Probability Rules

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Statistics

Probability

AP Statistics

Unit 4: Probability, Random Variables, and Probability Distributions

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10 Terms

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Law of Large Numbers

The more trials we observe of any random process, the proportion of times that a specific outcome occurs approaches its probability

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Complement Rule

P(A) = 1 - P(Ac)

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Mutually Exclusive Events

P(A∩B) = 0

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Addition Rule for Mutually Exclusive Events

P(AUB) = P(A) + P(B)

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General Addition Rule

P(AUB) = P(A) + P(B) - P(A∩B)

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Conditional Rule

P(A|B) = P(A∩B)/P(B)

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Independent Events

P(A|B) = P(A|Bc) = P(A)

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Never

Mutually exclusive events can ? be independent

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General Multiplication Rule

P(A∩B) = P(A) x P(B|A)

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Multiplication Rule for Independent Events

P(A∩B) = P(A) x P(B)