The mini-game is mostly luck-based. Each player has to pick a name from a list of competitors for a race (randomized). Generally, the better a machine's name, the better the chance that player will win the race. Also, players pick their machine in a random order, leaving players choosing early with an advantage, and vice versa. It is very similar in concept to Day at the Races from Mario Party 2.
After everyone has chosen their machine, the players race. There is nothing players can do at this point; it is all up to chance. Players get eliminated throughout the race through various misfortunes, such as engine blowouts or collisions with Bullet Bills. Eventually, one player is left; that player is declared the winner.
Some examples of names for the machines include: