(New page: 1) To prove P(E U F) >= 0.8, first express E U F as the union of 2 disjoint events (hint: consider set difference between F and E). Then use theorem 1 from page 404. 2) To prove P(EF) >= 0...) |
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− | 1) To prove P(E U F) >= 0.8, first express E U F as the union of 2 disjoint events (hint: consider set difference between F and E). Then use theorem 1 from page 404. | + | 1) To prove P(E U F) >= 0.8, first express E U F as the union of 2 disjoint events (hint: consider set difference between F and E). Then use theorem 1 from page 404.<br> |
2) To prove P(EF) >= 0.4, use inclusion-exclusion principle, then use the fact that P(E U F) <= 1. | 2) To prove P(EF) >= 0.4, use inclusion-exclusion principle, then use the fact that P(E U F) <= 1. | ||
--[[User:Asuleime|Asuleime]] 02:17, 9 October 2008 (UTC) | --[[User:Asuleime|Asuleime]] 02:17, 9 October 2008 (UTC) |
Revision as of 21:17, 8 October 2008
1) To prove P(E U F) >= 0.8, first express E U F as the union of 2 disjoint events (hint: consider set difference between F and E). Then use theorem 1 from page 404.
2) To prove P(EF) >= 0.4, use inclusion-exclusion principle, then use the fact that P(E U F) <= 1.
--Asuleime 02:17, 9 October 2008 (UTC)