Probability theory MOC

Conditional probability

Conditional probability allows the investigation of how the knowledge of one event occurring effects the knowledge of the other one. Given a probability model , and two events , the conditional probability of given is #m/def/prob

unless , in which case .¹ The function forms a probability measure on the same space as .

Properties

4. Let partition . Then

See also

• Conditional distribution
• Conditional independence
• Conditional expected value
• Conditional variance

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