On a circumference of a given circle with a radius R two random points A & B are independently chosen.
What is the probability of AB being less than R ?
(In reply to
re: There must be a reason for the D3 rating. by Ady TZIDON)
Bertrand's Paradox is about picking a random chord and the problem that can arise from not defining how such a chord is to be determined. If you choose different methods to define a random chord you can different results.
That does not apply here. There is only one method of picking points on a circle that does not feel contrived: with a uniform distribution along the circumference which corresponds to a uniform distribution of the angle.
If we try to get a Bertrand style paradox here, we might say that a random chord's endpoints are two random points. But it's hard to justify calling them independent.
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Posted by Jer
on 2018-04-26 14:44:33 |
re(2): There must be a reason for the D3 rating. No.
