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There's a whole lotta words here, but not enough pictures. A table showing the values that choose which sounds play is shown below. While the load times for the games can be modified by the milliseconds by something like an action replay or using a different DS model (as there is slight differences in the game's load time between models), and this can cause a different sequence of sound effects to play, if those same actions are repeated it will lead to the same sounds playing each time. Because of this, the sequence of random numbers generated will always be the same leading to the same results every time, controlling for all other factors (model of DS, use of Action Replay, etc). Unfortunately, potentially as an oversight, instead of the results of this RNG being random, it is seeded with the exact same seed every time: 0x12345678. The game chooses between 2 short "vroom" sounds or one long one, followed by Mario saying either "Here we go!" or "Yahoo!" based on two values derived from a random number generator, specifically a Linear Congruential Generator.

When the game is starting up, on the Nintendo/ESRB Online notice splash screen, there can be various different outcomes of what sound effects play. Dump the sound effects and put them in the table.