Template:Spell probability table: Difference between revisions
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== Spell probabilities == | |||
NOTE: In these tables:<br> | |||
1) Good/Evil/Neutral factions have been colored as sometimes spells are available based on alignment.<br> | |||
2) A "-" means a Mage Guild of that level is not available in this town. | |||
=== Mage Guild Probabilities === | |||
The values in this table are the probabilities of a spell appearing in a given mage guild. These values are not in the game files. | |||
<span class="mw-customtoggle-SpellProbDetails" style="color:blue">'''<big>Details</big>'''</span> | |||
<div class="mw-collapsible mw-collapsed" id="mw-customcollapsible-SpellProbDetails"> | |||
* The formula for % chance for | |||
[[Category: Table templates]] | [[Category: Table templates]] | ||
</noinclude> | </noinclude> |
Revision as of 10:46, 14 November 2024
Spell probabilities
NOTE: In these tables:
1) Good/Evil/Neutral factions have been colored as sometimes spells are available based on alignment.
2) A "-" means a Mage Guild of that level is not available in this town.
Mage Guild Probabilities
The values in this table are the probabilities of a spell appearing in a given mage guild. These values are not in the game files.
Details
- The formula for % chance for a spell to appear in a given mage guild is close to 1-(1-(x/100))y, where x is the value in the Spell Slot Probabilities table and y is the # of spell slots for the spell level (e.g. 5 for level 1, 2 for level 4, +1 if the town is a Tower containing a library).
- For Example: Magic Arrow has a 30% chance of appearing in a given level 1 spell slot (of which there are 5), so the chance to appear in a given mage guild is 1-(1-30/100)5=1-(0.7)5=1-0.16807 = ~83%
- BUT - this formula assumes that a spell could show up multiple times in a level which it can't. If a different spell is chosen for the first available slot, then the formula for the second available slot would be 1-(1-(x/(100-z))), where z is the value in this table of the chosen spell.
- Every subsequently chosen other spell would modify the formula for the probability of the next slot (e.g. 1-(1-(x/(100-z1-z2-z3...)))
- If a spell could appear multiple times, the formula for every slot would be 1-(1-(x/100)).
NOTE: The values in this table are based on the rough, simplistic formula (1-(1-(x/100))y). The real values will be slightly higher. If someone wants to calculate the real values and edit this table, go for it!
NOTE: The 2 Tower values are for without/with the library.
School | Level | ![]() |
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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Water | 1 | 41 | 23 | 23 / 26 | 0 | 0 | 14 | 14 | 23 | 23 | 41 | 14 |
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Fire | 1 | 0 | 0 | 0 / 0 | 41 | 23 | 23 | 41 | 23 | 23 | 23 | 23 |
![]() |
Water | 1 | 41 | 41 | 23 / 26 | 23 | 0 | 23 | 23 | 41 | 23 | 23 | 23 |
![]() |
Fire | 1 | 0 | 0 | 14 / 17 | 23 | 41 | 23 | 0 | 0 | 0 | 0 | 0 |
![]() |
Water | 1 | 41 | 41 | 41 / 47 | 41 | 41 | 41 | 41 | 41 | 41 | 41 | 41 |
![]() |
Air | 1 | 23 | 41 | 23 / 26 | 23 | 23 | 41 | 23 | 41 | 41 | 41 | 41 |
![]() |
All | 1 | 83 | 83 | 83 / 88 | 83 | 83 | 83 | 83 | 83 | 83 | 83 | 83 |
![]() |
Fire | 1 | 14 | 14 | 14 / 17 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
![]() |
Water | 1 | 14 | 14 | 14 / 17 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
![]() |
Earth | 1 | 41 | 14 | 23 / 26 | 14 | 41 | 23 | 23 | 23 | 23 | 14 | 23 |
