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Precalculus Chapter 4 Part 3

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The complement of E is denoted byĒ (read "E bar")
Complement of an eventthe event of not getting odd number; The complement of event E is the set of outcomes in the sample space that are not included in the outcomes of event E.
The outcomes of an event and the outcomes of the complement make upthe entire sample space
Rule for Complementary EventsIf the probability of an event or the probability of its complement is known, then the other can be found by subtracting the probability from 1
Probabilities can be represented pictorally byVenn diagrams
Law of LargeWhen a probability experiment is repeated a large number of times, the relative frequency probability of an outcome will approach its theoretical probability
Empirical ProbabilityThe type of probability that uses frequency distributions based on observations to determine numerical probabilities of events
Subjective ProbabilityUses a probability value based on an educated guess or estimate, employing opinions and inexact information
Two events are ____ _____ if they cannot occur at the same time (i.e., they have no outcomes in common).mutually exclusive
Addition Rule 1When two events, A and B are mutually exclusive, the probability thta A or B will occur is P(A or B) = P(A) + P(B)
Addition Rule 2If A and B are not mutually exclusive, then P(A or B) =P(A) + P(B) - P(A and B)
When events are not mutually exclusive,addition Rule 2 can be used to find the probability of the events
The probability of two of more events can be determined bythe addition rules
The first addition rule is used whenthe events are mutually exclusive


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