# 3: Conditional Probability

- Page ID
- 10814

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The probability *P*(*A*) of an event *A* is a measure of the likelihood that the event will occur on any trial. Sometimes partial information determines that an event *C* has occurred. Given this information, it may be necessary to reassign the likelihood for each event *A*. This leads to the notion of conditional probability. For a fixed conditioning event *C*, this assignment to all events constitutes a new probability measure which has all the properties of the original probability measure. In addition, because of the way it is derived from the original, the conditional probability measure has a number of special properties which are important in applications.