23-04-2004 20:21									#1
	MoM - How does combat work? Remove this text

I've finally gotten the game to work on my computer, and have been playing it again. I don't remember how the combat damage and whatnot was calculated, though, and my books for the game are packed away somewhere... so, anyone want to enlighten me?

EDIT: And a bonus question: What exactly is the differences between the difficulty levels?

	23-04-2004 22:30									#2
	Support Apolyton buy from Amazon

Here's a cut-and-paste from the FAQ:

code:
-------------------------------------------------------------------------------
4.5) How Does Multi-Figure vs Shields Combat Work?
-------------------------------------------------------------------------------

  Frequent question on the net: My Swordsmen unit, 6 figures, 4 swords.  Is it
  a 24 sword attack or six separate 4 sword hits?  The answer is the second.

  This makes a big difference, depending on the number of shields the opponent
  has.  For example, a new Stag Beetle has 1 figure, a 15 attack and a 7
  defense, while new Swordsmen have six figures with a 3 attack and a 2
  defense.

  In a fight, each Swordsman has a .3 * 3 = .9 chance of scoring a hit.
  However, on average, the Stag Beetle's 7 shields will block 7 * .3 = 2.1 hits
  of damage.  That means that the Swordsmen will only injure the Stag Beetle
  when by luck the Stag Beetle's shield roll below average.  Each attack the
  Swordsmen do make 6 attacks, improving the odds somewhat.

  The Stag Beetle will, on average, score 15 * .3 = 4.5 hits, with Swordsmen
  shields stopping only 2 * .3 = .6 hits of damage.  The Beetle will tend to do
  4.5 - .6 = 3.9 hits of damage each round.

  This gives you a reason to play races with higher shields, such as Trolls,
  Klackons, and Lizardmen.  If you just look at figures*swords, Catapults look
  pathetic compared to swordsmen.  But against high shield opponents, they
  are valuable.  The same with high hit, low figure summoned creatures.
                                 [jfardal@infinity.ccsi.com (John Fardal), BLJ]

  I think the second part is wrong -- the stag beetle will be blocked by the
  first swordsman's defense until it does one hit to kill it, then will have to
  overcome the defense of the second swordsman, and so on -- so it will
  actually do
          4.5 - .6 = 1 (killed it) + 2.9,
          2.9 - .6 = 1 (killed it) + 1.3,
          1.3 - .6 = .7 (might or might not kill it),
  thus killing 2 maybe 3 swordsmen on average, instead of 3 probably 4.
  I guess I'll have to run experiments on this, also.  [Later: verified my
  original theory on this one, anyway.  EACH figure gets its own defense
  against an attack that killed the previous figure.]                      [DP]


-------------------------------------------------------------------------------
4.6) Why does my Strength 7 hero get butchered by Strength 4 Swordsmen?
-------------------------------------------------------------------------------

  The answer is that there is strength in numbers.  Let's say we have High Men
  Veteran Swordsmen with 6 figures, 4 swords, 3 defense, and 1 heart per
  figure, versus a brand new Spyder The Rogue with 7 swords, 5 shields and 8
  hearts.  Neither unit has any "to-hit" bonuses.

  First round: Each sword represents a 30% chance of landing damage, for each
  figure in the unit.  Each swordsmen figures will average 4 * .3 = 1.2 raw
  hits.  But Spyder has 5 shields, representing five 30% chances to stop a hit
  of damage, averaging 1.5 stops per attack.  Basically, the Swordsmen have to
  get lucky and roll a little better than Spyder to slip a hit past his
  shields.  The table in section 10.16 indicates that a 4 sword figure will, on
  average, manage to slip .4 hits past a 5 shield defender.  Given 6 figures,
  we could predict 6 * .4 = 2.4 hits of damage.  Lets round to 3, and say
  Spyder takes 3 hits of damage, leaving 5 hearts.  Spyder's 7 swords against
  the Swordsmen's 3 shields can expect to get in 1.3 hits of damage.  Lets say
  Spyder gets 1 hit and that will take out the first swordsmen figure.

