[X] My Assistant

[Kagetenshi]

Transitive relations may lie to you, and the power set of multisets may deceive you, but the probability mass function is always faithful.

(Guess what I've been doing for the last sixteen hours solid!)

~J

[ShadowDragon8685]

Something from which you ought to have a long break?

[Kagetenshi]

I had about an hour-long nap before the combinatorics started again, does that count?

~{J : J ∈ {dead_people}}

[Moon-Hawk]

My solution was always to not care. It worked well. :D

[BookWyrm]

Math make head hurt.

[Karaden]

You know, there really -isn't- a solution to the 6=7 'problem' that doesn't involve affecting the difficulty of other TNs in some manner one way or the other, just accept it as a limitation on the very nature of using dice to make random numbers. The one solution out there would be to figure out the exact % chance of getting any particular number and having a computer generate a random number. Then you would tweek the TNs of 7, 13, 19 and the others to be a % somewhere inbetween 6 and 8. (well, 13 between 12 and 14 etc. of course.)

Actually I take back my first statement, there is a solution, and that is when you get a six, then a one, you reroll the one with needing a 4, 5, or 6. But this is just more dice rolling, does the game really need that?

[Narse]

[Kagetenshi]

I'm too tired to be sure, but I think your suggestion is just a slightly obfuscated version of reroll-6, add-5.

~J

[Fuchs]

[Critias]

Ditto. I always liked 6=7, in fact, because it gave you a little more incentive to try and work your combat options (using cover, take aim actions, stacking the right bonuses and stuff) in order to hit that "sweet spot."

[Daddy's Litt...]

I think you are over thinking it.

As I understand it a 7 is not 'useless' because of maybe modifiers. for example sure a '7' for a target number shooting is a dead cert if you have only that, but a +2 for a smart link means you have to roll a 5 or better to hit (1 in 3 chance) but if it is a 6 normally and you have the smart link you need to only beat 4,(1 in 2 chance). Or if you are a bit further out and the target number to shoot is a 9, there is your incentive to close the range until it is only a 7. etc

[ShadowDragon8685]

I just like 6=7 because it's a little, as was said earlier, "Merry Christmas" moment.

The system's way of self-correcting for it's extremely steep difficulty. It's like saying "We're using bell-curvacious dice on a linear difficulty scale that gets logarythmically more difficult as you go higher. So as a way of giving something back, we'll just make every multiple of six just as hard as every multiple of six +1, or make every multiple of six +1 just as easy as the multiple of six. Therefor, you can eke out that little bit of extra chance without more risk than would be incurred on a six.

[mfb]

[Kagetenshi]

It's hard to tell, but it looks like the effective TN shift magnitude gets increased by one when going past a multiple-of-6 boundary (henceforth referred to as "the 6 boundary", even if it's 12<->13, 18<->19, etc.). What happens when going downwards, or when both positive and negative TN modifiers make it cross both ways, or when crossing due to multiplication, isn't clear and may make TN summing non-associative and non-commutative.

~J

[mfb]

so if the TN is higher than 6, you add 1 to the TN; when it's higher than 12, you add 2 (or, rather, another +1 for a total of +2), and so on? that would make a lot of tests a whole lot harder. someone else will have to figure out how such a scheme would work out, as far as smooth progressions go.

[Ryu]

It was uncommented, so again:

Reroll 5+6, add 4. 5 is unchanged, 6 achieved at 2/6*5/6=10/36, 7 at 2/6*4/6=8/36. Both used to be 6/36. 8 is 2/6*3/6=6/36 now. And it is smoother because it uses more balanced hit/miss propabilities for rerolling.

[Stahlseele]

smooth compared to what? gravel street you're being dragged on? O.o

[mfb]

[Ryu]

Got that one from DS back in the day - one of the few houserule suggestions that was suggested once and accepted without discussion.

[Kagetenshi]

So you do find it workable in day-to-day play? I've always sorta looked askance at it. I'll have to slap together a chart when I get the chance.

~J

[Narse]

[mfb]

[Kagetenshi]

Under the current system: TN 8, +3 TN = TN 3, +8 TN = TN 11

Under Narse's proposed system: TN 8, +3 TN = TN 11, TN 3, +8 TN = TN (3 + 3=6) + 5 TN = TN (6+1)+4 TN = TN (6+1+1)+4 TN =TN 8+4 TN = TN 12

In other words, base TNs and modifiers stop being commutative. Never mind the probability distribution, that's a deal-breaker for me right there.

~J

[mfb]

yar, that's what i meant by the progression of difficulty. probably shouldn't be using the same term to refer both to this and to the array of chances to succeed at TN X with Y dice, but whateva.

[Ryu]