What is the probability that a randomly drawn chord will be longer than the radius of the circle?
Prove it.
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 20040105 03:58:47 