CS70 Guide
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Discrete Probability

Probability Basics

Bayes' Rule

Bayes' Rule is used to re-express conditional probabilities
P(AB)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.

Equality

Two variables are equal if
X(ω)=Y(ω)X(\omega) = Y(\omega)
for all
ωΩ\omega \in \Omega
, where
Ω\Omega
is a probability space (all possible values).
http://prob140.org/textbook/content/Chapter_03/03_Equality.html