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The key difference between experimental and observational study is that an experimental study is a study where the researcher has control over most of the variables. On the other hand, an observation study is a study where the researcher merely observes the subject without controlling any variables.
The difference between experimental probability and theoretical probability is that experimental probability is the probability determined in practice. Theoretical probabilityâ¦ is the probability that should happen. For example, the theoretical probability of getting any single number on a number cube is one sixth. But maybe you roll it twice and get a four both times. That would be an example of experimental probability.