Not sure if this is a valid "tools" question, but here goes: I want to compare a build that can attack 5 times, with a 5% critical chance; to a build that can attack 3 times, but with a 15% critical chance. How can I do this in anydice? Assume each attack in the first case is 1d6 + 5, and 2d6 + 5 in the second case.

  • 1
    \$\begingroup\$ Sorry, that was my bad. Without the effect of a critical in the question the dnd-5e tag is still required. \$\endgroup\$
    – Miniman
    Commented Oct 30, 2014 at 23:59
  • \$\begingroup\$ There's no way to really compare the two without assuming to-hit numbers. E.g. if only natural 20 hits the former deals 67% more damage on average, while if 18 and up hit (and nothing else) it only deals 10% more. \$\endgroup\$
    – Hassassin
    Commented Oct 31, 2014 at 19:05
  • \$\begingroup\$ @Hassassin While you're technically right, that's an extreme case--one that doesn't even exist. A Tarrasque, designed for a Level 30 party, has an AC of 25... so, any L20 char that maxed their main stat and uses a non-magical weapon with proficiency will hit on a 14 or more. \$\endgroup\$
    – Khashir
    Commented Oct 31, 2014 at 22:39
  • \$\begingroup\$ @Khashir, my point is that the relative damage output depends on the hit chance. Those were just two numbers I could calculate in my head. Real probability graphs look something like this (based on Miniman's answer). \$\endgroup\$
    – Hassassin
    Commented Nov 1, 2014 at 11:45
  • \$\begingroup\$ @Hassassin: Fair enough, it's an interesting refinement, thank you. It seems like it doesn't affect the answer except when PC's have to roll >14 (which, right now, is a non-issue, per my comment above). But it's still good to keep in mind. \$\endgroup\$
    – Khashir
    Commented Nov 1, 2014 at 13:38

1 Answer 1


This was my first try at using anydice.

The results for the first build are here: http://anydice.com/program/4a60

The results for the second build are here: http://anydice.com/program/4a62

The comparison between the two is here: http://anydice.com/program/4a63

I'll include the comparison graph for the sake of having something other than a link in this answer:

comparison graph

(For those who don't want to zoom in, the black line is the first build, and the orange one is the second.)

  • \$\begingroup\$ You are assuming anything that isn't critical hit deals normal damage. At least a natural 1 will deal none, probably other low numbers. \$\endgroup\$
    – Hassassin
    Commented Oct 31, 2014 at 19:15
  • 6
    \$\begingroup\$ The question doesn't take into account the possibility of missing, so neither did I. \$\endgroup\$
    – Miniman
    Commented Oct 31, 2014 at 23:05

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