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Not sure about only two requirements. I would say all of the following:

  • there is a finite (or countably infinite) number of mutually exclusive outcomes possible,
  • the probability of each outcome is a number between 0 and 1,
  • the sum of the probabilities over all possible outcomes is 1.

The Poisson distribution, for example, is countably infinite.

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Q: What are two requirements for a discrete probability distribution?
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