  Second round: Five swordsmen figures: 5 * .4 = 2 hits.  Spyder is down to
  3 hearts.  He does the same attack as last round, doing another hit of
  damage, taking out a second swordsmen figure.

  Third round: Four swordsmen figures: 4 * .4 = 1.6 hits.  1.6 is closer to 2,
  so let's take away 2 hearts, leaving Spyder just one.  Let's say Spyder gets
  a little lucky this time and round up the expected 1.3 hits to 2 hits.  The
  first hit takes out a third swordsmen figure.  The second hit goes on to
  figure number 4, but figure 4 gets to roll his shields.  Each of 3 shields
  gives a 30% chance of stopping the hit.  Let's say one of them does, and
  figure 4 survives.

  Fourth round: Three remaining swordsmen figures: 3 * .4 = 1.2 hits.  Spyder
  only had 1 hit left, and dies.  But first he gets to swing at the swordsmen,
  killing 1 figure.

  The Swordsmen have 2 of 6 figures left, and Spyder is dead.  Basically,
  each Swordsmen figure had an uphill battle with 3 less swords and 2 less
  shields, but the swordsmen unit had 6 figures to attack with.  Also, it is
  hard for Spyder to kill more than one figure per round because shields get
  reapplied when extra hits are passed along to the next figure.

  However, this analysis is a little biased against Spyder.  At a couple of
  points we rounded the Swordsmen's hits up.  If we had rounded down, Spyder
  could have been victorious.  Also, we gave the Swordsmen 60 experience
  (Veteran level), but Spyder none.  Once Spyder gets 20 experience he will
  get an additional sword, shield and heart, making him much tougher.

  Finally, don't forget random chance.  In the first round, the swordsmen get
  6*4 rolls against Spyder.  If the swordsmen's rolls are high and Spyder's
  shield rolls are low, he can get killed right there.  Another time Spyder
  could roll high and the swordsmen roll low, with no damage to Spyder at all.
                                                                          [BLJ]

	25-04-2004 07:07									#3
	Support Apolyton buy from Amazon

Thanks, that was helpful. I forgot how unique the combat was in MoM.


Another question - is it at all possible for trolls to use mithril/admantium/enchanted weapons?

	26-04-2004 10:46									#4
	Enter the AD-FREE zone

Only enchanted, if your wizard has Alchemy.

Edit: in the latest patches only.

	26-04-2004 17:21									#5
	Support Apolyton, buy Civilization III: Complete

Bugger. They really get handicapped, don't they? But regeneration is really nice...

	03-05-2004 19:26									#6
	forget trolls Support Apolyton, buy Civilization III: Complete

you want draconian flying warships (they can be enhanced with adamantium) and a fleet of them will kick just about anything (except blue dragons).

	04-05-2004 00:30									#7
	Support Apolyton, buy Civilization: The Boardgame

Or, for the 500 hammers you'd spend building a ship wright's guild, shipyard, and your first airship, you could build 11 draconian bowmen. You get a much lower attack, but 6 figures. Get them some experience and they can handle neutral town garrisons or low- to mid-level monsters. Throw some spells on them and they can be just as effective as the airship. I'd much rather get some medium-strength units on the map early than wait around for an uber-unit.

And regeneration is really nice. The thing I like the most is that your stack of war trolls is immune to attrition, as long as they can keep from being wiped out entirely. Lose 7 out of 9, with the remaing two barely alive? No problem, next turn you have a full-strength stack of 9 again.

	04-05-2004 17:41									#8
	Support Apolyton buy from Amazon

Here are some more tables, showing the chance of hitting (or blocking) a given number of hits, given the attack (or defense) value.

How to interpret these tables: if you have an attack of 3 and no to-hit bonus, you have a 34.3% chance of missing, a 44.1% chance of doing one damage, an 18.9% chance of hitting for 2 damage, and a 2.7% chance of hitting for 3 damage. With an attack of 3 and +2 to-hit bonus, the chances are: 12.5% chance of missing, 37.5% chance of damage 1, 37.5% chance of damage 2, 12.5% chance of damage 3.

