A friend once told me that even ignoring the size of the scoops, a "spindown" D20 (Where neighboring faces are numbered sequentially, for easy look-ups.) produces different odds than a normal D20, which has more varied neighboring faces. Is this true?

  • $\begingroup$ did he make an argument to support this contention? $\endgroup$ – Glen_b Feb 20 '14 at 20:18
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    $\begingroup$ This question appears to be about the physics of die throwing rather than about statistics or machine learning. $\endgroup$ – whuber Feb 20 '14 at 20:48
  • $\begingroup$ He only said it was better for neighboring faces to not be close in value, but didn't mention cheating. $\endgroup$ – Cees Timmerman Feb 21 '14 at 10:34
  • $\begingroup$ @whuber Note the "per se" and "ignoring the scoops" part. $\endgroup$ – Cees Timmerman Feb 21 '14 at 10:50

In theory: No; each side of a perfect n-sided die has a 1 in n chance of appearing.

In the real world: Yes; die shapes are imperfect, often favoring opposing sides, hence the tradition of making sure opposing sides are equal on average. As explained in this answer. Having all high numbers on one side also makes it more easy to fake fair rolls, like merely spinning or skittering the die.

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