Use the axioms for probability and mathematical induction to prove that for all integers
Chapter 9, Problem 13(choose chapter or problem)
Use the axioms for probability and mathematical induction to prove that for all integers n ≥ 2, if \(A_{1}, A_{2}, A_{3}, . . . \), An are any mutually disjoint events in a sample space S, then
\(P\left(A_{1} \cup A_{2} \cup A_{3} \cup \cdots \cup A_{n}\right)=\sum_{k=1}^{n} P\left(A_{k}\right)\).
Text Transcription:
P(A_1 cup A_2 cup A_3 cup cdots cup A_n) = sum_k=1^n P(A_k)
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