Template:Spell probability table

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
Bless	Water	1	41	23	23 / 26	0	0	14	14	23	23	41	14
Bloodlust	Fire	1	0	0	0 / 0	41	23	23	41	23	23	23	23
Cure	Water	1	41	41	23 / 26	23	0	23	23	41	23	23	23
Curse	Fire	1	0	0	14 / 17	23	41	23	0	0	0	0	0
Dispel	Water	1	41	41	41 / 47	41	41	41	41	41	41	41	41
Haste	Air	1	23	41	23 / 26	23	23	41	23	41	41	41	41
Magic Arrow	All	1	83	83	83 / 88	83	83	83	83	83	83	83	83
Protection from Fire	Fire	1	14	14	14 / 17	14	14	14	14	14	14	14	14
Protection from Water	Water	1	14	14	14 / 17	14	14	14	14	14	14	14	14
Shield	Earth	1	41	14	23 / 26	14	41	23	23	23	23	14	23
Slow	Earth	1	23	41	41 / 47	41	23	23	23	23	41	23	23
Stone Skin	Earth	1	23	23	41 / 47	23	41	23	41	23	23	23	41
Summon Boat	Water	1	14	23	23 / 26	23	14	23	23	14	14	23	23
View Air	Air	1	14	14	14 / 17	14	14	14	14	14	14	14	14
View Earth	Earth	1	14	14	14 / 17	14	14	14	14	14	14	14	14
Blind	Fire	2	15	22	8 / 10	40	15	15	15	22	28	0	28
Death Ripple	Earth	2	0	0	0 / 0	0	94	0	0	0	0	0	0
Disguise	Air	2	8	8	8 / 10	15	8	8	8	0	8	8	8
Disrupting Ray	Air	2	22	15	22 / 27	40	15	22	22	22	28	15	15
Fire Wall	Fire	2	15	15	15 / 18	40	15	15	15	15	28	15	15
Fortune	Air	2	15	22	15 / 18	15	8	8	15	15	8	15	8
Ice Bolt	Water	2	94	94	22 / 27	0	22	22	15	94	68	94	15
Lightning Bolt	Air	2	15	15	94 / 97	59	22	94	94	15	68	15	94
Precision	Air	2	22	22	15 / 18	28	8	22	15	15	8	15	22
Protection from Air	Air	2	8	8	8 / 10	15	8	8	8	8	8	8	8
Quicksand	Earth	2	15	15	22 / 27	15	15	15	22	22	15	15	15
Remove Obstacle	Water	2	15	15	22 / 27	15	15	15	15	15	15	15	15
Scuttle Boat	Water	2	22	15	15 / 18	15	15	15	15	15	15	28	15
Visions	All	2	8	8	8 / 10	15	8	8	8	8	8	8	8
Weakness	Water	2	8	8	8 / 10	28	15	15	15	15	15	28	15
Air Shield	Air	3	12	22	22 / 28	6	12	12	22	12	12	6	22
Animate Dead	Earth	3	0	0	0 / 0	0	41	0	0	0	0	0	0
Anti-Magic	Earth	3	32	22	22 / 28	12	22	22	32	27	32	27	22
Destroy Undead	Air	3	32	22	22 / 28	6	0	12	12	6	12	6	12
Earthquake	Earth	3	12	22	12 / 15	17	12	12	12	88	12	22	22
Fireball	Fire	3	22	22	22 / 28	88	32	41	32	6	32	6	32
Force Field	Earth	3	12	12	22 / 28	6	22	22	12	12	22	12	22
Forgetfulness	Water	3	22	22	12 / 15	12	12	12	12	12	22	22	12
Frost Ring	Water	3	41	41	41 / 50	0	32	32	32	12	32	66	32
Hypnotize	Air	3	12	12	22 / 28	17	0	22	12	12	32	12	12
Land Mine	Fire	3	22	22	22 / 28	17	22	32	22	6	12	12	22
Mirth	Water	3	12	12	12 / 15	6	12	12	32	6	12	22	12
Misfortune	Fire	3	12	12	12 / 15	17	22	12	12	6	12	12	17
Protection from Earth	Earth	3	12	12	12 / 15	6	12	12	12	0	12	12	12
Teleport	Water	3	22	22	22 / 28	22	22	22	22	27	22	27	27
Armageddon	Fire	4	0	0	0 / 0	10	10	19	-	-	0	0	0
Berserk	Fire	4	10	10	10 / 14	10	19	10	-	-	10	10	10
Chain Lightning	Air	4	19	19	19 / 27	19	19	19	-	-	19	19	19
Clone	Water	4	10	10	19 / 27	10	10	10	-	-	19	19	10
Counterstrike	Air	4	10	19	10 / 14	10	10	10	-	-	10	10	10
