Fair Dice

[krusader74]

There is a recent two-part YouTube video on Fair dice:

• Fair Dice (Part 1). Published on Sep 14, 2016. Probability expert Professor Persi Diaconis (Stanford University) talks about dice. (13:13)
• Fair Dice (Part 2). (8:12) discussing:
  
  • Dice control
  • Weldon's Dice, Automated
  • Problems with fair dice with an odd number of faces

The Diaconis/Keller paper referenced on fair dice is

Persi Diaconis; Joseph B. Keller. "Fair Dice". The American Mathematical Monthly, Vol. 96, No. 4. (Apr., 1989), pp. 337-339. statweb.stanford.edu/~cgates/PERSI/papers/fairdice.pdf

The dice rolling machine referenced is "Weldon's Dice, Automated" by Zacariah Labby. The videos is

www.youtube.com/watch?v=95EErdouO2w

The paper about it is

Z. E. Labby. "Weldon's Dice, Automated". CHANCE, vol 22, No. 4, p. 6-13 (2009). galton.uchicago.edu/about/docs/2009/2009_dice_zac_labby.pdf
A brief abstract for it:

In 1894, W.F.R. Weldon rolled a set of 12 dice 26,306 times. He collected the data to, in part, "to judge whether the differences between a series of group frequencies and a theoretical law, taken as a whole, were or were not more than might be attributed to the chance fluctuations of random sampling." Weldon's dice data were utilized by Karl Pearson in his pioneering paper on the chi-squared statistic. As a project for a History of Statistics course taught at the University of Chicago, I built this machine to roll the dice and automatically count the dots (pips) on each die. The resulting data allow me to repeat Weldon and Pearson's original investigations, as well as delve deeper into the analysis.