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Complement
Use it for “at least one” P(not A) = 1 - P(A)
Addition Rule, subtracts the overlap
P(A or B) = P(A) + P(B) - P(A and B)
Addition Rule, disjoint
P(A or B) = P(A) + P(B)
Multiplication Rule, A and B are independent
P (A and B) = P(A) * P(B)
Conditional Probability
P (A if B) = P(A and B)/P(B)
Multiplication Rule, not independent
P (A and B) = P(A) P(B if A)
Law of Total Probability
P(B) = P(B if A) P(A) + P(B if A2) P (A2) + …. Adds up the branches of the tree
Bayes’ Rule
P (A if B) = P(B if A) P(A) / P(B)