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Strike a Chord (..Any Chord) (Posted on 2003-10-09) Difficulty: 4 of 5
What is the probability that a randomly drawn chord will be longer than the radius of the circle?

Prove it.

No Solution Yet Submitted by DJ    
Rating: 4.5263 (19 votes)

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Some Thoughts A needed fact | Comment 12 of 51 |
I think you need to explain how the chord was "randomly drawn" first, before calculating any probabilities.

In any case, I arrived to the answer 2/3 by two different ways:

starting with a point, just take another in the circunference

starting with a point, draw a line at a random angle, and thus determine the other point.

Of course, by "randomly" I here mean "with a uniform distribution" -- but that isn't necessary, you know...
  Posted by Federico Kereki on 2003-10-09 22:01:41
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