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Half a Circle, Half a Sphere (Posted on 2009-10-28) Difficulty: 3 of 5
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?

See The Solution Submitted by Brian Smith    
Rating: 3.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
From Part 1 to Part 2 (spoiler)Harry2009-11-03 15:26:54
Some Thoughtspart 2 numerically -- monte carlo method (spoiler)Charlie2009-10-28 13:10:27
First partJim Keneipp2009-10-28 11:32:25
Some Thoughtschoosing random pointsCharlie2009-10-28 11:13:08
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