The rules:

**Complement:** P(not A) = 1 - P(A) - **Addition (OR):** P(A or B) = P(A) + P(B) - P(A and B) - **Multiplication (AND, independent):** P(A and B) = P(A) * P(B) - **Conditional:** P(A|B) = P(A and B) / P(B)