Solution to What is the complete proof for INCLUSION-EXCLUSION FORMULA and BOOLE'S INEQUALITY? Step by Step Solutions. … - Sikademy
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Archangel Macsika

What is the complete proof for INCLUSION-EXCLUSION FORMULA and BOOLE'S INEQUALITY? Step by Step Solutions. The BOOLE'S INEQUALITY that I meant was both: 𝑃(𝐴1 βˆͺ 𝐴2 βˆͺ … βˆͺ 𝐴𝑛 ) ≀ 𝑃(𝐴1 ) + 𝑃(𝐴2 ) + β‹― + 𝑃(𝐴𝑛) or 𝑃(⋃ 𝐴𝑖 𝑛 𝑖=1 ) ≀ βˆ‘ 𝑃(𝐴𝑖) 𝑛 𝑖=1 . 𝑃(𝐴1 βˆͺ 𝐴2 βˆͺ … βˆͺ 𝐴𝑛 ) β‰₯ 𝑃(𝐴1 ) + 𝑃(𝐴2 ) + β‹― + 𝑃(𝐴𝑛) or 𝑃(⋃ 𝐴𝑖 𝑛 𝑖=1 ) β‰₯ βˆ‘ 𝑃(𝐴𝑖) 𝑛 𝑖=1 .

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Question ID: mtid-5-stid-8-sqid-3309-qpid-2008