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I'm semi-converting an old adventure from DnD 3.X to d6 Fantasy, but I'm having trouble getting a roll conversion that I am happy with. The adventure calls for an extended test of d20 +X rolls until the party reaches a certain total.

What would be the most faithful ( i.e. with a similar amount dice rolling, randomness and probability ) way to reproduce this in a d6 game?

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which d6 game? Can you describe the "skill challenge ala 3.0 better?" –  Brian Ballsun-Stanton Aug 24 '13 at 3:46
    
@BrianBallsun-Stanton D6 Fantasy, specifically. I can't really... I thought I have a copy of the adventure lying around, but I have not been able to turn it up. I have a bot searching my computer for it (maybe I digitized it?), but so far no luck. If I find it, I'll edit the question with more detail, but for now assume that's as good as I can do. –  Phill.Zitt Aug 24 '13 at 3:51
    
If that's the best you can do, might as well go ahead and remove the question -- there's not enough detail here to provide an actual answer! Without knowing what the original test actually was, how on earth do you think someone could provide a conversion? –  starwed Aug 24 '13 at 4:17
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@starwed I'm unsure what additional information you'd require; he's asking for tools and strategies to convert from 1d20+mod to a d6 System mechanic. The exact context isn't needed, since he's not asking us to do it for him. –  BESW Aug 24 '13 at 4:39
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@BESW an extended challenge will have a different probability curve than a single d20 roll. To convert, as requested, "with a similar amount dice rolling, randomness and probability" -- that would absolutely require knowing the original challenge. –  starwed Aug 24 '13 at 17:51
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4 Answers

up vote 7 down vote accepted

The usual way of doing a conversion between systems is to not try to reproduce the mechanics, but to look at what the mechanics are trying to accomplish or model and then figure out the "native" way in the new system for how that would be done.

Since you're using D6 Fantasy, you're presumably using D6 Fantasy's combat system instead of trying to emulate d20's BAB system and armour classes – in the same way, make up a rule that "feels D6-ish" to handle this adventure mechanic. That's all the original authors did, after all.

But even given that, it's not hard to convert the mechanic fairly faithfully because you're not trying to convert a single roll, you're trying to convert a series of rolls and the probabilities involved there make the conversion easy.

Consider that an accumulated total is actually going to be a bit of a bell curve regardless of how you roll the individual checks, because the average of a d20 roll is 10.5 and after a few rolls in the series, the total will be likely close to 10.5 times the number of rolls, because the addition of multiple rolls smooths out probabilities. Because of that, you can use 3d6 to generate 3–18 (average 10.5) and your accumulating average will end up being very similar after enough summed rolls.

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Just be aware that the variance of a d20 vs 3d6 is different. (i.e. d20 +2 is a boost of a flat 10% vs 3d6+2 where the +2 increases your changes by +25% if you need a 12+ but only +4% if you need an 18). This radically changes the concept of a +X to the rolls. –  Nat Aug 27 '13 at 1:09
    
@Nat Yes, but the D6 system's rolling method and bonus scale will take care of that. Just don't use d20 bonuses on the D6 system rolls! Besides, even that may not be a problem, since they're accumulating the results. –  SevenSidedDie Aug 27 '13 at 1:22
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Looking at D6 Probabilities with the Wild Die,

If you're going to be purely technical about it, it's trivial to figure out the odds of success on a skill check in D&D assuming a set of characters with skills:

1-(difficulty-bonus-1)/20

Therefore, assuming DC 10, and a bonus of 4, the above returns .75. For a strict translation, therefore, figure out the odds of success for every roll you desire, and simply compare to the chart at the bottom of this page, as a function of how many d6 you anticipate your players will roll.

I, however, would recommend against a literal translation, and instead adapt the mechanics from mouseguard for how challenges work, insofar as every roll matters and failures advance the plot but provide complications. The mouseguard system has already been hacked by the Chatty DM In: Mouseburning it. He notes:

  • A task's outcome must be uncertain.
  • The task must have significant stakes.
  • Don't waste time on tasks and types of activity that have already been resolved (See: let it ride, scene economy).
  • Only one Lead, but many helpers (and all share in the stakes)
  • Everyone puts their cards on the table, and explains the difficulty and stakes.
  • Failure must be interesting and awesome.
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It's a good answer (esp. that formula, ta kindly), but not a strictly helpful one. I've already adapted the other 'mechanics' of the encounter, but wanted to make sure that I hadn't messed up my probabilities - the encounter is (in my version) timed. Additionally, I never did find the adventure. If I ever do, I'll make sure to come back and post it for you! –  Phill.Zitt Aug 25 '13 at 19:27
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The short answer is you cannot really convert from a d20-based ruleset to a d6-system-based ruleset because the probability distributions are fundamentally different: d20 is flat while d6-system is bell-shaped. A +2 bonus in DnD always increases your chances of success in 10%, while in d6 Fantasy it could be more or less than 10% depending on how many dice you are rolling and the difficulty of the roll. Even if you try to adjust the probability of a naked roll to be the same, all the different bonuses that can be applied in every situation (magic, cover, etc) will modify your probabilities to make them different from what they would have been in DnD.

That said, there is one basic idea that d6-system games and d20-system games have in common: they are task-based (instead of goal-based) and tasks are resolved by rolling higher than a difficulty. That makes the conversion of things like skill challenges easier.

A skill challenge where the characters have to succeed a number of times on different rolls (e.g. 8 out of 10 skill checks) can be done exactly the same in d6-fantasy. You will roll more dice (to climb to that difficult window (DC25) the great rogue will roll 8D instead of d20+14) and the probability distribution will be really different, but the basic feeling or progress-or-failure will be the same. A skill challenge where the characters need to add their rolls towards a total can also be done exactly the same: players roll and then add their totals until they achieve the goal. They will roll many more dice, but people who like d6-system like to roll many dice. ;-)

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You can still convert stuff with a direct success/fail template by assuming that you want equitable success/failure; simply ignoring degrees of success or failure as they exist in either system (IIRC they don't) would be sufficient to create the same result, so long as you're clever and willing to accept some small degrees of inaccuracy and assume certain things about a character. A character who is barely better than average (+3) in d20 will roll an 18 or above about 25% of the time, which is about how often a character with 3 dice in D6 would roll a 13 or higher. –  Kyle Willey Aug 25 '13 at 3:19
    
For a given pair character-task you can, but you cannot set a difficulties for tasks (e.g. climb the tower, open the lock, lift open the portcullis, notice that someone is hiding in the shadows) that will give the same chances of success to all characters in both systems. –  sergut Aug 26 '13 at 8:51
    
That is true, but it is part of the point of having a GM. –  Kyle Willey Aug 26 '13 at 14:11
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You can actually convert between 3d6 and 1d20. The statistically 'faithful' way to do that is by utilizing their Standard Deviation.

https://docs.google.com/spreadsheet/ccc?key=0ApXuXKLH_iDDdGJFcDJudE56VEtMWHpxclRBTkhUVHc&usp=drive_web#gid=0

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