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  • \$\begingroup\$ I think this formula is a bit off. It's using the 3..6 4 times (:4) effectively creating 16 faces marked 3-6 instead of 8 faces. Not quite the exact same example, but here is some stats with various re-rolls anydice.com/program/18106 So the re-roll once equation should be one of these output [highest 3 of 4d{{3..6}:2, {1..2}}] OR output [highest 3 of 4d{{3..6}, {1..6}}] \$\endgroup\$ Commented Oct 11, 2019 at 19:23
  • \$\begingroup\$ @Snekse The 8 faces of 3-6 are 8 faces each: 32 altogether. Divide by 2 gives 16. The formula is correct. \$\endgroup\$ Commented Aug 23, 2023 at 3:24