They are both measures of the likelihood of specified events.
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They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.
None of the experimental probabilities need match the corresponding theoretical probabilities exactly.
The term empirical means "based on observation or experiment." An empirical probability is generally, but not always, given with a number indicating the possible percent error (e.g. 80+/-3%). A theoretical probability, however, is one that is calculatedbased on theory, i.e., without running any experiments.Since there is no theory that will calculate the probability that an area will experience an earthquake within a given time frame, the 90% figure is an empirical probability, presumably based on data of major earthquakes in the San Francisco area over past years.
Theoretical
They are both estimates of the probability of outcomes that are of interest. Experimental probabilities are derived by repeating the experiment a large number of times to arrive at these estimates whereas theoretical probabilities are estimates based on a mathematical model based on some assumptions.