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Maximum sum (Posted on 2004-07-29) Difficulty: 3 of 5
What's the probability that n random numbers from [0,1] will sum less than 1?

(For purists: "uniformly distributed, independent" random numbers are assumed.)

See The Solution Submitted by Federico Kereki    
Rating: 3.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: simulation results | Comment 2 of 9 |
(In reply to simulation results by Charlie)

Oh, yes, I left out the rows for n=1 and n=2 as in those cases it is seen the probabilities are 1/1 and 1/2 respectively (the latter by symmetry  of <1 with >1), and those denominators are 1! and 2! respectively.
  Posted by Charlie on 2004-07-29 09:00:40

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