## Answers

TOPIC:Proof of the Boole's inequality.

Prooblem- 2 events. A, A2, An be n det, have when, n=2 we By additive Laus (A)+P (A.) P < f (A) (A) + P P EP (A) P So, the statement io troue ton, n-2. et, the stamen stat ement io tnue We have, 4 PA: P

(mt we have, Now, P w v Amt P Additive Law + P P V P +P (Amet) As, hare P we A) NAmtt ()P (Am By Mt/ mt P r Ai we the Statement ip taue fon n m (m f). We have fraue don whan it io true ton that seen the dtatement is 1-2.

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Xevcy by matieal induciony the stat ement in toue, don all, n-2,3,1,- the method mathe- conclude that we can (PROves

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