Use mathematical induction to prove that if E1, E2,…,En is

Chapter 10, Problem 36E

(choose chapter or problem)

Use mathematical induction to prove that if \(E_{1}, E_{2}, \ldots, E_{n}\) is a sequence of \(n\) pairwise disjoint events in a sample space \(S\), where \(n\) is a positive integer, then \(p\left(\cup_{i=1}^{n} E_{i}\right)=\sum_{i=1}^{n} p\left(E_{i}\right)\)

Equation Transcription:

Text Transcription:

E_1,E_2,,E_n

S

n

p(cup_i=1^n  E_i=SUM_i=1^n pE_i

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