Probability Basics #
- Adding and subtracting probabilities - Multiplying probabilities: random draws without replacement, conditional probabilities
Bayes’ Rule #
Bayes’ Rule is used to re-express conditional probabilities $P(A|B)$.
Random Variables #
Probability Spaces #
Probability spaces describe all of the possible values of a random variable, and how likely each of those outcomes are.
Two variables are equal if $X(\omega) = Y(\omega)$ for all $\omega \in \Omega$, where $\Omega$ is a probability space (all possible values).