I did once, during a long evening's game, get totally convinced that my dice were biased, so back home I rolled them a thousand times each, but found each number came up somewhere around 167 times each (D6 dice obviously, can't remember the exact numbers). So I thought that was that, my experience in the game had just been a fluke.
I want to get some new dice because my current shiny, sparkly ones are difficult to read under multiple LED lights (there have occasionally been disagreements about what's actually been rolled
). I know there are these "precision dice", but they cost an arm and a leg and I want about 15 of them, so I want to get ordinary retail ones. I was hunting around Board Game Geek for recommendations, but came across this scary analysis (tl;dr: dice rolled thousands of times, some numbers came up 29% or even 33% of the time 
).If I get a load of cheap, non-precision dice, what sort of statistical tests should I perform to satisfy myself they're fair?*
*Suddenly occurs to me this is probably covered in some Probability 101 course, but I'll ask anyway now I've typed all this up.
