Critical success / failure on more than 3 dice

[JLV]

That's a table that is better than the one in the Codex -- it more or less agrees with p. 38 of ITL, which I much prefer.

[zot]

Originally Posted by ak_aramis

Pulled the following table from my notes:

 Dice		2	3	4	5	6	7	8	9	
Damage ×3	—	3	4-5	5-7	6-9	7-11	8-13	9-15
Damage ×2	—	4	6-7	8-10	8-10	12-16	14-19	16-22
Autohit ×1	2	5	8	11	14	17	20	23
Automiss	12	16	20	24	28	32	36	42
Drop weapon	—	17	21-22	25-27	29-32	33-37	37-42	43-48
Break weapon	—	18	23-24	28-30	33-36	38-42	43-48	49-54

Nice! Should 6 dice double damage be 10-13?

[Nils_Lindeberg]

Originally Posted by zot

Nice! Should 6 dice double damage be 10-13?

Nice table, but is it correct for auto hit and auto miss? Does the chance for that really stay the same, since it keeps its interval of only 1 number no matter the number of dice?

[Rick_Smith]

Originally Posted by Nils_Lindeberg

Nice table, but is it correct for auto hit and auto miss? Does the chance for that really stay the same, since it keeps its interval of only 1 number no matter the number of dice?

Hi Nils,
No the percentages change. The chance of auto hits and misses drops as you add more dice using that system.

Warm regards, Rick.

[The Wyzard]

Hmm.

I wonder if you could do something like:

If you roll a "triples" result and it's a success, that's a critical hit. If you roll a triples result and it's a failure, that's a critical failure.

It's easy to remember, and stupid dice tricks are fun, but I'm not sure how to elegantly incorporate additional dice into it.

[Rick_Smith]

Originally Posted by Nils_Lindeberg

Nice table, but is it correct for auto hit and auto miss? Does the chance for that really stay the same, since it keeps its interval of only 1 number no matter the number of dice?

Hi Nils, everyone.
My earlier reply was wrong. Here is the correct data:

KEY RESULTS ON MORE DICE:
# Dice ......... x3 ............ x2 .............. Auto S. .......... Auto F. ........ Drop W. ....... Break W.
----------------------------------------------------------------------------------------------------------
2 Dice ............................................. 2 .................... 12 ......................................
3 Dice ......... 3 .............. 4 ............... 5 .................... 16 ............... 17 ................ 18
4 Dice ......... 4 or 5 ....... 6 or 7 ......... 8 .................... 20 ............... 21 or 22 ........ 23 or 24
5 Dice ......... 5 to 7 ....... 8 or 9 ......... 10 or 11 .......... 24 or 25 ....... 26 or 27 ........ 28 to 30
6 Dice ......... 6 to 8 ....... 9 to 12 ........ 13 or 14 ......... 28 or 29 ....... 30 to 33 ......... 34 to 36
7 Dice ......... 7 to 10 ..... 11 to 14 ....... 15 to 17 ......... 32 to 34 ....... 35 to 38 ......... 39 to 42



CHANCE OF VARIOUS RESULTS:
Num. ........... x3 ............ x2 .............. Auto ............... Auto ........... Drop ........... Break ........... Any Auto-
Dice ................................................. Succ. .............. Failure ........ Weapon ....... Weapon ....... Failure
---------------------------------------------------------------------------------------------------------------------------
2 Dice .............................................. 2.77 %............. 2.77 % .................................................. . 2.77%
3 Dice .......... 0.46% ...... 1.39% ........ 2.78% ............. 2.78% .......... 1.39% .......... 0.46% .......... 4.63%
4 Dice .......... 0.39 ......... 2.31 ........... 2.70 ................ 2.70 ............. 2.31 ............. 0.39 ............. 5.40
5 Dice .......... 0.27 ......... 1.35 ........... 4.26 ................ 4.26 ............. 1.35 ............. 0.27 ............. 5.88
6 Dice .......... 0.06 ......... 1.91 ........... 4.11 ................ 4.11 ............. 1.91 ............. 0.06 ............. 6.08
7 Dice .......... 0.04 ......... 1.18 ........... 4.92 ................ 4.92 ............. 1.18 ............. 0.04 ............. 6.12



SUMMARY:
Using this system, the chance of a critical actually rises, but the chance of a triple or broken weapon drops significantly. The chance of a double damage or dropped weapon stays roughly the same (except for a 4 die roll when chance of these results jumps a fair bit).

Warm regards, Rick.

[JLV]

That looks better. Thanks for fixing.

[Skarg]

The chance of rolling a 2 or 12 on 2d6 is 1/36 each, so 2.8%, not 0.28%.

I don't think I'd want the chance of auto-success to actually increase for harder rolls.

[mcguire]

Originally Posted by ak_aramis

The auto-success range is formulaic: On n dice where n>1, a=(3×(n-1))-1 or less succeeds. The bad results mirror it, so f=7n-a or more

According to my rather crappy coding and impersonation of a statistician, that leads to results that start at 4.63% for 3 dice, rise to 6.12% for 7 dice, then decline gradually:

5 or less on 3 dice: 4.63%
8 or less on 4 dice: 5.4%
11 or less on 5 dice: 5.88%
14 or less on 6 dice: 6.08%
17 or less on 7 dice: 6.12%
20 or less on 8 dice: 6.07%
23 or less on 9 dice: 5.96%
26 or less on 10 dice: 5.8%
29 or less on 11 dice: 5.62%
32 or less on 12 dice: 5.43%
35 or less on 13 dice: 5.23%
38 or less on 14 dice: 5.02%
41 or less on 15 dice: 4.81%
...
71 or less on 25 dice: 3.03%
...
146 or less on 50 dice: 0.9%
...
293 or less on 99 dice: 0.09%

I always assumed the intent was to keep critical successes and failures around 5%, to counterbalance very high experience levels. I would guess the "3 special dice" approach would be the closest to that, at least for more than 6 or 8 dice.

You all do realize that with Tunnels and Trolls, or at least the spin-off, Monsters and Mazes, you could simulate the clash of giant armies, if you had enough dice.

[ak_aramis]

Originally Posted by mcguire

According to my rather crappy coding and impersonation of a statistician, that leads to results that start at 4.63% for 3 dice, rise to 6.12% for 7 dice, then decline gradually:

5 or less on 3 dice: 4.63%
8 or less on 4 dice: 5.4%
11 or less on 5 dice: 5.88%
14 or less on 6 dice: 6.08%
17 or less on 7 dice: 6.12%
20 or less on 8 dice: 6.07%
23 or less on 9 dice: 5.96%
26 or less on 10 dice: 5.8%
29 or less on 11 dice: 5.62%
32 or less on 12 dice: 5.43%
35 or less on 13 dice: 5.23%
38 or less on 14 dice: 5.02%
41 or less on 15 dice: 4.81%
...
71 or less on 25 dice: 3.03%
...
146 or less on 50 dice: 0.9%
...
293 or less on 99 dice: 0.09%

I always assumed the intent was to keep critical successes and failures around 5%, to counterbalance very high experience levels. I would guess the "3 special dice" approach would be the closest to that, at least for more than 6 or 8 dice.

You all do realize that with Tunnels and Trolls, or at least the spin-off, Monsters and Mazes, you could simulate the clash of giant armies, if you had enough dice.

I've done that.