The thread you linked to contains what I think is the most likely explanation: humans are not used to actual randomness. Back when I played MtG, people would regularly "shuffle" by separating out lands and non-lands, interleaving them, and then doing a few rounds of hand-shuffling. This is great if you're trying to avoid mana screw and your opponent doesn't mind this sort of visible cheating (or is doing it themselves), but it's not random, and it's not what one gets from a truly random shuffle.
"To generate the dice rolls, I have used Math.random, Random.org and other sources, but have always received numerous complaints that the dice are not random enough."
Math.random is an LCG and so therefore of dubious quality. Random.org, though, is a true RNG (not a PRNG). If random.org is not random enough, either they're doing something quite horribly wrong or (far more likely) players don't actually understand what random means.
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Canada isn't the US. Bible-thumping has little to do with the Conservative Party's policies here.
The thread you linked to contains what I think is the most likely explanation: humans are not used to actual randomness. Back when I played MtG, people would regularly "shuffle" by separating out lands and non-lands, interleaving them, and then doing a few rounds of hand-shuffling. This is great if you're trying to avoid mana screw and your opponent doesn't mind this sort of visible cheating (or is doing it themselves), but it's not random, and it's not what one gets from a truly random shuffle.
"To generate the dice rolls, I have used Math.random, Random.org and other sources, but have always received numerous complaints that the dice are not random enough." Math.random is an LCG and so therefore of dubious quality. Random.org, though, is a true RNG (not a PRNG). If random.org is not random enough, either they're doing something quite horribly wrong or (far more likely) players don't actually understand what random means.