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A number allotted randomly using suitable generator (electronic machine or as simple "generator" as die).

Additional definitions for 'random number':

random numberUsed other than as an idiom: see random, number.
random numberA number selected based on a uniform distribution, typically using a suitable generator (for example, rolling a die).
random numberA pseudorandom number.
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"random number." Phrases.net. STANDS4 LLC, 2018. Web. 17 Oct. 2018. <https://www.phrases.net/phrase/random-number_14507>.

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