The Bayesian Probability: Basis and Particular Utility in AI

PROBABILITY was initially called and for a quite a long time the doctrine of chances and was the mathematical description of game of chance (dice, cards and so on) and used to describe and quantify randomness or aleatory of uncertainty. Statisticians use it to describe uncertainty. How can you use probability to describe learning? How can you use it to describe an accumulation of information overtime so yo can modify probability, based on additional knowledge? However, using Bayes theorem is a thing and being Bayesian is something else.