No bonus:

code:

    0      1      2      3      4      5      6      7      8      9      10     11     12     13     14     15     16     17     18     19     20     21     22     23     24     25
 1 0.7000 0.3000
 2 0.4900 0.4200 0.0900
 3 0.3430 0.4410 0.1890 0.0270
 4 0.2401 0.4116 0.2646 0.0756 0.0081
 5 0.1681 0.3601 0.3087 0.1323 0.0284 0.0024
 6 0.1176 0.3025 0.3241 0.1852 0.0595 0.0102 0.0007
 7 0.0824 0.2471 0.3177 0.2269 0.0972 0.0250 0.0036 0.0002
 8 0.0576 0.1977 0.2965 0.2541 0.1361 0.0467 0.0100 0.0012 0.0001
 9 0.0404 0.1556 0.2668 0.2668 0.1715 0.0735 0.0210 0.0039 0.0004 0.0000
10 0.0282 0.1211 0.2335 0.2668 0.2001 0.1029 0.0368 0.0090 0.0014 0.0001 0.0000
11 0.0198 0.0932 0.1998 0.2568 0.2201 0.1321 0.0566 0.0173 0.0037 0.0005 0.0000 0.0000
12 0.0138 0.0712 0.1678 0.2397 0.2311 0.1585 0.0792 0.0291 0.0078 0.0015 0.0002 0.0000 0.0000
13 0.0097 0.0540 0.1388 0.2181 0.2337 0.1803 0.1030 0.0442 0.0142 0.0034 0.0006 0.0001 0.0000 0.0000
14 0.0068 0.0407 0.1134 0.1943 0.2290 0.1963 0.1262 0.0618 0.0232 0.0066 0.0014 0.0002 0.0000 0.0000 0.0000
15 0.0047 0.0305 0.0916 0.1700 0.2186 0.2061 0.1472 0.0811 0.0348 0.0116 0.0030 0.0006 0.0001 0.0000 0.0000 0.0000
16 0.0033 0.0228 0.0732 0.1465 0.2040 0.2099 0.1649 0.1010 0.0487 0.0185 0.0056 0.0013 0.0002 0.0000 0.0000 0.0000 0.0000
17 0.0023 0.0169 0.0581 0.1245 0.1868 0.2081 0.1784 0.1201 0.0644 0.0276 0.0095 0.0026 0.0006 0.0001 0.0000 0.0000 0.0000 0.0000
18 0.0016 0.0126 0.0458 0.1046 0.1681 0.2017 0.1873 0.1376 0.0811 0.0386 0.0149 0.0046 0.0012 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000
19 0.0011 0.0093 0.0358 0.0869 0.1491 0.1916 0.1916 0.1525 0.0981 0.0514 0.0220 0.0077 0.0022 0.0005 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000
20 0.0008 0.0068 0.0278 0.0716 0.1304 0.1789 0.1916 0.1643 0.1144 0.0654 0.0308 0.0120 0.0039 0.0010 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
21 0.0006 0.0050 0.0215 0.0585 0.1128 0.1643 0.1878 0.1725 0.1294 0.0801 0.0412 0.0176 0.0063 0.0019 0.0005 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
22 0.0004 0.0037 0.0166 0.0474 0.0965 0.1489 0.1808 0.1771 0.1423 0.0949 0.0529 0.0247 0.0097 0.0032 0.0009 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
23 0.0003 0.0027 0.0127 0.0382 0.0818 0.1332 0.1712 0.1782 0.1527 0.1091 0.0655 0.0332 0.0142 0.0052 0.0016 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
24 0.0002 0.0020 0.0097 0.0305 0.0687 0.1177 0.1598 0.1761 0.1604 0.1222 0.0785 0.0428 0.0199 0.0079 0.0026 0.0008 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
25 0.0001 0.0014 0.0074 0.0243 0.0572 0.1030 0.1472 0.1712 0.1651 0.1336 0.0916 0.0536 0.0268 0.0115 0.0042 0.0013 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
50 0.0000 0.0000 0.0000 0.0000 0.0001 0.0006 0.0018 0.0048 0.0110 0.0220 0.0386 0.0602 0.0838 0.1050 0.1189 0.1223 0.1147 0.0983 0.0772 0.0558 0.0370 0.0227 0.0128 0.0067 0.0032 0.0014
          0.0006 0.0002 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000


