There are $n$ people for each $i ϵ \{1,\ldots,n\}$. $A_i$ is the event that a person $i$ experiences. Suppose $P[ A_i ] = \frac1{2i+1}$ , $A_i$ and $A_j$ are independent whenever $i \neq j$ . what are the lower and higher bounds for $P[ A_1 \cup A_2 \cup A_3 ]$
2026-04-16 23:27:24.1776382044
Event and pairwise independence
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