This is another classic battle between Bugs Bunny and Yosemite Sam (Riff Raff Sam). Bugs pops up out from underground, thinking he has reached Miami Beach, when in reality he is in the Sahara Desert, presumably from not making "that left toin at Albukoike". He comes prepared with a beach chair, sunscreen, sunglasses, and even a bucket of carrots...on ice! Bugs thinks he has found a nice park when he stumbles upon a water hole and a palm tree.

Meanwhile, Sam, riding on a camel, suddenly comes upon Bugs’ tracks and exclaims, "Great horny toads! A trespasser, gettin' footy-prints all over my desert!" The battle begins after Bugs asks Sam if he "is with the sideshow around here" and then proceeds to rip a piece of Sam’s turban off to dry himself. (When Bugs says his catch phrase "What's up, doc?", Sam vehemently states "I'm no 'doc', ya flea-bitten varmint! I'm Riff Raff Sam, the riffiest riff that ever riffed a raff!") He chases after Bugs, who goes into a French Foreign Legion post. Sam tries many tricks to get Bugs, including the use of stilts, human sling-shots and even an elephant. After driving Sam to near insanity, Bugs decides to pull one last trick.

He builds a series of doors leading into the post but keeps nailing on new doors so Sam opens door after door until he reaches the TNT and gasoline waiting for him at the end. Bugs goes back to relax in the Sahara sand. ("I wonder if he's stubborn enough to open ALL those doors", Bugs comments while waiting for Sam to finish. After the immense explosion that causes him to quit chasing Bugs, the rabbit says, "Yep, he's stubborn enough!")

At the very end, Daffy Duck makes a cameo appearance as he too thinks he is in Miami Beach after tunneling underground—complete with beach chair, sunscreen, and sunglasses. Bugs tries to tell Daffy it's not Miami Beach—but Daffy doesn't listen. "Eh, let him find out for himself," Bugs shrugs to the audience as the gag begins all over again.

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