A probability vector lists the probabilities of the outcomes in a finite sample space. Its entries are nonnegative and sum to one, so a column probability vector is a point of a probability simplex. Row and column conventions describe the same probability distribution, but they determine whether a stochastic matrix acts on the right or its transpose acts on the left.
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A probability vector is a mathematical object that represents a probability distribution over a discrete set of outcomes. In simpler terms, it's a vector (an ordered list) where each element corresponds to the probability of a particular outcome occurring, and the sum of all the probabilities in the vector equals one. ### Key Characteristics of a Probability Vector: 1. **Non-negativity**: Each element of the probability vector must be non-negative. This means that the probability of any outcome cannot be less than zero.