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OpenStudy (anonymous):
Help! 27 points are equally spaced on a circle. If two points are randomly selected, what is the probability that both are contained on some 90 degree arc? Express your answer as a common fraction.
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OpenStudy (mathmate):
two "distinct" points?
OpenStudy (anonymous):
yes
OpenStudy (mathmate):
The first point is immaterial, wherever it goes. There are 6 adjacent points on each side out of the remaining 26 points that lie within 90 deg. of the first point. So the probability is 12/26=6/13.
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