empirical probability is when you actually experiment with it and get data values, and theoretical probability is when you use math to make an educated guess.
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Empirical anything is what is observed. Theoretical is a calculation of what things ought to be.
Empirical probabilities.
In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)
Theoretical implies the mathematical calculation of the probability. Empirical means the actual outcomes to happen.
There is no information on the relevant theoretical basis for estimating the probability: only an empirical or experimental, basis.