Probability vector

In mathematics and statistics, a probability vector or stochastic vector is a vector with non-negative entries that add up to one.

The positions (indices) of a probability vector represent the possible outcomes of a discrete random variable, and the vector gives us the probability mass function of that random variable, which is the standard way of characterizing a discrete probability distribution.

[1] Here are some examples of probability vectors.

The vectors can be either columns or rows.

Therefore, the set of stochastic vectors coincides with the standard