Difference between revisions of "1983 USAMO Problem 1"

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==1983 USAMO problem 1==
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==1983 USAMO Problem One==
  
 
If six points are chosen sequentially at random on the circumference of a circle, what is the probability that the triangle formed by the first three is disjoint from that formed by the second three?
 
If six points are chosen sequentially at random on the circumference of a circle, what is the probability that the triangle formed by the first three is disjoint from that formed by the second three?

Latest revision as of 18:19, 13 November 2011

1983 USAMO Problem One

If six points are chosen sequentially at random on the circumference of a circle, what is the probability that the triangle formed by the first three is disjoint from that formed by the second three?