Difference between revisions of "2003 AMC 12B Problems/Problem 25"

(Created page with '== Problem == Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distance between the points are less than the radius…')
 
(formatting fixes and box)
Line 7: Line 7:
 
\qquad\mathrm{(D)}\ \dfrac{1}{12}
 
\qquad\mathrm{(D)}\ \dfrac{1}{12}
 
\qquad\mathrm{(E)}\ \dfrac{1}{9}</math>
 
\qquad\mathrm{(E)}\ \dfrac{1}{9}</math>
 +
 +
==Solution==
 +
 +
{{solution}}
 +
 +
==See Also==
 +
 +
{{AMC12 box|ab=B|year=2003|num-b=24|after=Last Problem}}

Revision as of 17:21, 1 June 2011

Problem

Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distance between the points are less than the radius of the circle?

$\mathrm{(A)}\ \dfrac{1}{36} \qquad\mathrm{(B)}\ \dfrac{1}{24} \qquad\mathrm{(C)}\ \dfrac{1}{18} \qquad\mathrm{(D)}\ \dfrac{1}{12} \qquad\mathrm{(E)}\ \dfrac{1}{9}$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

2003 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 24
Followed by
Last Problem
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions