Here are the course lecture notes for the course MAS108, Probability I, at Queen Mary, University of London, taken by most Mathematics students and some others in the first semester.

In this chapter, we lay the foundations of probability calculus, and establish the main techniques for practical calculations with probabilities. The mathematical theory of probability is based on axioms, …

Experimental probability is the probability of an event based on actual experiments or observations. It is calculated by dividing the number of times the event occurs by the total number of trials performed. …

This section provides the lecture notes for each session of the course.

In Probability Theory, a probability P(A) is assigned to every subset A of the sam-ple space S of an experiment (i.e. to every event). The number P(A) is a measure of how likely the event A is to occur …

This set of notes is intended as a brief refresher on probability. As a student reading these notes you will likely have seen (in other classes) most or all of the ideas discussed below.

This lecture notes document covers fundamental concepts in probability, including definitions, axioms, random variables, distributions, and key theorems. It provides insights into conditional probability, …