L'algèbre linéaire au coeur des probabilités discrètes

This work shows that most of the mathematical formulas used in discrete probability have their counterpart in linear algebra, whether with the most elementary formulas or up to the Bayes formula and the recent deconditioning formula (Bruxelles 2012). Moving forward, we go so far as to also establish links with projective geometry, to encompass in the same perspective, the notions of counting, statistics and probability.