The theoretical probability of an event is the probability that is calculated on theoretical considerations. This normally entails modelling the experiment and then employing the laws of science to determine the event space and the probabilities of the outcomes.
For example, suppose you wish to determine the theoretical probability of getting the number 5 when you roll a normal die. There are 6 possible outcomes. If the die is fair then each of these outcomes is equally likely. Therefore the probability of any particular number - for example, 5 - is 1/6.
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As the number of times that the experiment is conducted increases, the experimental probability will near the theoretical probability - unless there is a problem with the theoretical model.
Theoretical probability:Theoretical probability is when you decide what is the probability of something using the information that is given to you!
Theoretical probability- what the probability "should be" if all outcomes are equally likely.
In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)
Theoretical probability is what should occur (what you think is going to occur) and experimental probability is what really occurs when you conduct an experiment.