Question
Prove that if $E_{1}, E_{2}, \ldots, E_{n}$ are independent events, then$$P\left(E_{1} \cup E_{2} \cup \cdots \cup E_{n}\right)=1-\prod_{i=1}^{n}\left[1-P\left(E_{i}\right)\right]$$
Step 1
The probability of the complement of an event is $1 - P(E_i)$. Show more…
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