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Buffon's Needle: An Expedition into Geometric Probability

What is the probability that a needle dropped on a tiled floor intersects one of the lines? Learn about probability density functions, conditional probability and more with geometric probability's most famous puzzle!

PROBLEM OF THE WEEK

Image by Antoine Dautry
A Problem from the 1972 International Mathematical Olympiad

Prove that from a set of ten distinct two-digit numbers (in the decimal system), it is possible to select two disjoint subsets whose members have the same sum.

 

A fun beginner's exercise in using the pigeonhole principle to solve Olympiad-style problems! 

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