+1 to hit:
    0      1      2      3      4      5      6      7      8      9      10     11     12     13     14     15     16     17     18     19     20     21     22     23     24     25
 1 0.6000 0.4000
 2 0.3600 0.4800 0.1600
 3 0.2160 0.4320 0.2880 0.0640
 4 0.1296 0.3456 0.3456 0.1536 0.0256
 5 0.0778 0.2592 0.3456 0.2304 0.0768 0.0102
 6 0.0467 0.1866 0.3110 0.2765 0.1382 0.0369 0.0041
 7 0.0280 0.1306 0.2613 0.2903 0.1935 0.0774 0.0172 0.0016
 8 0.0168 0.0896 0.2090 0.2787 0.2322 0.1239 0.0413 0.0079 0.0007
 9 0.0101 0.0605 0.1612 0.2508 0.2508 0.1672 0.0743 0.0212 0.0035 0.0003
10 0.0060 0.0403 0.1209 0.2150 0.2508 0.2007 0.1115 0.0425 0.0106 0.0016 0.0001
11 0.0036 0.0266 0.0887 0.1774 0.2365 0.2207 0.1471 0.0701 0.0234 0.0052 0.0007 0.0000
12 0.0022 0.0174 0.0639 0.1419 0.2128 0.2270 0.1766 0.1009 0.0420 0.0125 0.0025 0.0003 0.0000
13 0.0013 0.0113 0.0453 0.1107 0.1845 0.2214 0.1968 0.1312 0.0656 0.0243 0.0065 0.0012 0.0001 0.0000
14 0.0008 0.0073 0.0317 0.0845 0.1549 0.2066 0.2066 0.1574 0.0918 0.0408 0.0136 0.0033 0.0005 0.0001 0.0000
15 0.0005 0.0047 0.0219 0.0634 0.1268 0.1859 0.2066 0.1771 0.1181 0.0612 0.0245 0.0074 0.0016 0.0003 0.0000 0.0000
16 0.0003 0.0030 0.0150 0.0468 0.1014 0.1623 0.1983 0.1889 0.1417 0.0840 0.0392 0.0142 0.0040 0.0008 0.0001 0.0000 0.0000
17 0.0002 0.0019 0.0102 0.0341 0.0796 0.1379 0.1839 0.1927 0.1606 0.1070 0.0571 0.0242 0.0081 0.0021 0.0004 0.0001 0.0000 0.0000
18 0.0001 0.0012 0.0069 0.0246 0.0614 0.1146 0.1655 0.1892 0.1734 0.1284 0.0771 0.0374 0.0145 0.0045 0.0011 0.0002 0.0000 0.0000 0.0000
19 0.0001 0.0008 0.0046 0.0175 0.0467 0.0933 0.1451 0.1797 0.1797 0.1464 0.0976 0.0532 0.0237 0.0085 0.0024 0.0005 0.0001 0.0000 0.0000 0.0000
20 0.0000 0.0005 0.0031 0.0123 0.0350 0.0746 0.1244 0.1659 0.1797 0.1597 0.1171 0.0710 0.0355 0.0146 0.0049 0.0013 0.0003 0.0000 0.0000 0.0000 0.0000
21 0.0000 0.0003 0.0020 0.0086 0.0259 0.0588 0.1045 0.1493 0.1742 0.1677 0.1342 0.0895 0.0497 0.0229 0.0087 0.0027 0.0007 0.0001 0.0000 0.0000 0.0000 0.0000
22 0.0000 0.0002 0.0014 0.0060 0.0190 0.0456 0.0862 0.1314 0.1642 0.1703 0.1476 0.1073 0.0656 0.0336 0.0144 0.0051 0.0015 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000
23 0.0000 0.0001 0.0009 0.0041 0.0138 0.0350 0.0700 0.1133 0.1511 0.1679 0.1567 0.1234 0.0823 0.0464 0.0221 0.0088 0.0029 0.0008 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000
24 0.0000 0.0001 0.0006 0.0028 0.0099 0.0265 0.0560 0.0960 0.1360 0.1612 0.1612 0.1367 0.0988 0.0608 0.0318 0.0141 0.0053 0.0017 0.0004 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000
25 0.0000 0.0000 0.0004 0.0019 0.0071 0.0199 0.0442 0.0800 0.1200 0.1511 0.1612 0.1465 0.1140 0.0760 0.0434 0.0212 0.0088 0.0031 0.0009 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
50 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0005 0.0014 0.0035 0.0076 0.0147 0.0260 0.0415 0.0606 0.0808 0.0987 0.1109 0.1146 0.1091 0.0959 0.0778 0.0584 0.0405
          0.0259 0.0154 0.0084 0.0043 0.0020 0.0009 0.0003 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000


