Claw/Claw/Bite (Pt. 2)

The other day I wondered aloud about rolling most claw/claw/bite attack routines as a single attack with combined damage. The example monster I used was the mountain lion, with 1d3/1d3/1d6 damage, and I suggested that maybe one attack for 2d6 damage could be substituted. Feedback has been thought-provoking.

One thing that I had initially considered and am now thinking about again is the use of 1d12 damage rather than 2d6.

As a quick experiment, I threw together a spreadsheet to simulate 1000 rounds of attacks by mountain lions against AC 5 targets, rolling damage for successful attacks for each of the three options (separate attacks, one attack for 2d6, one attack for 1d12). In order to keep things a little more even, I used the attack roll of the first claw attack as the attack roll for both of the combined attacks.

Here are the damage results for each of the three methods:

3.693 points of damage per round using standard claw/claw/bite
3.481 points of damage per round using one attack for 2d6
3.268 points of damage per round using one attack for 1d12

Refreshing the sheet obviously changes these values, but the 2d6 method is usually about 0.2 points per round behind the standard method and usually about 0.2 points ahead of the 1d12 method. It is extremely rare for the order to be different, though some times it is quite close between the methods.

Of course, there are not a lot of rounds with 0 damage using the three-attack method. With three opportunities to hit for damage every round, it’s likely that at least one will strike home and cause at least a little damage.

I’m not sure what, if anything, this really means. But it does seem to indicate that over the long haul the 2d6 method wouldn’t unbalance things.

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5 Responses to Claw/Claw/Bite (Pt. 2)

  1. Pingback: Claw/Claw/Bite « Lord Kilgore

  2. JB says:

    Um, statistically speaking, you may be a little bit off: you could model it mathematically like this.

    (%to hit x avg. claw dam) + (%to hit x avg. claw dam) + (%to hit x avg. bite dam)

    Combined damage 2d6
    (%to hit x avg dam on 2d6)

    Combined damage 1D12
    (%to hit x avg. dam on 1d12)

    Option #2 would on average score more than option #3 (because average damage for 2d6 is 7 and average damage for 1d12 is 6.5). Option #1 SHOULD score higher than either (I think…I haven’t done the math)…but not if you use the same to hit roll for ONE of the option #1s attacks as the to hit roll for the other options.

    HOWEVER, that being said, I think you’ve demonstrated that any effect is minimal…and as such, if combining damage into one roll speeds up your combat, go for it! You’re the DM after all…I’d suspect players would only complain if you tried to combine THEIR multiple attacks.

    : )

    • Kilgore says:

      What I did was make a spreadsheet which used random numbers to simulate d20 rolls for each of the three attack rolls, a d3 for each of the claws if that d20 roll indicated a hit, and a d6 for the bite if that was a hit. I then totaled the damage for the standard attacks. A to-hit of 11 or better is required to hit.

      I used a d6+d6 for the 2d6 option, and a d12 for that option, basing both of those attacks on the first claw roll. So if claw 1 hit, so did the 2d6 and the d12 method. If claw 1 missed, so did 2d6 and d12 methods. My reason for this was that I didn’t want one of the options to “roll good” or “roll bad” relative to the standard method for to-hit and throw things off a bit. I’m looking at replacing 3 to-hits with 1, so I took the first to-hit and pretended that it was the d20 roll either for the first claw or for the whole attack.

      I did this 1000 times and totaled the total damage for each method, then divided by 1000 to get the average points of damage per attack per method. It’s not a prediction of what should happen, it’s a report on what did happen. Every time I run it the totals are slightly different, but not by much.

      I expanded it to 10,000 attacks and here are the totals
      3.714 standard
      3.495 one attack for 2d6
      3.256 one attack for 1d12

      I did it again (10,000 more attacks) and here are those results:
      3.779 standard
      3.478 one attack for 2d6
      3.238 one attack for 1d12

      3.709 standard
      3.403 one attack for 2d6
      3.166 one attack for 1d12

      (I just showed multiple runs to demonstrate the typical variability.)

    • Kilgore says:

      Incidentally, the total on the 30,000 attacks I simulated show these gaps:

      2d6 method is 0.275 hit points per round behind standard

      1d12 method is 0.239 hit points per round behind 2d6 method and 0.514 hit points per round behind standard.

      This, of course, assumes that my spreadsheet formulas are correct (I’ve gone over them again to make sure I didn’t mis-think anything) and that Excel’s randbetween function is truly random.

  3. Zulgyan says:

    You don’t need YOUR mountain loin deal the same amount of damage in YOUR game when compared to the official mountain lion. Just have it your way!

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