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Difference between revisions of "AoPS Wiki:Problem of the Day/August 9, 2011"

(Created page with "Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distances between the points are less than the radius of the circ...")
 
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Latest revision as of 18:19, 9 August 2011

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

$\textbf{(A)}$ $\frac{1}{36}$ $\textbf{(B)}$ $\frac{1}{24}$ $\textbf{(C)}$ $\frac{1}{18}$ $\textbf{(D)}$ $\frac{1}{12}$ $\textbf{(E)}$ $\frac{1}{9}$

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