For example, given the probability distribution between two similar weapons:

D&D 5E Weapons - Basic Rules pg.48:


Damage Discrete Distribution - AnyDice:


Its evident that Greatsword is more reliable and has a higher mean damage roll.

But how does this change if we factor in an attack roll with some chance to hit? Do critical hits make the Greataxe preferential?

  • 1
    \$\begingroup\$ Do you want to factor in chances to hit as well? Something like "If I have a 15% chance to hit (5% of which is the crit) which weapon should I use?" \$\endgroup\$ Mar 14, 2020 at 22:18
  • \$\begingroup\$ Yes, I leave it up to you to choose. \$\endgroup\$
    – H2Forge
    Mar 14, 2020 at 22:19
  • 2
    \$\begingroup\$ Very related: "Is Greatsword superior to Greataxe?" \$\endgroup\$ Mar 14, 2020 at 22:24
  • \$\begingroup\$ @Medix2 that answer is great, and addresses the critical hit portion of this one. Thanks for linking it! \$\endgroup\$ Mar 14, 2020 at 22:28
  • \$\begingroup\$ @Medix2 Yes it does. \$\endgroup\$
    – H2Forge
    Mar 14, 2020 at 22:34


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