## Buffon's Needle Problem

Find the probability that a needle of length will land on a line, given a floor with equally spaced Parallel Lines a distance apart.

Several attempts have been made to experimentally determine by needle-tossing. For a discussion of the relevant statistics and a critical analysis of one of the more accurate (and least believable) needle-tossings, see Badger (1994).

References

Badger, L. Lazzarini's Lucky Approximation of .'' Math. Mag. 67, 83-91, 1994.

Dörrie, H. Buffon's Needle Problem.'' §18 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 73-77, 1965.

Kraitchik, M. The Needle Problem.'' §6.14 in Mathematical Recreations. New York: W. W. Norton, p. 132, 1942.

Wegert, E. and Trefethen, L. N. From the Buffon Needle Problem to the Kreiss Matrix Theorem.'' Amer. Math. Monthly 101, 132-139, 1994.