Show that for any events in a finite probability space, we have

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- April 5th 2010, 05:44 PMqweslProbability question
Show that for any events in a finite probability space, we have

- April 5th 2010, 05:51 PMAnonymous1
Have you ever heard of Boole's inequality?

http://www.andrew.cmu.edu/course/21-228/lec7.pdf - April 5th 2010, 06:00 PMDrexel28
I really know nothing about probability and so this is more of a question then an answer. Doesn't this follow since the probability measure is by definition countably additive?

- April 5th 2010, 06:03 PMqwesl
Yes but how is this done using only the following axioms (first principles)

1)

2)

3) for disjoint sets - April 5th 2010, 06:12 PMAnonymous1
Use google, proofs this common are usually all over the internet.

http://www.math.ntu.edu.tw/~hchen/te...s/lecture2.pdf

If you don't like that one there are several others...

Yes, I've seen a proof using this argument, wikipedias in fact. - April 5th 2010, 06:19 PMDrexel28