Baseball Team Hats

The Puzzler

RAY: This is a classic case of a little knowledge being a dangerous thing.

TOM: Yes!

RAY: I have no idea how to solve that problem, but I do know --

TOM: That the answer is zero.

RAY: The answer is... In fact, as difficult as it might be for 20 out of 20 to get their hats, it's even harder for 19 --

TOM: Yeah!

RAY: -- out of 20 to get the right hat.

TOM: Yeah.

RAY: In fact, it's impossible, because if 19 kids get the right hat, that leaves only one hat and one head.

TOM: Right.

RAY: And it must belong to --

TOM: The wrong kid.

RAY: -- the other kid.

TOM: Right.

RAY: Louie just got it! All right, Louie!

TOM: If one kid's got the wrong hat, there's gotta be another kid with the wrong hat. It's simple as that.

RAY: Exactly.

TOM: And that's why I got the answer so fast, because I didn't do any calculations, because I don't know how to do any calculations.

RAY: Anyway, who's our winner, Tommy?

TOM: Oh, a winner! The winner is David Krumpe from Penn Hills, Pennsylvania.

[ Car Talk Puzzler ]

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