perplexus.info :: Probability : Pair Ponder

Pair Ponder (Posted on 2014-08-07)

Three points are chosen randomly and independently on a circle.

Determine the probability that each of the three pairwise distances between the points is less than the radius of the circle.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required probability is 1/12.
For an explanation, refer to the solution submitted by Charlie here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
simulation verification	Charlie	2014-08-07 13:29:43
solution	Charlie	2014-08-07 12:22:36

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