Those outcomes that are unpredictable in the short term, but nevertheless, have a long-term pattern.
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experiment
an act or process of observation with uncertain results that can be repeated
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Law of Large Numbers
the larger the number of individuals that are randomly drawn from a population, the more representative the resulting group will be of the entire population
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independent
trials of a random experiment are ____ if the outcome of any one trial is not effected by the outcome of any other trial
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probability model
a list of all the possible outcomes and a probability for each outcome
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sample space
the set of all possible outcomes of a probability experiment (S)
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tree diagram
A diagram used to show the total number of possible outcomes
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multiplication rule of counting
states that the total number of outcomes for a probability experiment will be the product of the number of outcomes for each individual task in the experiment
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with replacement
put the selected object back into the collection before drawing the next
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without replacement
put the selected object aside before drawing the next
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permutation
a collection of r objects chosen from n different objects when the order of selection is important and selection is done *without* replacement
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permutations rule
Used when selecting a smaller group from a larger group and you put them in a specific order. *ORDER IS IMPORTANT nPr= n! (n-r)! n=sample size, r=smaller objects selecting On calculator: enter amount(n), math, PRB, 2, enter amount(r), enter
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1
0!
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combinations
order does not matter, selection is without replacement
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event
any collection of outcomes from a probability experiment