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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Both right, but... | Comment 6 of 51 |
(In reply to re: Both right, but... by RoyCook)

I agree with RoyCook. Bryan takes "random" to mean the endpoints are uniformly distributed around the circle. np_rt has the chords uniformly distributed along the bisecting diameter. These are most definitely NOT the same, particularly near the ends of the diameter.

I think Bryan's choice of "random" is much more natural, and probably what DJ had in mind.
Edited on October 9, 2003, 4:47 pm
  Posted by Brian Wainscott on 2003-10-09 16:47:14

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