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 ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...

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 ...

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, ...

U.S. students’ math performance dropped significantly during the pandemic and has yet to recover. But students at all levels of K-12 schooling have been struggling with geometry and statistics ...