Sunday, November 29, 2020

A Simple d6 System for Stat or Skill Checks

By Stephen Fabian

Jorune: Evolutions uses a stat and skill check system that is different than the mechanics used in combat. Since Jorune: Evolutions is OD&D inspired, the unified mechanic employs the 1dd6 that OD&D uses for most things.  Why did I come up with a new system that unifies skills and stat checks? 

  1. Skills just "feel right" with a science fiction roleplaying game. So I need skill checks.
  2. I thought a unified mechanic would be a good fit for a rules-lite game. Simple where possible is better here.
  3. I don't like very well the Hill Cantons stat checks that I'd been using in my games heretofore for math reasons I'll explain.
  4. The 1d6 system is a good fit mathematically with the constrained stat bonuses of OD&D prior to the unconscionably profligate stat bonuses of the Supplement I (Greyhawk). 
  5. 1d6 gets used for a lot of things in OD&D like hit dice and weapon damage, but also skill and stat check adjacent activities, such as accidentally triggering traps, searching for secret doors, opening stuck dungeon doors, and so on.  

General Philosophy of Stat and Skill Checks


In Jorune: Evolutions, stat and skill checks are informed gambles that players can take in high-stakes situations. 

  • They are only made where the result is in question, and where success or failure matters.
  • They are never made for trivial things, or where success (or failure) is a foregone conclusion, or is uninteresting. 
  • As an informed gamble, the player is always informed, in advance of the decision to roll, of the difficulty of the roll. 
  • As an informed gambel, the player is informed to the extent possible, of the results of a success and failure. Sometimes a failed check just means that one way forward is closed. But sometimes a failed check brings with it further danger or a worsening of the situation. 
  • Sometimes the Sholari (DM) will simply say, "Your character can't do this. It's not possible."
  • Stat and skill checks are not the motor of the game. You can easily go a session without a single stat or skill check.
  • It is often smarter to avoid a stat or skill check through roleplaying ("fictional positioning"). If you can get something free, there is no need to gamble for it.
  • There is no separate perception stat, because stat rolls are not the normal way that information becomes available to players. Players normally learn about the environment through the Sholari's descriptions and by asking the Sholari questions.   

There are two kinds of stat and skill checks in Jorune Evolutions. A roll can be opposed or unopposed. The Sholari will tell you which of these types the roll is, and what modifiers will apply, before you decide to roll the dice. 

  • Unopposed checks are tests against your PC’s skills or stats where what sets the level of difficulty are the circumstances of action, inanimate objects, or natural forces.
  • Opposed checks are tests against your PC's skills or stats where what sets the level of difficulty is the skill or stat of the sentient being you oppose.


Stat and Skill Modifiers


Stat and skill modifiers represent how good you are at the relevant task. For more on this check out my rules for character generation here and my skill rules here. For a reminder, stat modifiers work like this:

-1 Subpar
+0 Average
+1 Excellent
+2 Supreme (You can only reach these heights through big ticket sandbox advancement)

Skill modifiers work like this:

-1 Untrained
+0 Trained
+1 Skilled
+2 Master (You can only reach this extreme level of skill by training with a master in downtime)

Difficulty 


Generally speaking, the difficulty of the check tells you the number you must roll to succeed using 1d6 + your stat or skill modifier. 










      Unopposed Checks




To set the difficulty level for an opposed check, the Sholari looks at the circumstances of action and what is being attempted by the player, and assigns a difficulty level to it. The player then rolls 1d6 + skill or stat modifier, and must roll equal to or over the number set by that level of difficulty. 

Here is some guidance for the Sholari in assigning difficulty levels, which is more an art than a science. 

Easy: An average person can do something easy reliably. Even someone untrained or subpar can do easy things more often than not. 

Normal: An average person can do something of normal difficulty more often than not. For someone untrained or subpar, a task of normal difficulty is a toss-up. 

Challenging: For an average person, something is challenging is a toss-up. Someone untrained or subpar will fail at a task that is challenging more often than not.

Hard: An average person will tend to fail at a hard task more often than not. For someone skilled or excellent, a hard task is a toss-up.

Severe: Someone skilled or excellent will fail at a severely difficult task more than they will succeed. For a master or supremely talented person a severely difficult task is a toss-up. 

HeroicSomething is heroic if the average person can't do it at all. You have to be skilled or excellent even to have a prayer. Even masters or supremely talented people fail more often than not at heroic tasks. 
 
Epic: Something is epic if even a skilled or talented person can't do it at all. Only a master or legendarily talented person even has a prayer. This is the most difficult check possible.

