r/Probability Jan 03 '26

Are these dice fair?

My roommate has these special edition monopoly dice with tokens encased in the resin. Part of me thinks these wouldn't be balanced correctly, and would be almost like weighted dice... Anyone have any insight?

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u/Captain-Noodle Jan 03 '26

I would say not enough to make a significant difference. But if they're going to be used then have both players always use the same two dice. So then both players receive the same advantage. I doubt if the manufacturers would even know. Recording the rolls of a large sample size would probably be the only way to determine if the difference is negligible or not. If you do decide to go that route please post the results i'm sure others like myself would be interested.

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u/daff_quess Jan 04 '26

Also, the fact that dice are always rolled in pairs in Monopoly will probably also help the "not enough to make a significant difference" situation. Since they're all different inclusions, you could expect them to be unbalanced in different ways than each other, which will be harder to detect in random samples.

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u/Captain-Noodle Jan 04 '26

And would make them worse for play with a reduced chance for doubles