Conditional probability distribution

In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome given the occurrence of a particular event. Given two jointly distributed random variables X {\displaystyle X} and Y {\displaystyle Y} , the conditional probability distribution of Y {\displaystyle Y} given X {\displaystyle X} is the probability distribution of Y {\displaystyle Y} when X {\displaystyle X} is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value x {\displaystyle x} of X {\displaystyle X} as a parameter.

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