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.

© 1996-9

1999-05-26