The narrative unfolds within the subterranean abode of Bugs Bunny, who is joined by Daffy Duck. Their tranquility is interrupted by the televised spectacle of the game show Beat Your Buddy, where chance favors Bugs and Daffy as selected contestants for a tantalizing prize: "a million bucks".
The ensuing race to claim the coveted reward unfolds as a testament to Daffy's relentless pursuit, juxtaposed against Bugs' composed and methodical approach. Despite encountering numerous setbacks, Daffy's determination propels him forward, albeit accompanied by his own impetuous missteps.
Bugs' calculated journey culminates in his arrival at the studio ahead of Daffy, only to be whisked away in a tumultuous escapade involving a jet pack and an unexpected landing in an antique glass shop. Undeterred by their injuries, the indomitable duo presses on, with Daffy ultimately crossing the finish line first.
However, the anticipated windfall reveals itself to be a whimsical double twist — the prize is not a million bucks, but a "million box", meaning one million small boxes. Considering it worthless, Daffy gives it to Bugs. But then it is revealed that each of the boxes contains a dollar, so it is a million dollars after all and Daffy has squandered his win.
Daffy is asked for comment, and in response his head turns into a donkey's and he brays.