Implicit random variable value

by Alexandre   Last Updated January 15, 2018 13:19 PM

Wikipedia freely uses notation $P(Y|X)$, to usually mean $P(Y=y|X=x)$. Is there any other use of this notation (random variable within a PMF without mention of a particular value)? In other words, can I (mentally) insert the =value any time I see this sort of thing? Additionally, is this notation well accepted?

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