Kategorie:Additionstheorem

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Additionstheorem für Wahrscheinlichkeiten[edit]

In jedem Wahrscheinlichkeitsraum (M, \mathfrak{E}, W) gilt für Ereignisse A, B, A_k \in \mathfrak{E}

  1. W(A \cup B) = W(A) + W(B) - W(A \cap B)
  2. W \left ( \cup^n_{k=1} A_k \right ) = \sum^n_{m=1} \sum_{\{i_1, \ldots, i_m\} \subseteq \{1, \ldots, n\}} (-1)^{m-1} W(A_{i_1} \cap \cdots \cap A_{i_m} )

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