![]() |
Earth | 1 | 23 | 41 | 41 / 47 | 41 | 23 | 23 | 23 | 23 | 41 | 23 | 23 |
![]() |
Earth | 1 | 23 | 23 | 41 / 47 | 23 | 41 | 23 | 41 | 23 | 23 | 23 | 41 |
![]() |
Water | 1 | 14 | 23 | 23 / 26 | 23 | 14 | 23 | 23 | 14 | 14 | 23 | 23 |
![]() |
Air | 1 | 14 | 14 | 14 / 17 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
![]() |
Earth | 1 | 14 | 14 | 14 / 17 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
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Fire | 2 | 15 | 22 | 8 / 10 | 40 | 15 | 15 | 15 | 22 | 28 | 0 | 28 |
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Earth | 2 | 0 | 0 | 0 / 0 | 0 | 94 | 0 | 0 | 0 | 0 | 0 | 0 |
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Air | 2 | 8 | 8 | 8 / 10 | 15 | 8 | 8 | 8 | 0 | 8 | 8 | 8 |
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Air | 2 | 22 | 15 | 22 / 27 | 40 | 15 | 22 | 22 | 22 | 28 | 15 | 15 |
![]() |
Fire | 2 | 15 | 15 | 15 / 18 | 40 | 15 | 15 | 15 | 15 | 28 | 15 | 15 |
![]() |
Air | 2 | 15 | 22 | 15 / 18 | 15 | 8 | 8 | 15 | 15 | 8 | 15 | 8 |
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Water | 2 | 94 | 94 | 22 / 27 | 0 | 22 | 22 | 15 | 94 | 68 | 94 | 15 |
![]() |
Air | 2 | 15 | 15 | 94 / 97 | 59 | 22 | 94 | 94 | 15 | 68 | 15 | 94 |
![]() |
Air | 2 | 22 | 22 | 15 / 18 | 28 | 8 | 22 | 15 | 15 | 8 | 15 | 22 |
![]() |
Air | 2 | 8 | 8 | 8 / 10 | 15 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
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Earth | 2 | 15 | 15 | 22 / 27 | 15 | 15 | 15 | 22 | 22 | 15 | 15 | 15 |
![]() |
Water | 2 | 15 | 15 | 22 / 27 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
![]() |
Water | 2 | 22 | 15 | 15 / 18 | 15 | 15 | 15 | 15 | 15 | 15 | 28 | 15 |
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All | 2 | 8 | 8 | 8 / 10 | 15 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
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Water | 2 | 8 | 8 | 8 / 10 | 28 | 15 | 15 | 15 | 15 | 15 | 28 | 15 |
![]() |
Air | 3 | 12 | 22 | 22 / 28 | 6 | 12 | 12 | 22 | 12 | 12 | 6 | 22 |
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Earth | 3 | 0 | 0 | 0 / 0 | 0 | 41 | 0 | 0 | 0 | 0 | 0 | 0 |
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Earth | 3 | 32 | 22 | 22 / 28 | 12 | 22 | 22 | 32 | 27 | 32 | 27 | 22 |
![]() |
Air | 3 | 32 | 22 | 22 / 28 | 6 | 0 | 12 | 12 | 6 | 12 | 6 | 12 |
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Earth | 3 | 12 | 22 | 12 / 15 | 17 | 12 | 12 | 12 | 88 | 12 | 22 | 22 |
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Fire | 3 | 22 | 22 | 22 / 28 | 88 | 32 | 41 | 32 | 6 | 32 | 6 | 32 |
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Earth | 3 | 12 | 12 | 22 / 28 | 6 | 22 | 22 | 12 | 12 | 22 | 12 | 22 |
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Water | 3 | 22 | 22 | 12 / 15 | 12 | 12 | 12 | 12 | 12 | 22 | 22 | 12 |
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Water | 3 | 41 | 41 | 41 / 50 | 0 | 32 | 32 | 32 | 12 | 32 | 66 | 32 |
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Air | 3 | 12 | 12 | 22 / 28 | 17 | 0 | 22 | 12 | 12 | 32 | 12 | 12 |
![]() |
Fire | 3 | 22 | 22 | 22 / 28 | 17 | 22 | 32 | 22 | 6 | 12 | 12 | 22 |
![]() |
Water | 3 | 12 | 12 | 12 / 15 | 6 | 12 | 12 | 32 | 6 | 12 | 22 | 12 |
![]() |
Fire | 3 | 12 | 12 | 12 / 15 | 17 | 22 | 12 | 12 | 6 | 12 | 12 | 17 |
![]() |
Earth | 3 | 12 | 12 | 12 / 15 | 6 | 12 | 12 | 12 | 0 | 12 | 12 | 12 |
![]() |
Water | 3 | 22 | 22 | 22 / 28 | 22 | 22 | 22 | 22 | 27 | 22 | 27 | 27 |
