Question: Formally prove the union bound which states that for any events,A1, A2...A3, ( not necessarily mutually exclusive), Pr(A;) Pr U) Pr(A.) i=1 i=1

Formally prove the union bound which states that for any events,A1, A2...A3, ( not necessarily mutually exclusive),

Pr(A;) Pr U) Σ Pr(A.) i=1 i=1

Pr(A;) Pr U) Pr(A.) i=1 i=1

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