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A point in space (x,y,z) is randomly selected so that  \(-1\le x \le 1, -1\le y \le 1, -1\le z \le 1\)What is the probability that \(x^2+y^2+z^2\le 1?\)

 May 10, 2016
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The locus described is the set of all points lying inside and on  a sphere of radius 1. There is an infinite number of spheres inside this,represented by the equation x^2  + y^2  + z^2  less than or equal to 1.

So it is a certainty . ie probability is  1.

 May 10, 2016

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