D6(6)6 table | … D66 table with probability gradient

D6(6)6 Rules

  • Roll 3D6
  • Keep the highest & lowest rolls to make a D66 style dice
  • Order these two dice how you like; or if that bothers you (perhaps you worry about an unconscious bias), order the two dice low to high if the removed middle roll is odd, else the other way round


  • 6,5,1 becomes –> 1, 6
  • 2,5,2 becomes –> 5,2
  • 4,2,3 becomes –> 2,4

Link to diagrams and more explanation:


  • The diagonal ‘spine’ is disfavoured
  • The top right and bottom left directions are more favoured (so, a 1,6 or 6,1 roll is 15 times more likely than any double)
  • For probability, moving up/down gives the same result as moving right/left (so moving downward from 1,1 to 1,6 is the same as moving left to right from 1,1 to 6,1.
  • Moving diagonally does not change the % odds, so rolling a 1,1 is the same % as rolling a 2,2 or 3,3 etc.

With this probability structure understood, you can create D66 random tables that are less homogeneous.