The precise origins of the little fellers who granted me such favour is unknown as many cultures independently created their own dice thousands of years ago and used them for a variety of purposes: dividing inheritances, choosing rulers and as a method of prediction. In ancient Roman religion it was believed that Zeus's daughter Fortuna was the controller of the dice - if that were the case, she clearly liked the way I did my hair on Friday morning.
The modern dice is a development from the use of fruit stones, sea shells and sheep ankle bones (the above picture is of children playing a game with sheep ankle bones) as providers of random progression in a game. Whilst I have often clutched dice in my sweaty paws (actually I generally demand that we use a plastic cup as a shaking implement), not everyone is a fan with some game-players scorning the random element dice bring to game, voicing the old English proverb: "The best throw of the dice is to throw them away", but I am a fan of cuboid chaps, especially when they contrive to bring me good fortune.
Don't you roll 2 dice for resource distribution in Settlers? I'm not sure why you needed single dice rolls of one...still your maths thus far is correct...
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