One Candle Each

An Advanced Mathematics Lesson Starter Of The Day

Two Candles

A birthday cake has two candles randomly placed. At a random point along the length of the cake a cut is made. What is the probability that both pieces of cake have a candle on them?

Assume the cake is in the shape of a cuboid.

[Adapted from a puzzle created by David Bedford published in Headscratchers: The New Scientists Puzzle Book]

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