Background Material
for
Advanced Evidence Course
Professor Peter Tillers
Cardozo School of Law
Probability Studies & Exercises for
Problems
such as
"Multiple
SIDS Deaths & Murder": Dice & Similar Devices
Illustrations of the Workings of the Basic Product Rule (assuming independence):1, 2, 6, or 9 dice; 1,10, 20, or 100 rollsAdding probabilities (dice examples):
two dice; results
1 or 2 dice thrown up to 500xfallacy of 100%Relative frequency = probability?:see left-hand side of chartStandard and non-standard dice:standard dice; charts illustrate distributions for different numbers of diceNon-standard non-Platonic solids but fair dice (isohedrons; symmetrical):
http://www.dice.co.uk/fs_edu.htmnon-standard but fairLoaded dice:
http://www.dice.co.uk/fs_other.htmHow fair are real fair dice?:
http://www.americanmusicscene.com/site/46828-loaded-dice.htmlCoincidence(?) (bridge hands):http://www.maa.org/features/mathchat/mathchat_9_7_00.htmlHypergeometric: lottery game:http://www.math.csusb.edu/faculty/stanton/probstat/lotto.html