Introduction to Probability Theory
نویسنده
چکیده
In probability theory, we are given a set Ω of outcomes ω, and try to consider the probabilities of subsets A ⊂ Ω, which we call events. To this end, we define a probability measure Pr(·) or μ(·) (we will use each notation interchangably) that is a function from these sets A ⊂ Ω → [0, 1]. As a technical complicate, μ or Pr may only be defined on some of the subsets of Ω, but this will be adressed a bit later on. Intuitively, Pr(A) is the probability that the event A will happen. It makes sense then to come up with the following rules about Pr(·).
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