It is true that probability distribution of a discrete random variable requires the sum of all probabilities to be one.
A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
The basic requirement of probability distribution is
Each probability must be between 0 and 1, inclusive,
and the sum of the probabilities must equal 1.
Each probability must be between 0 and 1, inclusive, and the sum of the probabilities must equal 1.
Hence, the statement probability distribution of a discrete random variable requires the sum of all probabilities to be one is True.
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