+2 to hit:
    0      1      2      3      4      5      6      7      8      9      10     11     12     13     14     15     16     17     18     19     20     21     22     23     24     25
 1 0.5000 0.5000
 2 0.2500 0.5000 0.2500
 3 0.1250 0.3750 0.3750 0.1250
 4 0.0625 0.2500 0.3750 0.2500 0.0625
 5 0.0313 0.1563 0.3125 0.3125 0.1563 0.0313
 6 0.0156 0.0938 0.2344 0.3125 0.2344 0.0938 0.0156
 7 0.0078 0.0547 0.1641 0.2734 0.2734 0.1641 0.0547 0.0078
 8 0.0039 0.0313 0.1094 0.2188 0.2734 0.2188 0.1094 0.0313 0.0039
 9 0.0020 0.0176 0.0703 0.1641 0.2461 0.2461 0.1641 0.0703 0.0176 0.0020
10 0.0010 0.0098 0.0439 0.1172 0.2051 0.2461 0.2051 0.1172 0.0439 0.0098 0.0010
11 0.0005 0.0054 0.0269 0.0806 0.1611 0.2256 0.2256 0.1611 0.0806 0.0269 0.0054 0.0005
12 0.0002 0.0029 0.0161 0.0537 0.1208 0.1934 0.2256 0.1934 0.1208 0.0537 0.0161 0.0029 0.0002
13 0.0001 0.0016 0.0095 0.0349 0.0873 0.1571 0.2095 0.2095 0.1571 0.0873 0.0349 0.0095 0.0016 0.0001
14 0.0001 0.0009 0.0056 0.0222 0.0611 0.1222 0.1833 0.2095 0.1833 0.1222 0.0611 0.0222 0.0056 0.0009 0.0001
15 0.0000 0.0005 0.0032 0.0139 0.0417 0.0916 0.1527 0.1964 0.1964 0.1527 0.0916 0.0417 0.0139 0.0032 0.0005 0.0000
16 0.0000 0.0002 0.0018 0.0085 0.0278 0.0667 0.1222 0.1746 0.1964 0.1746 0.1222 0.0667 0.0278 0.0085 0.0018 0.0002 0.0000
17 0.0000 0.0001 0.0010 0.0052 0.0182 0.0472 0.0944 0.1484 0.1855 0.1855 0.1484 0.0944 0.0472 0.0182 0.0052 0.0010 0.0001 0.0000
18 0.0000 0.0001 0.0006 0.0031 0.0117 0.0327 0.0708 0.1214 0.1669 0.1855 0.1669 0.1214 0.0708 0.0327 0.0117 0.0031 0.0006 0.0001 0.0000
