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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)P(A|B)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(ω)=Y(ω)X(\omega) = Y(\omega)X(ω)=Y(ω)
 for all ω∈Ω\omega \in \Omegaω∈Ω
, where Ω\OmegaΩ
 is a probability space (all possible values).
http://prob140.org/textbook/content/Chapter_03/03_Equality.html

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