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Fire | 4 | 0 | 0 | 0 / 0 | 10 | 10 | 19 | - | - | 0 | 0 | 0 |
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Fire | 4 | 10 | 10 | 10 / 14 | 10 | 19 | 10 | - | - | 10 | 10 | 10 |
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Air | 4 | 19 | 19 | 19 / 27 | 19 | 19 | 19 | - | - | 19 | 19 | 19 |
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Water | 4 | 10 | 10 | 19 / 27 | 10 | 10 | 10 | - | - | 19 | 19 | 10 |
![]() |
Air | 4 | 10 | 19 | 10 / 14 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Fire | 4 | 10 | 10 | 10 / 14 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Fire | 4 | 10 | 10 | 10 / 14 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Fire | 4 | 10 | 10 | 10 / 14 | 19 | 10 | 10 | - | - | 19 | 10 | 19 |
![]() |
Earth | 4 | 19 | 19 | 19 / 27 | 19 | 19 | 19 | - | - | 19 | 19 | 19 |
![]() |
Water | 4 | 19 | 10 | 10 / 14 | 0 | 0 | 0 | - | - | 10 | 19 | 10 |
![]() |
Earth | 4 | 19 | 19 | 19 / 27 | 19 | 19 | 19 | - | - | 10 | 10 | 19 |
![]() |
Fire | 4 | 10 | 10 | 10 / 14 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Earth | 4 | 10 | 10 | 10 / 14 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Earth | 4 | 19 | 19 | 19 / 27 | 19 | 19 | 19 | - | - | 19 | 19 | 19 |
![]() |
Water | 4 | 19 | 19 | 19 / 27 | 19 | 19 | 19 | - | - | 19 | 19 | 19 |
![]() |
Air | 5 | - | 0 | 14 / 26 | 0 | 16 | 0 | - | - | 12 | - | 16 |
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Air | 5 | - | 20 | 14 / 26 | 16 | 16 | 16 | - | - | 13 | - | 16 |
![]() |
Earth | 5 | - | 16 | 14 / 26 | 16 | 16 | 12 | - | - | 12 | - | 16 |
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Fire | 5 | - | 0 | 0 / 0 | 16 | 0 | 12 | - | - | 12 | - | 0 |
![]() |
Air | 5 | - | 16 | 16 / 29 | 16 | 16 | 12 | - | - | 13 | - | 20 |
![]() |
Earth | 5 | - | 16 | 14 / 26 | 16 | 20 | 12 | - | - | 13 | - | 16 |
![]() |
Air | 5 | - | 16 | 14 / 26 | 0 | 0 | 12 | - | - | 13 | - | 16 |
![]() |
Fire | 5 | - | 0 | 0 / 0 | 20 | 16 | 12 | - | - | 0 | - | 0 |
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Water | 5 | - | 16 | 14 / 26 | 0 | 0 | 12 | - | - | 12 | - | 0 |
Spell Slot Probabilities
Spell Slot Probabilities
The values in this table are the probabilities of a single spell slot containing the given spell. These are percentages based on the values stored in the game files.
School | Level | ![]() |
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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Water | 1 | 10 | 5 | 5 | 0 | 0 | 3 | 3 | 5 | 5 | 10 | 3 |
![]() |
Fire | 1 | 0 | 0 | 0 | 10 | 5 | 5 | 10 | 5 | 5 | 5 | 5 |
![]() |
Water | 1 | 10 | 10 | 5 | 5 | 0 | 5 | 5 | 10 | 5 | 5 | 5 |
![]() |
Fire | 1 | 0 | 0 | 3 | 5 | 10 | 5 | 0 | 0 | 0 | 0 | 0 |
![]() |
Water | 1 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
![]() |
Air | 1 | 5 | 10 | 5 | 5 | 5 | 10 | 5 | 10 | 10 | 10 | 10 |
![]() |
All | 1 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
![]() |
Fire | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
![]() |
Water | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
![]() |
Earth | 1 | 10 | 3 | 5 | 3 | 10 | 5 | 5 | 5 | 5 | 3 | 5 |
![]() |
Earth | 1 | 5 | 10 | 10 | 10 | 5 | 5 | 5 | 5 | 10 | 5 | 5 |
![]() |
Earth | 1 | 5 | 5 | 10 | 5 | 10 | 5 | 10 | 5 | 5 | 5 | 10 |
![]() |
Water | 1 | 3 | 5 | 5 | 5 | 3 | 5 | 5 | 3 | 3 | 5 | 5 |
![]() |
Air | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
![]() |
Earth | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
![]() |
Fire | 2 | 4 | 6 | 2 | 12 | 4 | 4 | 4 | 6 | 8 | 0 | 8 |
![]() |
