Discrete Probability

Probability Basics #

http://prob140.org/textbook/content/Chapter_02/00_Calculating_Chances.html

• Adding and subtracting probabilities - Multiplying probabilities: random draws without replacement, conditional probabilities

Bayes’ Rule #

Bayes’ Rule is used to re-express conditional probabilities $P(A|B)$.

http://prob140.org/textbook/content/Chapter_02/05_Updating_Probabilities.html#bayes-rule

Random Variables #

Probability Spaces #

Probability spaces describe all of the possible values of a random variable, and how likely each of those outcomes are.

http://prob140.org/textbook/content/Chapter_02/00_Calculating_Chances.html

Equality #

Two variables are equal if $X(\omega) = Y(\omega)$ for all $\omega \in \Omega$, where $\Omega$ is a probability space (all possible values).

http://prob140.org/textbook/content/Chapter_03/03_Equality.html