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April 18, 2014

April 18, 2014

Posted by **Lisa** on Monday, September 7, 2009 at 3:35pm.

If P(A)=2/11,P(B)=3/11,and P(C)=4/11, what can you say about P(A or B or C) when P(A and B and C) = 0?

- Geometry -
**MathMate**, Tuesday, September 8, 2009 at 12:17pmP(A∪B∪C) = P(A)+P(B)+P(C)

if and only if P(A∩B)=0 ∩ P(B∩C)=0 ∩ P(C∩A)=0

Therefore, when P(A∩B∩C)=0, we can conclude that:

P(A∪B∪C) ≤ P(A)+P(B)+P(C)

or

P(A∪B∪C)

= P(A)+P(B)+P(C) - (P(A∩B) + P(B∩C) + P(C∩A))

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