Usually means: Lack of pattern or predictability.
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We found 22 dictionaries that define the word randomness:

General (14 matching dictionaries)
  1. randomness: Merriam-Webster
  2. randomness: Oxford Learner's Dictionaries
  3. randomness: Collins English Dictionary
  4. randomness: Vocabulary.com
  5. Randomness, randomness: Wordnik
  6. randomness: Wiktionary
  7. randomness: Dictionary.com
  8. Randomness: Wikipedia, the Free Encyclopedia
  9. randomness: Rhymezone
  10. randomness: FreeDictionary.org
  11. randomness: Mnemonic Dictionary
  12. randomness: TheFreeDictionary.com

Business (1 matching dictionary)
  1. randomness: Legal dictionary

Computing (2 matching dictionaries)
  1. randomness: Free On-line Dictionary of Computing
  2. randomness: Encyclopedia

Medicine (2 matching dictionaries)
  1. online medical dictionary (No longer online)
  2. randomness: Medical dictionary

Science (1 matching dictionary)
  1. FOLDOP - Free On Line Dictionary Of Philosophy (No longer online)

Slang (1 matching dictionary)
  1. The Randomness, randomness: Urban Dictionary

Tech (1 matching dictionary)
  1. Glossary of Meteorology (No longer online)

(Note: See random as well.)

Definitions from Wiktionary (randomness)

noun:  The property of all possible outcomes being equally likely.
noun:  (mathematics) A type of circumstance or event that is described by a probability distribution.
noun:  A measure of the lack of purpose, logic, or objectivity of an event.

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