## Probability: The Distribution Matters

Expected value only captures one aspect of a probability system.

Expected value only captures one aspect of a probability system.

Explaining an unexpected numerical pattern.

Using a game use-case to motivate and explain PIDs

Infinite systems don't have to worry about behavior at the edges but finite systems do.

How the value of π depends on the definition of distance.

An equivalence relation fully partitions a set.

Groups are a set with a binary operation that fits some requirements.