This course has two modes: a high-school friendly one and a university one. Both are about the same idea: going through the discrete set up relatively fast (for slower pace please visit PA-4 course), and then moving to the continuous set up. The difference between the two modes is in overall difficulty of the problems and the amount of calculus you are expected to know.

In any case, it starts by fundamentally defining discrete probability set up: probability mass functions, conditional probability, random variables, and so on… Once this is done, we will start transitioning into world with continuous distributions. During this transition we will talk about paradoxes (and why they are not paradoxes), as well as an intuitive result with a scary name. Finally, we will properly define the continuous set up and solve enough exercises about various distributions & applications from it. Note that in any case, it is still required to know at least something about integrals to proceed with the second half of the course.

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