In probability theory we speak of events having
... If two (or more) ***incompatible events*** are occurring, the probability
http://www.gmatclub.com/content/courses/quantitative/probabi...

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Note added at 12 mins (2005-07-03 00:06:43 GMT)
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Basic knowledge of probability: basic knowledge of event. Sure and impossible event.Compatible and ***incompatible events***

http://72.14.207.104/search?q=cache:JBsHR29AknIJ:www.stat.au...
ic5l.pdf+probability+theory+incompatible+event&hl=en

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Mutually Exclusive Events*

Two events are ***mutually exclusive*** if their intersection is empty.
Two events, A and B, are ***mutually exclusive*** if and only if P(AB) = 0
* The book also uses the term ****incompatible events****
http://www.stat.psu.edu/~resources/ClassNotes/hrm_06/tsld015...

***Addition Principle
Mutually Exclusive Events****************
If E and F are mutually exclusive events, then

P(E F) = P(E) + P(F).
This holds true also for more events: If E1, E2, . . . , En are mutually exclusive events (that is, the intersection of any pair of them is empty) and E is the union of E1, E2, . . . , En, then
P(E) = P(E1) + P(E2) + . . . + P(En).
General Addition Principle
If E and F are any two events, then

P(E F) = P(E) + P(F) - P(E F).

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Conditional Probability
If E and F are two events, then the ****conditional probability***, P(E|F), is the probability that E occurs, given that F occurs, and is defined by

P(E|F) = P(E F)

P(F) .

We can rewrite this formula in a form known as the ***multiplication principle***:

P(E F) = P(F)P(E|F).


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Note added at 35 mins (2005-07-03 00:30:00 GMT)
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http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/Sum...

Din cite inteleg:

MUTUALLY EXCLUSIVE sau INCOMPATIBLE EVENTS

in context:
1. Regula adunarii probabilitatilor evenimentelor incompatibile.
Addition Principle
Mutually Exclusive Events

3. Teorema inmultirii probabilitatilor evenimentelor dependente si independente.
Two events are said to be independent if the occurrence of one has no effect on the probability of the occurrence of the other. More specifically, if A and B are independent events, then P(A and B) = P(A)P(B).
http://www.stat.wvu.edu/SRS/Modules/ProbLaw/AndProb.html

- este
Conditional probability - notation, multiplication law, dependent and independent events
http://www.teachers.ash.org.au/mikemath/probcondnot/

- The multiplication law has a special form for independent events.

http://www.teachers.ash.org.au/mikemath/probcondnot/


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Note added at 44 mins (2005-07-03 00:39:39 GMT)
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***Independent Events***
Def: Two events A, B are independent if and only if P(AB) = P(A) P(B).
called the ***Multiplication Rule for Independent Events ***
http://edge.mcs.drexel.edu/GICL/people/sevy/courses/probstat...

**Conditional Probability**
Def: If A & B are events, then P(A|B) denotes the conditional probability of A, given B.
measures probability that A has occurred, given that we know B has occurred
http://edge.mcs.drexel.edu/GICL/people/sevy/courses/probstat...

4.teorema adunarii probabilitatilor evenimentelor compatibile

Compatible vs. Incompatible (Mutually exclusive) Events
Sometimes you have to distinguish compatible and mutually exclusive events. Mutually exclusive are those events that can\'t happen together. Heads and tails are mutually exclusive events. Formally, two events are mutually exclusive if p(A and B) = 0. Otherwise, they are compatible. Note that mutually exclusive events are independent. (!)
http://www.gmatclub.com/content/courses/quantitative/probabi...