As we shall see in greater length in Chapter 00, Arbuthnot in 1712 observed that year after year the number of boys born in London was larger than the number of girls, and he wanted to know if he could properly infer from the sample that this is a natural law. The boundaries are derived from a sample of the main reservoir of the reagent. Or one can see the prediction as inferred from the sample evidence of the ten observations of the reservoir. Perhaps we should think of statistics as meta-probability, though some probability questions are not statistics. Or we can say that all statistics questions are probabilistic, but not all probability questions are statistical.
Probability is a very easy subject compared to statistics.
Furthermore, the mathematics of probability is easy to teach, if one agrees that simulation is an admissible technique. This may be seen in how supposedly-challenging problems in probability are easy to do correctly with simulation. Statistics is the opposite of probability in those respects. Even more important, the issue of purpose is at the root of every problem in statistics. The answer must depend upon the purpose of the investigation.