Mario Kart 8 item probability distributions

The following distributions are used by version 4.1 of Mario Kart 8 to determine the probability of obtaining a certain item when an Item Box is opened. . Such a probability is coded as a percentage multiplied by two.

Races
During races, each probability distribution is chosen depending on the distance from the frontrunner in the moment the Item Box was opened. The distance reported is the one at which the switch to the next distribution happens.