Does shuffle() produce uniform result ?

Steve Holden steve at holdenweb.com
Fri Aug 24 07:42:12 EDT 2007


tooru honda wrote:
> Hi,
> 
> I have read the source code of the built-in random module, random.py.  
> After also reading Wiki article on Knuth Shuffle algorithm, I wonder if 
> the shuffle method implemented in random.py produces results with modulo 
> bias.
> 
> The reasoning is as follows: Because the method random() only produces 
> finitely many possible results, we get modulo bias when the number of 
> possible results is not divisible by the size of the shuffled list.
> 
> 1. Does shuffle() produce uniform result ?
> 
Given the cycle length of the Mersenne twister algorithm that generates 
the underlying random numbers, it would have to be a pretty long list to 
see a significant bias, don't you think? Have you done any calculations 
on the length of list you propose to use?

> 2. If not, is there a fast and uniform shuffle() available somewhere ?
> 
Frankly I don't think you need to worry.

regards
  Steve
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