19 0.0000 0.0000 0.0003 0.0018 0.0074 0.0222 0.0518 0.0961 0.1442 0.1762 0.1762 0.1442 0.0961 0.0518 0.0222 0.0074 0.0018 0.0003 0.0000 0.0000
20 0.0000 0.0000 0.0002 0.0011 0.0046 0.0148 0.0370 0.0739 0.1201 0.1602 0.1762 0.1602 0.1201 0.0739 0.0370 0.0148 0.0046 0.0011 0.0002 0.0000 0.0000
21 0.0000 0.0000 0.0001 0.0006 0.0029 0.0097 0.0259 0.0554 0.0970 0.1402 0.1682 0.1682 0.1402 0.0970 0.0554 0.0259 0.0097 0.0029 0.0006 0.0001 0.0000 0.0000
22 0.0000 0.0000 0.0001 0.0004 0.0017 0.0063 0.0178 0.0407 0.0762 0.1186 0.1542 0.1682 0.1542 0.1186 0.0762 0.0407 0.0178 0.0063 0.0017 0.0004 0.0001 0.0000 0.0000
23 0.0000 0.0000 0.0000 0.0002 0.0011 0.0040 0.0120 0.0292 0.0584 0.0974 0.1364 0.1612 0.1612 0.1364 0.0974 0.0584 0.0292 0.0120 0.0040 0.0011 0.0002 0.0000 0.0000 0.0000
24 0.0000 0.0000 0.0000 0.0001 0.0006 0.0025 0.0080 0.0206 0.0438 0.0779 0.1169 0.1488 0.1612 0.1488 0.1169 0.0779 0.0438 0.0206 0.0080 0.0025 0.0006 0.0001 0.0000 0.0000 0.0000
25 0.0000 0.0000 0.0000 0.0001 0.0004 0.0016 0.0053 0.0143 0.0322 0.0609 0.0974 0.1328 0.1550 0.1550 0.1328 0.0974 0.0609 0.0322 0.0143 0.0053 0.0016 0.0004 0.0001 0.0000 0.0000 0.0000
50 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0008 0.0020 0.0044 0.0087 0.0160 0.0270 0.0419 0.0598 0.0788 0.0960 0.1080 0.1123
          0.1080 0.0960 0.0788 0.0598 0.0419 0.0270 0.0160 0.0087 0.0044 0.0020 0.0008 0.0003 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000


