Template:Spell probability table: Difference between revisions
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add description of how total spell probability is calculated for a given town's mage guild |
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==Spell probabilities== | ==Spell probabilities== | ||
* '''NOTE:''' The values in this table are the probabilities of a single spell slot containing the given spell. | |||
** The formula is close to 1-(x/100)<sup>y</sup>, where x is the value in this 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). | |||
** 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-(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-(x/(100-z<sub>1</sub>-z<sub>2</sub>-z<sub>3</sub>...)) | |||
** NOTE: If a spell ''could'' appear multiple times, the formula for every slot would be 1-(x/100). | |||
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Revision as of 21:16, 25 January 2024
Spell probabilities
- NOTE: The values in this table are the probabilities of a single spell slot containing the given spell.
- The formula is close to 1-(x/100)y, where x is the value in this 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).
- 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-(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-(x/(100-z1-z2-z3...))
- NOTE: If a spell could appear multiple times, the formula for every slot would be 1-(x/100).
| Spell | School | Level | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |