Introduction -- An introduction to probability -- Probability distribution functions and some math basics -- Building a bell -- Random walks -- Life insurance -- The binomial theorem -- Pseudorandom numbers and Monte-Carlo simulations -- Some gambling games in detail -- Scheduling and waiting -- Combined and conditional probabilities -- Bayesian statistics -- Estimation problems -- Paradoxes -- Benford's law -- Networks, infectious diseases and chain letters -- Introduction to frequentist statistical inference -- Statistical mechanics and thermodynamics -- Chaos and quanta -- Appendix.