Quote:
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Originally Posted by urquel
Do the random numbers have to all be different? Do they have to be unique?
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A random number sequence should guarantee
independence of its elements. Unicity is not a criterion: by coincidence two numbers might be identical, and the probability of this to occur should be exactly equal to 1/n, where n is the number of different random numbers that can be generated (in case of a uniformly distributed random number, which is most often what people want).
"Independence" means that e.g. the value of the second number is not influenced by the first one, i.e., that it has probability 1/n of being any of the n possibly outcomes, just like the first one had.