there is a pdf version of her article
thanks to Jo Morgan, my slides are available in a ppt version that can be found here
(download it for the animations)
maybe comparing the results for different number pairings (with 6 altogether)
an analysis of these results, for three of each, could involve a simple 'tree' diagram
from this diagram, are you more likely to obtain two of the same colour or two different colours?
what makes you say that?
certain to win if they are all the same colour...
a 4: 2 colour split is the fairest option
so, it seems, do other pairs of consecutive triangular numbers