Theoretical probability is the probability of something occurring when the math is done out on paper or 'in theory' such as the chance of rolling a six sided dice and getting a 2 is 1/6. Experimental probability is what actually occurs during an experiment trying to determine the probability of something. If a six sided dice is rolled ten times and the results are as follows 5,2,6,2,5,3,1,4,6,1 then the probability of rolling a 2 is 1/3. The law of large numbers states the more a probability experiment is preformed the closer to the theoretical probability the results will be.
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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.