On Thursday, November 7, 2019 at 6:16:45 PM UTC-6, Brent wrote:
>
>
> A sample space implies statistics and a frequentist interpretation of 
> probability.
>
>
No.  


https://en.wikipedia.org/wiki/Probability_space

A probability space consists of three parts:

   1. 1. A *sample space* <https://en.wikipedia.org/wiki/Sample_space>, 
{\displaystyle 
   \Omega }[image: \Omega], which is the set of all possible outcomes.
   2. 
   3. 2. A set of events 
   <https://en.wikipedia.org/wiki/Event_(probability_theory)> {\displaystyle 
   {\mathcal {F}}}[image: {\mathcal {F}}], where each event is a set 
   containing zero or more outcomes 
   <https://en.wikipedia.org/wiki/Outcome_(probability)>.
   4. 
   5. 3. The assignment of probabilities 
   <https://en.wikipedia.org/wiki/Probability> to the events; that is, a 
   function {\displaystyle P}[image: P] from events to probabilities.


@philipthrift

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