outcomes divided by the total outcomes. This results in a probability of approximately 5.26%. This means that while landing on one of the zeros is less likely than hitting any of the other numbers, it is still a significant possibility in the game.