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AP Statistics: Probability jh Flashcards

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13688395965Chance experimentAny process that generates observations whose outcomes cannot be predicted with certainty0
13688395966Sample spaceSet of all possible outcomes of a chance experiment1
13688395967EventAn outcome or set of outcomes of a chance experiment2
13688395968Simple eventAn event that consists of exactly one outcome3
13688395969ComplementAn event that contains the set or outcomes not included by a second event; probability(event) + probability(complement) = 14
13688395970IntersectionThe set of all elements that are common to 2 or more sets.5
13688395971UnionSet of all elements that are contained in 2 or more sets6
13688395972Venn DiagramA diagram that uses circles to display elements of different sets; overlapping circles show common elements7
13688395973DisjointTwo non-overlapping sets; aka mutually exclusive events8
13688395974Mutually exclusiveEvents that cannot happen at the same time9
13688395975Probability of an eventNumber of favorable outcomes divided by the total number of possible outcomes10
13688395976Law of large numbersAs the number of repetitions of a probability experiment increases, the empirical probability (the proportion with which a certain outcome is observed) gets closer to the theoretical probability of the outcome11
13688395977General Addition RuleFor any two events, A and B, the probability of A or B is the probability of A + probability of B - the joint probability of A and B12
13688395978General Multiplication RuleFor any two events, A and B, the probability of A and B is the probability of A times the probability of B occurring given that A has occurred13
13688395979Independent EventsTwo or more events for which the outcome of one event does not affect the probability of the other; P(A) = P(A | B)14
13688395980Dependent EventsTwo or more events in which the occurrence of one event affects the probability of the other events; do not always possess a cause-and-effect relationship15
13688395981Sampling without replacementRemoves each selected element from the population before the next selection is made to guarantee no element appears more than once in a single sample; probability of selecting any outcome changes after each selection16
13688395982Sampling with replacementOnce an element has been included in the sample, it is returned to the population and may be selected again; probability of selecting any outcome remains constant17
1368839598310% sampling conditionWhen sampling without replacement, the change in the probability of an outcome can be regarded as insignificant and thus ignored when sampling less than 10% of a population18
13688395984Conditional ProbabilityProbability of an event occurring given that another event is known to have occurred; denoted as P(A | B)19
13688395985Bayes' RuleDescribes the probability of an event, based on prior knowledge of conditions that might be related to the event; for example, the prevalence of a disease in a population should be used when interpreting the results of an initial screening test20
13688395986Empirical probabilityProbability that is based on simulation, experimentation or testing; the relative frequency of a successful outcome among those trials21
13688395987SimulationModeling a problem situation or event that would be too difficult or impractical to actually perform; often used to calculate empirical probabilities22
13688395988Table of Random DigitsLong string of digits (0 to 9) where the digits are independent of each other (knowing one digit does not give any knowledge to predicting another digit) and where any digit (0 to 9) has an equal chance of occurring as the next digit; used for probability simulations, random selection and random assignment23

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