What does "$Y\mid X=x$" mean?

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In statistics, what does "$Y\mid X=x$" mean? ($Y$ and $X$ are discrete random variables)

"$\mid$" is not "$\div$", right?

Please help me. It will be a great help to me.

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By itself $Y|X=x$ has no meaning. But quantities like $E(Y|X=x), P(Y \leq y|X=x)$ have a meaning. Here $|X=x$ means '' given $X=x$' so these quantities are conditional expectations and conditional probabilities.