Male, grey hair, green top: If you had a dice, an ordinary dice and you threw it, well the probability of getting a one would be six to one. Male, yellow and grey t-shirt: Like with a coin, flip it ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...

Exchangeability refers to the property of a sequence or collection of random variables whereby its joint probability distribution remains unchanged under any finite permutation of indices. This ...