maheshrijal opened a new pull request, #20724:
URL: https://github.com/apache/druid/pull/20724

   Fixes #20627.
   
   ### Description
   
   The test allowed each server's pick count to be within 2% of the total. At 
the 5% sample size only ~2,500 segments are picked, so that is ±50 against a 
standard deviation of ~24 (server0) and ~20 (others), which fails about 1 in 20 
runs.
   
   The tolerance is now 4 standard deviations of the expected binomial count, 
`4 * sqrt(n * p * (1 - p))`. At 5% that is ±98 for server0 and ±80 for the 
others. A sampler that picked uniformly instead of by segment count (25% vs 
40%) still fails by a wide margin.
   
   #### Release note
   
   None. Test-only change.
   
   <hr>
   
   This PR has:
   
   - [x] been self-reviewed.
   
   #### Generative AI usage
   
   Written with help from Claude.
   


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