RandomInteger

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RandomInteger[{min, max}]

yields a pseudorandom integer in the range from min to max inclusive.

RandomInteger[max]

yields a pseudorandom integer in the range from 0 to max inclusive.

RandomInteger[]

gives 0 or 1.

RandomInteger[range, n]

gives a list of n pseudorandom integers.

RandomInteger[range, {$n_1$, $n_2$, ...}]

gives a nested list of pseudorandom integers.

Calling RandomInteger changes $RandomState:

RandomComplex
RandomReal