The First Year Probability lectures are for Oxford students of Mathematics, Computer Science and joint degree courses between Mathematics and Statistics and Mathematics and Philosophy. Lecture 1 (the first of six we are showing) takes the intuitive notion of randomness (and perceived randomness) in the real world and introduces mathematical models in which events that may be observed are captured as sets of possible outcomes to which we can assign probabilities. In situations where the number of possible outcomes is finite and all outcomes are equally likely, this naturally leads to counting problems. We introduce and use factorials and binomial coefficients to count numbers of distinct arrangements of a finite number of objects. General settings and formulas are illustrated by examples. You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists):    • Oxford Mathematics Student Lectures -...   All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.