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S5.3 - Independence and the Multiplication Rule
Independence and the Multiplication Rule
8
Mathematics
11/05/2013

Term
 Independent
Definition
 When the occurrence of event E in a probability experiment does not affect the probability of event F
Term
 Dependent
Definition
 When the occurrence of event E in a probability experiment affects the probability of event F
Term
 Multiplication rule for independent events
Definition
 P(E and F) = P(E) x P(F)
Term
 1. Rules of probability
Definition
 The probability of an event must be between 0 and 1
Term
 2. Rules of probability
Definition
 The sum of all probabilities of all outcomes must equal 1
Term
 3. Rules of probability
Definition
 If E and F are:Independent events, then P(E or F) = P(E) + P(F)Dependent events, then P(E or F) = P(E) + P(F) - P(E and F)
Term
 4. Rules of probability
Definition
 If E represents any event and E^c represents the complement of E, then P(E^c) = 1 - P(E)
Term
 5. Rules of probability
Definition
 If E and F are independent events, then P(E and F) = P(E) x P(F)
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