Let $S$ be the sample space of a random experiment and $P$ be a probability function defined on the power set of $S$. Two events $A$ and $B$ of the random experiment are called independent if
- A$P(A \cap B^C) = P(A) \cdot P(B)$
- B$P(A^C \cap B) = P(A) \cdot P(B)$
- C$P(A^C \cap B^C) = (1 - P(A))(1 - P(B))$
- D$P(A \cap B) = P(A) \cdot P(B^C)$
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