Let event E be independent of events F,F\cup G and F\cap G. Show that E is independent of G. 2. Let event E be independent of events F, FUG and FNG. Show that E is independent of G.
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This means that: $$P(E \cap F) = P(E)P(F)$$ $$P(E \cap (F \cup G)) = P(E)P(F \cup G)$$ $$P(E \cap (F \cap G)) = P(E)P(F \cap G)$$ Show more…
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