Historical considerations about the origin of the theory of probability. Probability space, elementary events. Statistical independence, Bayesâ€™ formula. Combinatorial analysis, elementary distributions (Bernoulli, Poisson,etc). Random variables, expectation and variance. Probability distribution and generating function. Covariance. Continuous random variables. Uniform and normal distributions. The law of large numbers. Markov chains and Markov processes. Diffusion processes and stochastic differential equations. THe generation of quasi-random sequences. Hints about quantum probability