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To make a dice roll uniform, wouldn’t it be easier to do randomNumber % 8 and only use it if it is from 0 to 5, and discard and re-roll otherwise?

(Since we can reasonably assume that randomNumber is a binary number, and thus would be balanced over 8 values instead of 6.)

That depends on the modulus being divisible by 8, which is not always the case. A common example is modulus = 2^31 - 1 [0] which is prime.