Assignment 1

# Assignment 1 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1306 INTRODUCTORY STATISTICS (SEMESTER 1 2008/2009) Assignment 1 Hand in solutions by 6th October, 2008 1. Counting the number of outcomes in games of chance has been a popular pastime for many centuries. This was of interest not only because of the gambling that was involved, but also because the outcomes of games of change were often interpreted as divine intent. Thus, it was just about a thousand years ago that a bishop in what is now Belgium determined that there are 56 di/erent ways in which three dice can fall provided one is interested only in the overall result and not in which die does what he assigned a virtue to each of these possibilities and each sinner and to concentrate for some time on the virtue that corresponds to his cast of dice. (a) Find the number of ways in which three dice can all come up with the same number of points. (b) Find the number of ways in which two of three dice can come up with the

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Assignment 1 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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