+3 to hit:
    0      1      2      3      4      5      6      7      8      9      10     11     12     13     14     15     16     17     18     19     20     21     22     23     24     25
 1 0.4000 0.6000
 2 0.1600 0.4800 0.3600
 3 0.0640 0.2880 0.4320 0.2160
 4 0.0256 0.1536 0.3456 0.3456 0.1296
 5 0.0102 0.0768 0.2304 0.3456 0.2592 0.0778
 6 0.0041 0.0369 0.1382 0.2765 0.3110 0.1866 0.0467
 7 0.0016 0.0172 0.0774 0.1935 0.2903 0.2613 0.1306 0.0280
 8 0.0007 0.0079 0.0413 0.1239 0.2322 0.2787 0.2090 0.0896 0.0168
 9 0.0003 0.0035 0.0212 0.0743 0.1672 0.2508 0.2508 0.1612 0.0605 0.0101
10 0.0001 0.0016 0.0106 0.0425 0.1115 0.2007 0.2508 0.2150 0.1209 0.0403 0.0060
11 0.0000 0.0007 0.0052 0.0234 0.0701 0.1471 0.2207 0.2365 0.1774 0.0887 0.0266 0.0036
12 0.0000 0.0003 0.0025 0.0125 0.0420 0.1009 0.1766 0.2270 0.2128 0.1419 0.0639 0.0174 0.0022
13 0.0000 0.0001 0.0012 0.0065 0.0243 0.0656 0.1312 0.1968 0.2214 0.1845 0.1107 0.0453 0.0113 0.0013
14 0.0000 0.0001 0.0005 0.0033 0.0136 0.0408 0.0918 0.1574 0.2066 0.2066 0.1549 0.0845 0.0317 0.0073 0.0008
15 0.0000 0.0000 0.0003 0.0016 0.0074 0.0245 0.0612 0.1181 0.1771 0.2066 0.1859 0.1268 0.0634 0.0219 0.0047 0.0005
16 0.0000 0.0000 0.0001 0.0008 0.0040 0.0142 0.0392 0.0840 0.1417 0.1889 0.1983 0.1623 0.1014 0.0468 0.0150 0.0030 0.0003
17 0.0000 0.0000 0.0001 0.0004 0.0021 0.0081 0.0242 0.0571 0.1070 0.1606 0.1927 0.1839 0.1379 0.0796 0.0341 0.0102 0.0019 0.0002
18 0.0000 0.0000 0.0000 0.0002 0.0011 0.0045 0.0145 0.0374 0.0771 0.1284 0.1734 0.1892 0.1655 0.1146 0.0614 0.0246 0.0069 0.0012 0.0001
19 0.0000 0.0000 0.0000 0.0001 0.0005 0.0024 0.0085 0.0237 0.0532 0.0976 0.1464 0.1797 0.1797 0.1451 0.0933 0.0467 0.0175 0.0046 0.0008 0.0001
20 0.0000 0.0000 0.0000 0.0000 0.0003 0.0013 0.0049 0.0146 0.0355 0.0710 0.1171 0.1597 0.1797 0.1659 0.1244 0.0746 0.0350 0.0123 0.0031 0.0005 0.0000
21 0.0000 0.0000 0.0000 0.0000 0.0001 0.0007 0.0027 0.0087 0.0229 0.0497 0.0895 0.1342 0.1677 0.1742 0.1493 0.1045 0.0588 0.0259 0.0086 0.0020 0.0003 0.0000
22 0.0000 0.0000 0.0000 0.0000 0.0001 0.0004 0.0015 0.0051 0.0144 0.0336 0.0656 0.1073 0.1476 0.1703 0.1642 0.1314 0.0862 0.0456 0.0190 0.0060 0.0014 0.0002 0.0000
23 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0008 0.0029 0.0088 0.0221 0.0464 0.0823 0.1234 0.1567 0.1679 0.1511 0.1133 0.0700 0.0350 0.0138 0.0041 0.0009 0.0001 0.0000
24 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0004 0.0017 0.0053 0.0141 0.0318 0.0608 0.0988 0.1367 0.1612 0.1612 0.1360 0.0960 0.0560 0.0265 0.0099 0.0028 0.0006 0.0001 0.0000
25 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0002 0.0009 0.0031 0.0088 0.0212 0.0434 0.0760 0.1140 0.1465 0.1612 0.1511 0.1200 0.0800 0.0442 0.0199 0.0071 0.0019 0.0004 0.0000 0.0000
50 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0003 0.0009 0.0020 0.0043 0.0084 0.0154 0.0259 0.0405
          0.0584 0.0778 0.0959 0.1091 0.1146 0.1109 0.0987 0.0808 0.0606 0.0415 0.0260 0.0147 0.0076 0.0035 0.0014 0.0005 0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

