Differences between sample space and sample point set and their expressions

Pick a card at random from 52 playing cards. One possible sample space is numbers (a to k), and the other possible sample space is colors (spades, hearts, clubs, diamonds).

Second, set the difference:

The set of all possible basic results of a random experiment e (or an experimental process such as taking or allocating methods) is called the sample space of e, and is recorded as an element of the sample space, that is, every possible result of e.

Extended data

Example exercise:

Generally, there are a large number or even infinite observation units. In practical work, it is generally impossible or unnecessary to study each observation unit one by one. We can only extract some observation units for actual observation or investigation, and then infer and estimate the overall situation according to the observation and research results of these observation units.

For example, in the above example of the new drug for treating influenza, only a limited number of patients were treated, but the conclusion should be extended to all people, and the curative effect of the drug on all influenza patients should be known regularly. Therefore, the purpose of observing samples is to infer the whole, which is the dialectical relationship between samples and the whole.

Generally speaking, the content of the sample is related to the unit. For example, the eyesight survey of 300 middle school students in a middle school, the sample is the eyesight of 300 middle school students, and the sample size is 300.