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Simulating the Ladybug Clock Puzzle

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Austin Z. Henley Associate Teaching Professor

Carnegie Mellon University [email protected]

@austinzhenley

github/AZHenley

Simulating the ladybug clock puzzle

1/17/2026

A few days ago, 3Blue1Brown posted a 60-second video describing a puzzle...

Imagine that a ladybug lands on the 12 o'clock marker of a clock. It then proceeds to move either clockwise or counterclockwise to the adjacent hour marker, one at a time, and repeats until all hour markers have been visited at least once.

What is the probability that it ends on the 6?

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