Character mistake: When Lucy and Harpo are doing the mirror routine, Harpo grabs the horn on his belt with his right hand. For Lucy to create a "reflection", she would need to use her left hand but she uses her right hand.

I Love Lucy (1951)
1 mistake in Lucy and Harpo Marx - chronological order
Starring: Lucille Ball, Desi Arnaz, Vivian Vance, William Frawley
Ethel Mertz: Rome wasn't built in a day.
Fred Mertz: Well, Rome wasn't built like you either.
Trivia: Fred and Ethel's bickering relationship didn't require much acting; in real life Vivian Vance and William Frawley didn't care for each other at all.
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Answer: There is no reason. It's a just a silly plot device, typical of the era. Women characters were often portrayed as making uninformed assumptions or decisions.
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