Conditional probability: Difference between revisions

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=== Conditioning on a discrete random variable ===
{{See also|Conditional probability distribution|Conditional expectation|Regular conditional probability}}
Let {{mvar|X}} be a discrete random variable and its possible outcomes denoted {{mvar|V}}. For example, if {{mvar|X}} represents the value of a rolled diedice then {{mvar|V}} is the set <math>\{ 1, 2, 3, 4, 5, 6 \}</math>. Let us assume for the sake of presentation that {{mvar|X}} is a discrete random variable, so that each value in {{mvar|V}} has a nonzero probability.
 
For a value {{mvar|x}} in {{mvar|V}} and an event {{mvar|A}}, the conditional probability