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Uniform Random Varibable CFA Quant!!

Page 388 of the CFA Quant book under solution to 1: EBITDA/Interest is a continous uniform random variable because all outcomes are equally likely.
I thought that was the definition for a discrete uniform random variable ( probabilities are equal for all possible outcomes).
I’m confused about Discrete uniform random variables and continuous uniform distributions.
Can someone please help me.

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