If it helps to visualize it, here are the probabilities for someone with each stat or skill modifier to succeed at each category of difficulty:












Opposed Checks



When you are doing an opposed check, only the player character rolls. Jorune: Evolutions is a cooperative game so players do not normally oppose one another. However, in the rare event that two player characters are involved in an opposed check, the underdog makes the roll. 

The difficulty of the check is set by the stat or skill of the opponent. Consult this table to set the level of difficulty for the roll. Note that the numbers go above +2 because there are certain kinds of checks where modifiers from different stats or skills are added. The higher ranks can also represent super human levels of skill or power associated with alien beings or mechanical monstrosities. 













Optional Mixed Results Protocol


Except for the reaction roll, OD&D does not produce tension and drama through "mixed results" or "partial successes". Mostly this works fine, but there is something lost by being forced into a binary. 

Without modifying this system at all, the Sholari can sometimes build in "mixed results", by substituting a mixed result for a failure. For example, the Sholari might inform the player that a failed roll will involve success at the task but with a complication, e.g., "On a failure, you'll get the door off the hinges, but you won't do it quickly enough to avoid your pursuers." 

But here's a way to tweak the system to include fully mixed results mechanically in the system. 

Mixed Result Protocol: When you just hit the target number you need, the result is mixed or partial success. For example, if you are making a roll of challenging difficulty, you will get a partial success if your roll, after applying modifiers, is exactly 4. A 5+ counts as a full success. 

Remember, if you are employing mixed results, the Sholari should tell the player what effect a failure, success, and mixed result will produce before the decision to roll is made. 

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In the remainder of this post, I want to compare this method of stat and skill checks to some other popular methods you might be familiar with. Because this comparison is just math, it's going to be very dry. If that sounds terrible to you, stop reading now. 


Mathematical Comparison with the Hill Cantons Method


Hey, wait a minute, Jorune has these guys too

I have been using the Hill Cantons method of rolling stat checks for years. This involves rolling equal to or under your stat with a different number of d6 dice depending on difficulty. Normally the range is from 3d6 to 6d6. But to capture the same number of categories, you could theoretically extended it down to 2d6 and up to 8d6. The comparison of difficulty levels with Jorune: Evolutions would then look like this:
















I want to compare do a selective comparison with Jorune: Evolutions. In these comparisons, the stat listed is first the Hill Cantons numerical value and then the corresponding Jorune: Evolutions modifier. I've included a stat of 20 to capture the possibility of getting a +2 modifier in Jorune: Evolutions through big ticket advancement or downtime actions. I'll just compare the probability of making unopposed checks of normal to hard difficulty levels. 

Normal Difficulty (HC 3d6 vs. J:E 3+)

Challenging Difficulty (HC 4d6 vs. J:E 4+)


Hard (HC 5d6 vs. J:E 5+)



Severe (HC 6d6 vs. J:E 6+)
         



What this comparison show is that your ability score is incredibly important on the Hill Cantons ways of doing it. Someone with a stat of 3 will make the a normal level of check less than 1% of the time (!), whereas someone with a 18 will make it 100% of the time. That's basically a full 100% spread. Again for a challenging roll (4d6) the bottom is 0% and the top is 97%. This is a steep curve where your initial stat rolls are overwhelmingly important. (It flattens a bit when you get up to a severe challenge (6d6), where the spread drops to 45%.) 

The spread for Jorune: Evolutions is half that for the normal-hard range of difficulty, staying at a steady 50%. (If you drop the +2, the starting spread is only 33%.) Someone who rolls a 3 on their starting stat still has a 33% of doing something challenging and a 17% chance of doing something hard in Jorune: Evolutions. In keeping with OD&D de-emphasizing of the significance of starting stats, the Jorune: Evolutions way of doing is a much flatter curve, with a smaller spread between the top and the bottom

In an OD&D inspired game where I don't really want your stats to define you so strongly, I find this a better approach to stat and skill checks. The Hill Cantons method also disincentivizes savvy players with low stats from ever trying anything that uses that stat. This seems counter to the spirit of retro-game play. 

Mathematical Comparison with 5E




5E is harder to compare, because, like Mothership, it stacks skill and attribute modifiers, furthermore it does so in a way that's sensitive to level. It also tracks not only difficulty but situational advantage or disadvantage. But I'm going to try to compare anyway: keep in mind that the comparison has limited utility given how different the underlying systems are. 

I'll ignore advantage and disadvantage and put in parentheses the higher value for skill modifiers for characters 1-4. In 5E people's stats climb higher, and the greater difficulty levels are pegged to checks for dragons and demigods. So I'm going to handle this by equating the 5E difficulty categories in this way 5E "easy"= J:E "normal". Here as in the comparison with Hill Cantons, I'll just focus on the four difficulty categories of Normal, Challenging, Hard, and Severe.

