Support (Probability distribution)

The support of a probability distribution can be loosely though of as the closure of the set of possible values of a random variables having that distribution.

By definition support does not contain values that map to a probability of zero.

when we observer values from some distribution, then the drawn value is an element of the support, and picked randomly accordingly to the associated probabilities.

The support of a distribution can be given by {0,1} for a discrete binary, or $$ x \in (- \infty, \infty) $$

wikipedia: "The support of a distribution is the smallest closed interval/set whose complement has probability zero. It may be understood as the points or elements that are actual members of the distribution."