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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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Solution Bertrand problem - paradox | Comment 42 of 51 |
This problem is known as "Bertrand problem" and has 3 solutions:
1. as Bryan said: p=2/3 in case the hazard refers to the angle of the chord
2. as np_rt said: √3/2 in case the hazard refers to the distance between the chord and the center of the circle
3. as Benjamin said: 3/4 in case the hazard refers to the positioning of the center of the chord in the circle.
It is correct to place this problem in "paradox".
  Posted by luminita on 2004-01-05 03:58:47
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