As the title, I want to ask for some examples showing necessity and advantage of emperical definition of probability in teaching high school students.
We knew that the classical definition has some disadvantages, i.e, the sample space has to be finite and all cases are equally possible. Those are motivations for mathematicians to come up with the emperical definition. I would like to know some simple examples (to teach high school students) which we cannot apply the classical definition to calculate the probability.
Thank you very much.