DR & Sneak Attack

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Sneaky McRogue is attacking Vinny Vampire Spawn...

Sneaky surprises Vinny and sticks his short sword in Vinny's back (successful sneak attack)

Sneaky has a normal short sword and does 1d6+1 dmg. He also has 3d6 of sneak attack dmg. Vinny has DR 5/Silver.

Does Sneaky get to roll 4d6+1, subtract 5 for DR do X damage, or does he roll 1d6+1, subtract 5 for DR, and only if he actually does damage (ie if 1d6+1 > 5), get to roll and add his sneak attack damage?

[Lathiira]

4d6+1, then subtract 5. You've attacked once and hit, your damage is the sum of its parts, so you roll it all together, then apply it to the enemy's defenses (DR).

[Ravingdork]

Yep. Lathiira's right.