Here are examples of a probability vector:
x_{0} = <math>
\begin{bmatrix} .5 \\ .25 \\ .25 \end{bmatrix}</math>
x_{1} = <math>
\begin{bmatrix} 0 \\ 1 \\ 0 \end{bmatrix}</math>
x_{2} = <math>
\begin{bmatrix} .65 \\ .35 \end{bmatrix}</math>
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