Pick two points A and B independently at random in a ball with centre O. Show that the probabilitythat the angle AOB is obtuse is g. Compare this with the corresponding result for two points pickedat random in a circle.

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Pick two points A and B independently at random in a ball with centre O. Show that the probability that the angle AOB is obtuse is . Compare this with the corresponding result for two points picked at random in a circle.

Pick two points A and B independently at random in a ball with centre O. Show that the probability that the angle AOB is obtuse is . Compare this with the corresponding result for two points picked at random in a circle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 30CR: Given a die in the shape of a regular octahedron, find the probability that one roll produces a an...

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Pick two points A and B independently at random in a ball with centre O. Show that the probability
that the angle AOB is obtuse is g. Compare this with the corresponding result for two points picked
at random in a circle.

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