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File:Two red dice 01.svg
Dice are an example of a mechanical hardware random number generator. When a cubical die is rolled, a random number from 1 to 6 is obtained.

A random number is generated by a random (stochastic) process such as throwing dice. Individual numbers cannot be predicted, but the likely result of generating a large quantity of numbers can be predicted by specific mathematical series and statistics.

Algorithms and implementationsEdit

Random numbers are frequently used in algorithms such as Knuth's 1964-developed algorithm<ref>Template:Cite journal</ref> for shuffling lists. (popularly known as the Knuth shuffle or the Fisher–Yates shuffle, based on work they did in 1938).

In 1999, a new feature was added to the Pentium III: a hardware-based random number generator.<ref name=Random.NetwCom99>

  Template:Cite magazine</ref><ref name=RandomPenIII.Wired99>Template:Cite magazine</ref> It has been described as "several oscillators combine their outputs and that odd waveform is sampled asynchronously."<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref> These numbers, however, were only 32 bit, at a time when export controls were on 56 bits and higher, so they were not state of the art.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Common understandingEdit

In common understanding, "1 2 3 4 5" is not as random as "3 5 2 1 4" and certainly not as random as "47 88 1 32 41" but "we can't say authoritavely that the first sequence is not random ... it could have been generated by chance."<ref name=RandomArticle.SS1998> Template:Cite magazine</ref>

When a police officer claims to have done a "random .. door-to-door" search, there is a certain expectation that members of a jury will have.<ref> Template:Cite news</ref><ref>A pre-compiled list of apartment numbers would be a violation thereof.</ref>Template:Examples

Real world consequencesEdit

Flaws in randomness have real-world consequences.<ref name=RandomArticle_Encr.NYT2012>Template:Cite news</ref><ref name=RandomArticle_Lott.NYT2012>Template:Cite news</ref>

A 99.8% randomness was shown by researchers to negatively affect an estimated 27,000 customers of a large service<ref name=RandomArticle_Encr.NYT2012/> and that the problem was not limited to just that situation.Template:Clarify

See alsoEdit

ReferencesEdit

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