# Marginal Probability We may be interested in the probability of an event for one random variable, irrespective of the outcome of another random variable. There is no special notation for marginal probability; it is just the sum or union over all the probabilities of all events for the second variable for a given fixed event for the first variable. $$ P(X=A) = \sum\_{i=1}^n P(X=A,Y=y\_i) = \sum\_{y} P(X,Y) $$ --- # Agent Instructions: Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter: ``` GET https://ai.nuhil.net/probability/marginal-probability.md?ask= ``` The question should be specific, self-contained, and written in natural language. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.