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chap10_2010 - Chapter 10 Probability Experiments Outcomes...

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Chapter 10 Probability
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Experiments, Outcomes, and Sample Space Outcomes: Possible results from experiments in a random phenomenon Sample Space: Collection of all possible outcomes S = {female, male} S = {head, tail} S = { 1, 2, 3, 4, 5, 6} Event: Any collection of outcomes Simple event: event involving only one outcome Compound event: event involving two or more outcomes
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Basic Properties of Probability Probability of an event always lies between 0 & 1 Sum of the probabilities of all outcomes in a sample space is always 1 Probability of a compound event is the sum of the probabilities of the outcomes that constitute the compound event 1 ) ( 0 E P 1 ) ( = E P
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Probability Equally Likely Events Probability as Relative Frequency Relative frequency <> Probability (Law of large numbers) Subjective Probability n E P i 1 ) ( = n f n occurs A times of No A P = = . ) (
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Combinatorial Probability Using combinatorics to calculate possible number of outcomes Fundamental Counting Principle (FCP): Multiply each category of choices by the number of choices Combinations: Selecting more than one item without replacement where order is not important Examples Lottery Dealing cards: 3 of a kind
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