Statistics: Probability (probability space, conditional probability and independence)

In this section, we cover the basics of probability theory. We can calculate probabilities even if we only care a little about this section. So, you can skip this section if you already know the basics of probability. Firstly, we define Ω as an abstract set containing all possible outcomes of a phenomenon. This space is sometimes denoted with S (the sample space). For example, you can imagine below cases: <img alt="" src="https://miro.medium.com/v2/resize:fit:700/1*I_4LXJ2SPq20fn8oifcq7A.png" style="height:418px; width:700px" /> The image from the author Any collection of outcomes is called an event. The elements of a collection of events are the events as well. It is inconvenient to write each element in detail every time, so we usually denote each event using the capital alphabet (A, B, C, etc.). <a href="https://medium.com/intuition/statistics-probability-probability-space-conditional-probability-and-independence-9d15b6c11a42">Visit Now</a>