Conditional probability table

In statistics, the conditional probability table (CPT) is defined for a set of discrete (not independent) random variables to demonstrate marginal probability of a single variable with respect to the others. For example, assume there are three random variables ${\displaystyle x_{1},x_{2},x_{3}}$ where each have ${\displaystyle K}$ states. Then, the conditional probability table of ${\displaystyle x_{1}}$ provides the marginal probability values for ${\displaystyle P(x_{1}\mid x_{2},x_{3})}$. Clearly, this table has K³ cells. In general, for ${\displaystyle M}$ number of variables ${\displaystyle x_{1},x_{2},\ldots ,x_{M}}$ with ${\displaystyle K}$ states, the CPT has size K^M.

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