Mario Kart DS item probability distributions
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The following tables are used in Mario Kart DS to determine the probability of receiving an item when an Item Box is opened. Even though the karts influence the probability of obtaining each item through their Items statistics, only the tables for one case are stored in the game's files; this case presumably refers to the use of the Standard karts, that have an Items statistics of 66. The probability is coded as percentage multiplied by two. The distributions are presented in the order used in the code.
In the races, the item probability distributions are chosen depending on the rank of the driver when the Item Box is opened.
Grand Prix races
In the case of online VS races, two tables of item probabilitiy distributions are found in the game's code, both of them having the same values. Only one of them will be presented here. It must be noted that those tables have the probabilities coded for 8 players, while in the final game only up to 4 players can participate in an online VS race.
These distributions are used in special cases (such as Missions mode; for example, the 8th distribution is used in the special Item Box of DK Pass, and the second during Mission 6-4. The last five distributions do not allow to obtain any item, it is possible that they are not used in the game.
In the battles, there are three distributions each.
For Balloon Battles, items are determined by the number of balloons above the kart.
It is not currently known how items get distributed in Shine Runners.