Editing Independence (probability theory) (section)

====Log probability and information content====
Stated in terms of [[log probability]], two events are independent if and only if the log probability of the joint event is the sum of the log probability of the individual events:
:<math>\log \mathrm{P}(A \cap B) = \log \mathrm{P}(A) + \log \mathrm{P}(B)</math>
In [[information theory]], negative log probability is interpreted as [[information content]], and thus two events are independent if and only if the information content of the combined event equals the sum of information content of the individual events:
:<math>\mathrm{I}(A \cap B) = \mathrm{I}(A) + \mathrm{I}(B)</math>
See ''{{slink|Information content|Additivity of independent events}}'' for details.