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Wolfram Language & System Documentation Center
RandomSample
  • See Also
    • RandomChoice
    • RandomInteger
    • SeedRandom
    • BlockRandom
    • Permutations
    • Subsets
    • Span
    • Downsample
  • Related Guides
    • Random Number Generation
    • Permutations
    • Discrete Mathematics
    • Rearranging & Restructuring Lists
    • Tabular Transformation
  • Tech Notes
    • Random Number Generation
    • See Also
      • RandomChoice
      • RandomInteger
      • SeedRandom
      • BlockRandom
      • Permutations
      • Subsets
      • Span
      • Downsample
    • Related Guides
      • Random Number Generation
      • Permutations
      • Discrete Mathematics
      • Rearranging & Restructuring Lists
      • Tabular Transformation
    • Tech Notes
      • Random Number Generation

RandomSample[{e1,e2,…},n]

gives a pseudorandom sample of n of the ei.

RandomSample[{w1,w2,…}{e1,e2,…},n]

gives a pseudorandom sample of n of the ei chosen using weights wi.

RandomSample[{e1,e2,…}]

gives a pseudorandom permutation of the ei.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
Possible Issues  
See Also
Tech Notes
Related Guides
Related Links
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • RandomChoice
    • RandomInteger
    • SeedRandom
    • BlockRandom
    • Permutations
    • Subsets
    • Span
    • Downsample
  • Related Guides
    • Random Number Generation
    • Permutations
    • Discrete Mathematics
    • Rearranging & Restructuring Lists
    • Tabular Transformation
  • Tech Notes
    • Random Number Generation
    • See Also
      • RandomChoice
      • RandomInteger
      • SeedRandom
      • BlockRandom
      • Permutations
      • Subsets
      • Span
      • Downsample
    • Related Guides
      • Random Number Generation
      • Permutations
      • Discrete Mathematics
      • Rearranging & Restructuring Lists
      • Tabular Transformation
    • Tech Notes
      • Random Number Generation

RandomSample

RandomSample[{e1,e2,…},n]

gives a pseudorandom sample of n of the ei.

RandomSample[{w1,w2,…}{e1,e2,…},n]

gives a pseudorandom sample of n of the ei chosen using weights wi.

RandomSample[{e1,e2,…}]

gives a pseudorandom permutation of the ei.

Details

  • RandomSample is also known as simple random sampling or sampling without replacement.
  • RandomSample[{e1,e2,…},n] never samples any of the e_(i) more than once.
  • RandomSample[{e1,e2,…},n] samples each of the e_(i) with equal probability.
  • RandomSample[{e1,e2,…},UpTo[n]] gives a sample of n of the ei, or as many as are available.
  • RandomSample[i;;j;;k,n] may be used to sample the Span from i to j in steps of k.
  • RandomSample gives a different sequence of pseudorandom choices whenever you run the Wolfram Language. You can start with a particular seed using SeedRandom.
  • A Method option to SeedRandom can be given to specify the pseudorandom generator used.

Examples

open all close all

Basic Examples  (3)

Find a sample in which no elements ever occur more than once:

Generate a random permutation:

Generate a random sample of 6 elements, or as many as there are if fewer:

Scope  (4)

The elements can be any expressions:

With larger weights for later elements, later elements tend to be selected for the sample:

Sample over all numbers between -10 and 10:

Sample over even numbers between -10 and 10:

Guarantee that a set of random integers over a big range has no repetitions:

Applications  (1)

Successively fill in black squares down the page:

Properties & Relations  (3)

Use SeedRandom to get repeatable random values:

Use BlockRandom to block one use of RandomSample from affecting others:

RandomSample of size 1 follows the same distribution as RandomChoice:

Possible Issues  (1)

If the sample size is larger than the population size, an error message is returned:

See Also

RandomChoice  RandomInteger  SeedRandom  BlockRandom  Permutations  Subsets  Span  Downsample

Function Repository: BootstrappedEstimate  Shuffle

Tech Notes

    ▪
  • Random Number Generation

Related Guides

    ▪
  • Random Number Generation
  • ▪
  • Permutations
  • ▪
  • Discrete Mathematics
  • ▪
  • Rearranging & Restructuring Lists
  • ▪
  • Tabular Transformation

Related Links

  • An Elementary Introduction to the Wolfram Language : Rearranging Lists

History

Introduced in 2007 (6.0) | Updated in 2014 (10.0) ▪ 2015 (10.3)

Wolfram Research (2007), RandomSample, Wolfram Language function, https://reference.wolfram.com/language/ref/RandomSample.html (updated 2015).

Text

Wolfram Research (2007), RandomSample, Wolfram Language function, https://reference.wolfram.com/language/ref/RandomSample.html (updated 2015).

CMS

Wolfram Language. 2007. "RandomSample." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/RandomSample.html.

APA

Wolfram Language. (2007). RandomSample. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RandomSample.html

BibTeX

@misc{reference.wolfram_2025_randomsample, author="Wolfram Research", title="{RandomSample}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/RandomSample.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_randomsample, organization={Wolfram Research}, title={RandomSample}, year={2015}, url={https://reference.wolfram.com/language/ref/RandomSample.html}, note=[Accessed: 01-December-2025]}

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