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 Probability of All of a Set (Posted on 2003-03-13)
Prove that the probability of occurrence of all of a given set of events A(1) through A(n) is equal to the sum of the individual probabilities minus the sum of the probabilities of all pairs of events, A(i) OR A(j) plus the sum of all triples of events, A(i) OR A(j) OR A(k), ..., plus (-1)^(n-1) times the n-tuple A(i) OR ... OR A(n).

Prove for the specific cases of n = 3 and n = 10, and the general case.

 Subject Author Date re: Complete Solution Charlie 2003-03-17 17:25:47 Complete Solution Ravi Raja 2003-03-17 04:08:38 Explanation of a few terms Ravi Raja 2003-03-17 04:03:33 re(3): Done !!!! Charlie 2003-03-15 19:06:04 re(2): Done !!!! Gamer 2003-03-15 15:58:57 re: Done !!!! Charlie 2003-03-15 06:58:09 Done !!!! Ravi Raja 2003-03-15 03:21:55 Solution !!!! Ravi Raja 2003-03-15 03:18:34 Here I Am !!!! Ravi Raja 2003-03-15 03:15:14 Idea... Gamer 2003-03-15 03:05:06 No takers?.. levik 2003-03-14 13:37:35

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