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#1 2018-12-04 21:10:55

Spicca
Member
Registered: 2018-12-04
Posts: 1

Probability function

Pick 4 random points on a sphere. what Probability function has the volume of tetrahedron with these points?

I've seen the question of average volume from somewhere and I am interested in the probabilities of the volume. (unfortunately I couldn't understand the answer...)

I'm sorry if my english is bad. If you don't understand anything please let me know. Thank you!

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#2 Yesterday 16:45:29

mr.wong
Member
Registered: 2015-12-01
Posts: 251

Re: Probability function

Hi  Spicca , 

I  really  cannot  solve  this  problem . Or  we  may  consider  a  similar  but  simpler  one  of  2- dimensional  ,  perhaps  we  can  get  some  hint .

From  a  circle  with  radius  1  unit , 3  points  are  picked  randomly  on  its  circumference . Find  the  expected  area  of  the  triangle  so  formed .

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