#### Summary

In this chapter, we explore several problems in geometric probability. These problems are interesting, conceptually clear, and the analysis is relatively simple. Thus, they are good problems for the student of probability. In addition, Buffon's problems and Bertrand's problem are historically famous, and contributed significantly to the early development of probability theory.

#### Topics

- Buffon's Problems
- Bertrand's Paradox
- Random Triangles

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#### Quote

There is no royal road to geometry.

—Euclid