Deterministic sample is not considered a random sample?

[davidwagner]

Chapter 10 says that a deterministic sample is not a random sample, as it doesn't involve chance.

That chapter also says "A probability sample is one for which it is possible to calculate, before the sample is drawn, the chance with which any subset of elements will enter the sample." It doesn't appear to define "random sample".

I find this confusing. Technically, a deterministic sample is a probability sample. The chance of every subset can be computed: it is either 1 (for the one that will be deterministically chosen) or 0 (for any other subset).

I'm not sure how to make all of these be consistent.

So, should I interpret a deterministic sample as a probability sample but not a random sample? And then what is the definition a random sample?

Or should I interpret this as technically a random sample but we don't want to consider it one because it is a special case?

Or maybe looking at this level of technicality is missing the point, and the point is to give the basic idea without getting bogged down on details or corner cases like this?

@a-adhikari