1999 AHSME Problems/Problem 24
Problem
Six points on a circle are given. Four of the chords joining pairs of the six points are selected at random. What is the probability that the four chords form a convex quadrilateral?
Solution
There are chords, and therefore
ways how to choose four chords.
Each set of four points corresponds to exactly one convex quadrilateral, therefore there are cases in which the four chords form a convex quadrilateral.
The resulting probability is .
See also
1999 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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