On SNES, Peach ALWAYS got first (or Princess Toadstool as she was back then). Donkey Kong was always second, and I believe Mario was always 3rd. They always had a set order, and yes, Toad was always in the back along with Bowser and Koopa unless he was user controlled.

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{Spur of the moment Toad Mario Kart poem below! lol it is bad!}