Normal (5E DC 5 vs. J:E 3+)


Challenging (5E DC 10 vs. J:E 4+)














Hard (5E DC 15 vs. J:E 5+)


Severe (5E DC20 vs. J:E 6+)




The 5E checks are linear, but Jorune: Evolutions are chunkier. But there's almost the same spread between top and bottom in the lower difficulty levels, with 40% in 5E, and 50% for J:E. If you eliminate the big bump for +2 in J:E the two are almost the same. My hunch is that on balance 5E is probably not that different from Jorune:Evolutions, except there's a LOT more to track. Probably the biggest difference in play, besides the fiddly 5E book-keeping, is that in Jorune: Evolutions the Sholari will need to fold situational advantage into the initial difficulty modifier, whereas 5E has a separate mechanic for advantage and disadvantage. 

Another thing to note is that when we get into higher difficulty levels than I compared, 5E starts to get weird in the beginning stat range. That's because 5E has to make room for high-level characters with high proficiency bonuses and jacked out stats, and even worse, strength checks by ancient red dragons and intelligence checks by archdevils. So the upper levels of difficulty are out of reach for starting players. In Jorune: Evolutions, things are built on a more human scale.

Some Take Aways

One take away from these comparisons is that Jorune: Evolutions de-emphasizes the importance of starting stats. I like this because it fits the OD&D vibe, and also because it encourages all players to take chances, i.e. not to think, "My guy can't do that." Another take away is that looking at the comparison with 5E where I included a +2 modifier, we can see how powerful a +2 for a stat or skill will be in Jorune: Evolutions. At the hardest level of difficulty (Epic), someone who has mastered a skill or who has a superior stat will have a whopping 17% chance of success. This just shows that those should be very hard modifiers to attain in the game. Design your sandboxes and downtime rules accordingly! And as a DM be very careful about ever allowing modifiers to stack past +2: this can easily break the game. 







6 comments:

  1. Does this 1d6 version replace the "2d6 + modifier, 7+ succeeds" version that you've referenced in previous Jorune posts?

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    1. Yes, but it's funny you ask. I had this entire post written using a "2d6 + modifier 7 plus succeeds" version. But when I thought about it more, I thought that 1d6 was a better fit with the OD&D frame. In some ways I like the 2d6 math better, particularly when it comes to opposed checks, where even stacked modifiers don't break the system. But in other ways I like the OD&D math more--it's more straightforward and bears a clearer mathematical relation to the modifier. Also I think having a DC for difficulty is a little more intuitive (and dramatic) than having a penalty for a challenge rating with a fixed DC of 7. But I may very well go back to the 2d6 version when I put together my final rules for this. I'm highly uncertain on this point, which is better.

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    2. Do you have any thoughts about which is nicer?

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    3. Well I had been trying to come up with a way to adapt the Apocalypse World 2d6 roll to a D&D/adventure game system myself without much success, so on that level I was intrigued by your version, which I thought found a nice way of combining innate character ability + training with that 2d6 math (one of the challenges in the 2d6 roll being how modifiers are heavily but unevenly weighted and how few you have to work with before the math breaks).

      But I can see how a linear roll makes bonuses easier to work with, and I agree that "how hard is this" is probably easier and/or more intuitive to work out on the fly than "what are the penalties for failure / what counts as a success," which seems to be the soft way of scaling difficulty on a 2d6 roll.

      Without diving too deeply into the maths (which for me is a quick way to decision paralysis), and since both versions look very sound, I would say that 1d6 vs 2d6 is a question of tone. I think 1d6 feels lighter and chancier (the single die is physically lighter of course, but that straight up or down roll has a kind of "toss the dice and see what happens" vibe), while 2d6 has more of a feeling of calculated risk ("I'll probably get a 6 or a 7, so if I'm pretty good at this I will probably succeed most of the time"). I think that feeling comes across even when the odds of success are almost the same, just based on the physicality of throwing the dice and the process of totaling up the result, but I don't think that either one is necessarily better.

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    4. Tom, I agree with what you wrote here about the feel of rolling multiple dice, and I just posted a 2d6 skill version, which is what I'll be using going forward. What convinced me was that I couldn't make opposed rolls work with 1d6, since small advantages massively skewed the outcomes. I really want to use opposed rolls.

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  2. As a long time Traveller player, I quite like 2d6. However, yours is one of the few posts and analyses that has made me think a d6 system would be workable. Especially given the way my style of running games seems to have evolved. Thanks for the analysis and interested to see which way you go.

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