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An experiment is carried out repeatedly. The total number of times the experiment is conducted and the number of times in which the results are outcomes of interest are recorded. These counts are then used to calculate the experimental probabilities of the outcomes.
In a probability experiment, various outcomes are possible and the experiment is conducted to observe which outcomes occur. The experiment is performed repeatedly to collect data and determine the likelihood or probability of each outcome happening. The results of the experiment are analyzed to understand and make predictions about future occurrences of the event.
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.
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.
The probability of an event may be measured experimentally or theoretically. In experimental probability, an experiment is conducted repeatedly. The probability of the event is the number of experiments in which the event occurs as a proportion of the number of times the experiment is conducted. By contrast, the theoretical probability is calculated from theoretical models and laws of science (and some assumptions about unbiased/fairness).