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S5.2 - The Addition Rule and Complements
The Addition Rule and Complements
8
Mathematics
Graduate
11/05/2013

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Term
Disjoint
Definition
When two events have no outcomes in common; mutually exclusive
Term
Venn diagrams
Definition
Pictures that represent events as circles enclosed in a rectangle
Term
Addition rule for disjoint events: If E and F are mutually exclusive events
Definition
P(E or F) = P(E) + P(F)
Term
Benford's law
Definition
The probability model that assigns probabilities of occurrence for each of the first digits
Term
Addition rule for events that are not disjoint
Definition
P(E or F) = N(E or F)/N(S)
Term
General addition rule for any two events E and F
Definition
P(E and F) = P(E) + P(F) - P(E and F)
Term
Complement rule
Definition
If E represents any event and E^c represents the complement of E, then P(E^c) = 1 - P(E)
Term
Complement
Definition
Any event E^c that is not an outcome E in the sample space S
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