A concise visualization to describe probability triple (Ω, F, ℙ)
It has been a painful experience to learn from various textbooks that formulate "measure space", "probability measure", "probability triple" in length of unnecessary description, when it can be illustrated by a simple diagram. Some textbooks mislead with Ω as the set of all possible outcomes of ℙ, F which satisfies ϭ-field properties is. It also explains why we focus on this subset (F) as the sample space of the probability ℙ.
