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Probability
Half a Circle, Half a Sphere (
Posted on 20091028
)
Three points on the circumference of a circle are chosen at random. What is the probability the points are all on the same semicircle?
Four points on the surface of a sphere are chosen at random. What is the probability the points are all on the same hemisphere?
Submitted by
Brian Smith
Rating:
3.0000
(3 votes)
Solution:
(
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Probability of three points on the same semicircle of a circle = 3/4
Probability of four points on the same hemisphere of a sphere = 7/8
Harry provides an
explanation here
.
Comments: (
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Subject
Author
Date
From Part 1 to Part 2 (spoiler)
Harry
20091103 15:26:54
part 2 numerically  monte carlo method (spoiler)
Charlie
20091028 13:10:27
First part
Jim Keneipp
20091028 11:32:25
choosing random points
Charlie
20091028 11:13:08
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