-----Original Message----- From: Dave [<a href="mailto://firstname.lastname@example.org]">mailto://email@example.com]</a> Sent: Thursday, October 28, 2004 6:32 PM To: for Teachers of AP Statistics Subject: [ap-stat] Re: Independent vs Mutually Exclusive
The equation P(A or B) = P(A) + P(B) - P(A and B) is always true. When A&B are mutually exclusive P(A and B) = 0, and when they are independent P(A and B) = P(A)*P(B).
If P(A)>0 and P(B)>0, then, yes, independence implies mutual exclusion.
On Thu, 28 Oct 2004 07:52:50 -0700, D. Mark Frankum wrote: >Am I to assume that if 2 events are independent that they canNOT be >mutually exclusive? > >A YMS question stated: >If P(A) = .24, P(B) = .52 and A and B are independent then find P(A or B). > >To solve, I had to use the extended additon rule: >P(A or B) = P(A) + P(B) - P(A and B) which is only used when events are not mutually exclusive.
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