Probability formula derivation - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T07:09:19Z http://mathoverflow.net/feeds/question/67593 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/67593/probability-formula-derivation Probability formula derivation Mike Pemberton 2011-06-12T18:27:59Z 2011-06-12T18:59:34Z <p>How is the following formula derived which yields the probability that the sum of the squares of n random draws from the closed interval [-1,1] is less than one?</p> <p>formula: (1/2^n)*pi^(n/2)/(n/2)!</p> http://mathoverflow.net/questions/67593/probability-formula-derivation/67596#67596 Answer by Michael Renardy for Probability formula derivation Michael Renardy 2011-06-12T18:59:34Z 2011-06-12T18:59:34Z <p>Volume of the ball divided by volume of the cube.</p>