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Volume XI
Chutes and Ladders
By Emily Nielsen and Erik Herbrechtsmeier
Abstract:
Using the theorem of total probability, we calculate the expected
number of turns in a game of Chutes and Ladders.
Uno's Unlikely Combinations
By Kate Kropacek
Abstract: Through the use of the combination equation and Addition
Principle we intend to find the probabilities of different hands received from
an Uno deck.
The National Football League:
Clichés and 2001 Predictions
By Robert Wold
Abstract: In this paper we examine the statistics that the NFL
keeps track of for its teams and its player, and investigate the existence of a
correlation can be made between a small number of those statistics, and a team's
winning percentage.
What I did when I got bored in
Calculus: A simple magic trick involving mathematics
By Jeff Myers
Abstract: The design of a simple magic trick, that allows the magician to
select the same two cards that the participant had chosen earlier, by using
simple mathematical skills. In addition, I will design alternative endings to
this simple trick to allow greater complexity.
A Multivariate Statistical
Analysis of State Desirability
By Jennifer Everson (Carthage College), Melissa Hildt (College of Notre Dame of
Maryland), Jason Popovic (Baldwin-Wallace College), Sarah Zimmermann (Bemidji
State University)
Abstract: State desirability can be measured by a set of
several different variables. The multivariate statistical methods of
factor analysis and discriminant analysis lend themselves to this issue.
We used factor analysis to reduce a large number of variables to a smaller set
of common factors which describe state desirability. We then used
discriminant analysis to classify states according to their desirability level
based upon a set of measured variables.
How to Win by Losing: A
Closer Look at the game of Mediocrity
By Igor Crk
Abstract: With this project we have analyzed the game of Mediocrity. We
have shown that during a level 0 game of Mediocrity, the players enter one of
the four possible cycles of game-play. We have also shown that during the first
random pick of numbers the chances of entering any one of the cycles are
different, as are the chances of any one of the players winning while the game
is played within one of those cycles.
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