Earth | 2 | 0 | 0 | 0 | 0 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
![]() |
Air | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 0 | 2 | 2 | 2 |
![]() |
Air | 2 | 6 | 4 | 6 | 12 | 4 | 6 | 6 | 6 | 8 | 4 | 4 |
![]() |
Fire | 2 | 4 | 4 | 4 | 12 | 4 | 4 | 4 | 4 | 8 | 4 | 4 |
![]() |
Air | 2 | 4 | 6 | 4 | 4 | 2 | 2 | 4 | 4 | 2 | 4 | 2 |
![]() |
Water | 2 | 50 | 50 | 6 | 0 | 6 | 6 | 4 | 50 | 25 | 50 | 4 |
![]() |
Air | 2 | 4 | 4 | 50 | 20 | 6 | 50 | 50 | 4 | 25 | 4 | 50 |
![]() |
Air | 2 | 6 | 6 | 4 | 8 | 2 | 6 | 4 | 4 | 2 | 4 | 6 |
![]() |
Air | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
![]() |
Earth | 2 | 4 | 4 | 6 | 4 | 4 | 4 | 6 | 6 | 4 | 4 | 4 |
![]() |
Water | 2 | 4 | 4 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
![]() |
Water | 2 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 4 |
![]() |
All | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
![]() |
Water | 2 | 2 | 2 | 2 | 8 | 4 | 4 | 4 | 4 | 4 | 8 | 4 |
![]() |
Air | 3 | 4 | 8 | 8 | 2 | 4 | 4 | 8 | 4 | 4 | 2 | 8 |
![]() |
Earth | 3 | 0 | 0 | 0 | 0 | 16 | 0 | 0 | 0 | 0 | 0 | 0 |
![]() |
Earth | 3 | 12 | 8 | 8 | 4 | 8 | 8 | 12 | 10 | 12 | 10 | 8 |
![]() |
Air | 3 | 12 | 8 | 8 | 2 | 0 | 4 | 4 | 2 | 4 | 2 | 4 |
![]() |
Earth | 3 | 4 | 8 | 4 | 6 | 4 | 4 | 4 | 50 | 4 | 8 | 8 |
![]() |
Fire | 3 | 8 | 8 | 8 | 50 | 12 | 16 | 12 | 2 | 12 | 2 | 12 |
![]() |
Earth | 3 | 4 | 4 | 8 | 2 | 8 | 8 | 4 | 4 | 8 | 4 | 8 |
![]() |
Water | 3 | 8 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 4 |
![]() |
Water | 3 | 16 | 16 | 16 | 0 | 12 | 12 | 12 | 4 | 12 | 30 | 12 |
![]() |
Air | 3 | 4 | 4 | 8 | 6 | 0 | 8 | 4 | 4 | 12 | 4 | 4 |
![]() |
Fire | 3 | 8 | 8 | 8 | 6 | 8 | 12 | 8 | 2 | 4 | 4 | 8 |
![]() |
Water | 3 | 4 | 4 | 4 | 2 | 4 | 4 | 12 | 2 | 4 | 8 | 4 |
![]() |
Fire | 3 | 4 | 4 | 4 | 6 | 8 | 4 | 4 | 2 | 4 | 4 | 6 |
![]() |
Earth | 3 | 4 | 4 | 4 | 2 | 4 | 4 | 4 | 0 | 4 | 4 | 4 |
![]() |
Water | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 10 | 8 | 10 | 10 |
![]() |
Fire | 4 | 0 | 0 | 0 | 5 | 5 | 10 | - | - | 0 | 0 | 0 |
![]() |
Fire | 4 | 5 | 5 | 5 | 5 | 10 | 5 | - | - | 5 | 5 | 5 |
![]() |
Air | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Water | 4 | 5 | 5 | 10 | 5 | 5 | 5 | - | - | 10 | 10 | 5 |
![]() |
Air | 4 | 5 | 10 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
![]() |
Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
![]() |
Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
![]() |
Fire | 4 | 5 | 5 | 5 | 10 | 5 | 5 | - | - | 10 | 5 | 10 |
![]() |
Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Water | 4 | 10 | 5 | 5 | 0 | 0 | 0 | - | - | 5 | 10 | 5 |
![]() |
Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 5 | 5 | 10 |
![]() |
Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
![]() |
Earth | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
![]() |
Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Water | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
![]() |
Air | 5 | - | 0 | 14 | 0 | 16 | 0 | - | - | 12 | - | 16 |
![]() |
Air | 5 | - | 20 | 14 | 16 | 16 | 16 | - | - | 13 | - | 16 |
![]() |
Earth | 5 | - | 16 | 14 | 16 | 16 | 12 | - | - | 12 | - | 16 |
![]() |
Fire | 5 | - | 0 | 0 | 16 | 0 | 12 | - | - | 12 | - | 0 |
![]() |
Air | 5 | - | 16 | 16 | 16 | 16 | 12 | - | - | 13 | - | 20 |
![]() |
Earth | 5 | - | 16 | 14 | 16 | 20 | 12 | - | - | 13 | - | 16 |
![]() |
Air | 5 | - | 16 | 14 | 0 | 0 | 12 | - | - | 13 | - | 16 |
![]() |
Fire | 5 | - | 0 | 0 | 20 | 16 | 12 | - | - | 0 | - | 0 |
![]() |
Water | 5 | - | 16 | 14 | 0 | 0 | 12 | - | - | 12 | - | 0 |