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# Star Library: Counting Eights: A First Activity in the Study and Interpretation of Probability

Students explore the definition and interpretations of the probability of an event by investigating the long run proportion of times a sum of 8 is obtained when two balanced dice are rolled repeatedly. Making use of hand calculations, computer simulations, and descriptive techniques, students encounter the laws of large numbers in a familiar setting. By working through the exercises, students will gain a deeper understanding of the qualitative and quantitative relationships between theoretical probability and long run relative frequency. Particularly, students investigate the proximity of the relative frequency of an event to its probability and conclude, from data, the order on which the dispersion of the relative frequency diminishes. Key words: probability, law of large numbers, simulation, estimation
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Date Of Record Creation 2005-05-12 12:14:00 2005-05-13 13:20:00 2005-05-12 12:29:00 hartlaub@kenyon.edu, jonesbd@kenyon.edu 2001 50-75 minutes Bradley A. Hartlaub and Brian D. Jones Kenyon College Minitab

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