Basic Concepts of Probability Theory - (2) Axiom of Probability $ 0 \leq P[A]$ $ P[S] \leq 1$ $ A \cap B = \emptyset \longrightarrow P[A \cup B] = P[A] + P[B] $ $ A_1, A_2, \: ... \: A_i \cap A_j = \emptyset \: \forall i \neq j \longrightarrow P[\cup_{i=1}^{\infty} A_i] = \sum_{i=1}^{\infty} P[A_i]$ Properties $P[A^c] = 1 - P[A]$ $P[A] \leq 1$ $P[\emptyset] = 0$ $P[A\cup B] = P[A]+P[B] - P[A \cap B]$ $P[A \cup B \cup C] = P[A] + P[B] + P.. 2020. 6. 23. 이전 1 다음