Difference between revisions of "1973 USAMO Problems/Problem 3"
(New page: ==Problem== Three distinct vertices are chosen at random from the vertices of a given regular polygon of <math>(2n+1)</math> sides. If all such choices are equally likely, what is the prob...) |
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Revision as of 14:24, 30 December 2008
Problem
Three distinct vertices are chosen at random from the vertices of a given regular polygon of 
sides. If all such choices are equally likely, what is the probability that the center of the given polygon lies in the interior of the triangle determined by the three chosen random points?
Solution
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See also
| 1973 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