	04-05-2004 20:07									#9
	Inflate your Upload Space

May be it is easier to know the formulae:

Base chance to hit is 0.3
Each plus to hit adds 0.1 (up to +0.3 for normal units))
Magic/Mithril/Adamantium +0.1
Lucky +0.1
- Holy weapon +0.1
- Prayer +0.1
- High Prayer +0.2
* Chance to hit cannot be greater than 1, and 1 means automatic hit.
The average damage for each figure is attack strength multiplied by chance to hit. Of course the target'sdefence should be applied in similar way to calculate the real damage.

The base chance to block is 0.3
lucky adds +0.1
eldritched enemy weapon substracts -0.1
Prayer adds +0.1
High Prayer adds +0.2
So here thr maximum is 0.7 (if I am not missing something).
The average absorbed damage should be the chance to block multiplied by the defence strength.

	04-05-2004 20:46									#10
	Lose 30 kilos (of popups)

The problem with using the "average" numbers is that the curve is pretty flat, and you see "non-average" results a lot. I remember sending Theria, with defense 8, into a node with unicorns (attack 5, +1 to hit), expecting her to be safe (average damage blocked = 8*.3 = 2.4; average damage inflicted = 5*.4 = 2.0). Well, they killed her pretty quickly. Looking at the table, the unicorns have a 31.74% chance of inflicting 3 or more damage, so I'd expect at least one figure to hit for that much on each attack.

I usually look at per-figure expected results on attack. An easy example (and a common early-game unit for me) where the numbers work out exactly is veteran halfling swordsmen with magic weapons (3 attack, +2 to hit). The expected result on each attack: 1 figure misses, 3 figures hit for 1 damage, 3 figures hit for 2 damage, 1 figure hits for 3 damage. That averages to 1.5 damage, just like in bakalov's calculation, but the damage done will tend to be much higher than that average would lead you to estimate (i.e., if the defender has 5 shields, he might expect to block all the damage, but will on average take about 4 hits per attack).

	05-05-2004 11:40									#11
	Browse Apolyton AD-FREE

Of course there is probability the enemy to get luckier and hit harder than the average, or you to defend poorer than the average. There is no such thing as "safe", but you can improve your odds :-) Theoretically there is possibility to have 50 def and to block 0 :-) A very small probability but it can happen ....

	06-05-2004 03:08									#12
	Help yourself to an AD-FREE life

Unicorns are special:
They have an armor piercing attack so your shields against them are halved. No wonder Theria got killed pretty easily.

	06-05-2004 17:21									#13
	Browse Apolyton AD-FREE

I opened up my hacking.txt file and my trusty hexeditor, and verified that unicorns do not have armor piercing attack in my game (patch 1.3.1).

Edit: fixed game version.

Last edited by DaveV on 06-05-2004 at 22:19

	07-05-2004 07:28									#14
	Whoops Remove this text

Guess you are right. I just looked myself. Now I could have sworn they were armor piercing. Where would I have gotten the notion. Oh well, you were just unluckly I guess. In general though, attack is better than defense. There are all sorts of + modifiers to the swords attack calculations but very fiew + modifiers to the shields defense calculations. Thus, the swords are typically hitting with a 50% chance and the shields defending with a 30% chance.

	07-05-2004 21:34									#15
	Re: Whoops Increase Your PM Length

quote: Originally posted by pchang Oh well, you were just unluckly I guess.

No, the point I meant to make is that it was bad judgement to send Theria into that situation, rather than bad luck that she died. With 8 shields, Theria still has a 25.53% chance of blocking less than two hits, and a 55.18% chance of blocking less than 3 hits. I'd expect following for a 4-figure unicorn unit: one figure hits for 1 damage, one figure hits for 2 damage, one figure hits for 3 damage. The fourth figure has about an equal probability of doing 0, 2, or 4 damage. Over a number of attacks, Theria's shields *will* fail to block some damage. Long before she can kill a decent number of unicorns, they will be able to kill her.

	11-05-2004 22:47									#16
	Support Apolyton, buy Alpha Centauri

Why do the unicorns get a 40% chance to hit. I thought it was 33%.

	12-05-2004 12:03									#17
	Got spare money?

There is no such chance as 33%. The default chance is 30% and the modifiers increase it by 10% each. Certain summoned creatures have +to hit ability. If the unicorns have +1 to hit, this means their chance will be
30%+1.10% = 40%

	12-05-2004 21:06									#18
	Enter the AD-FREE zone

Actually, unicorns turn out to be +2 to hit. No wonder they had such an easy time with Theria...

	13-05-2004 06:32									#19
	Support Apolyton buy from Amazon

I just used Theria to wipe out some unicorns and guardian spirits. But, she had been boosted to 13 shields. And, I had to cast 2 heal spells too. That +2 to hit for the unicorn is very powerful.