Fire Shield	Fire	4	10	10	10 / 14	10	10	10	-	-	10	10	10
Frenzy	Fire	4	10	10	10 / 14	10	10	10	-	-	10	10	10
Inferno	Fire	4	10	10	10 / 14	19	10	10	-	-	19	10	19
Meteor Shower	Earth	4	19	19	19 / 27	19	19	19	-	-	19	19	19
Prayer	Water	4	19	10	10 / 14	0	0	0	-	-	10	19	10
Resurrection	Earth	4	19	19	19 / 27	19	19	19	-	-	10	10	19
Slayer	Fire	4	10	10	10 / 14	10	10	10	-	-	10	10	10
Sorrow	Earth	4	10	10	10 / 14	10	10	10	-	-	10	10	10
Town Portal	Earth	4	19	19	19 / 27	19	19	19	-	-	19	19	19
Water Walk	Water	4	19	19	19 / 27	19	19	19	-	-	19	19	19
Summon Air Elemental	Air	5	-	0	14 / 26	0	16	0	-	-	12	-	16
Dimension Door	Air	5	-	20	14 / 26	16	16	16	-	-	13	-	16
Summon Earth Elemental	Earth	5	-	16	14 / 26	16	16	12	-	-	12	-	16
Summon Fire Elemental	Fire	5	-	0	0 / 0	16	0	12	-	-	12	-	0
Fly	Air	5	-	16	16 / 29	16	16	12	-	-	13	-	20
Implosion	Earth	5	-	16	14 / 26	16	20	12	-	-	13	-	16
Magic Mirror	Air	5	-	16	14 / 26	0	0	12	-	-	13	-	16
Sacrifice	Fire	5	-	0	0 / 0	20	16	12	-	-	0	-	0
Summon Water Elemental	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
Bless	Water	1	10	5	5	0	0	3	3	5	5	10	3
Bloodlust	Fire	1	0	0	0	10	5	5	10	5	5	5	5
Cure	Water	1	10	10	5	5	0	5	5	10	5	5	5
Curse	Fire	1	0	0	3	5	10	5	0	0	0	0	0
Dispel	Water	1	10	10	10	10	10	10	10	10	10	10	10
Haste	Air	1	5	10	5	5	5	10	5	10	10	10	10
Magic Arrow	All	1	30	30	30	30	30	30	30	30	30	30	30
Protection from Fire	Fire	1	3	3	3	3	3	3	3	3	3	3	3
Protection from Water	Water	1	3	3	3	3	3	3	3	3	3	3	3
Shield	Earth	1	10	3	5	3	10	5	5	5	5	3	5
Slow	Earth	1	5	10	10	10	5	5	5	5	10	5	5
Stone Skin	Earth	1	5	5	10	5	10	5	10	5	5	5	10
Summon Boat	Water	1	3	5	5	5	3	5	5	3	3	5	5
View Air	Air	1	3	3	3	3	3	3	3	3	3	3	3
View Earth	Earth	1	3	3	3	3	3	3	3	3	3	3	3
Blind	Fire	2	4	6	2	12	4	4	4	6	8	0	8
Death Ripple	Earth	2	0	0	0	0	50	0	0	0	0	0	0
Disguise	Air	2	2	2	2	4	2	2	2	0	2	2	2
Disrupting Ray	Air	2	6	4	6	12	4	6	6	6	8	4	4
Fire Wall	Fire	2	4	4	4	12	4	4	4	4	8	4	4
Fortune	Air	2	4	6	4	4	2	2	4	4	2	4	2
Ice Bolt	Water	2	50	50	6	0	6	6	4	50	25	50	4
Lightning Bolt	Air	2	4	4	50	20	6	50	50	4	25	4	50
Precision	Air	2	6	6	4	8	2	6	4	4	2	4	6
Protection from Air	Air	2	2	2	2	4	2	2	2	2	2	2	2
Quicksand	Earth	2	4	4	6	4	4	4	6	6	4	4	4
Remove Obstacle	Water	2	4	4	6	4	4	4	4	4	4	4	4
Scuttle Boat	Water	2	6	4	4	4	4	4	4	4	4	8	4
Visions	All	2	2	2	2	4	2	2	2	2	2	2	2
Weakness	Water	2	2	2	2	8	4	4	4	4	4	8	4
Air Shield	Air	3	4	8	8	2	4	4	8	4	4	2	8
Animate Dead	Earth	3	0	0	0	0	16	0	0	0	0	0	0
Anti-Magic	Earth	3	12	8	8	4	8	8	12	10	12	10	8
Destroy Undead	Air	3	12	8	8	2	0	4	4	2	4	2	4
Earthquake	Earth	3	4	8	4	6	4	4	4	50	4	8	8
Fireball	Fire	3	8	8	8	50	12	16	12	2	12	2	12
Force Field	Earth	3	4	4	8	2	8	8	4	4	8	4	8
Forgetfulness	Water	3	8	8	4	4	4	4	4	4	8	8	4
Frost Ring	Water	3	16	16	16	0	12	12	12	4	12	30	12
Hypnotize	Air	3	4	4	8	6	0	8	4	4	12	4	4
Land Mine	Fire	3	8	8	8	6	8	12	8	2	4	4	8
Mirth	Water	3	4	4	4	2	4	4	12	2	4	8	4
Misfortune	Fire	3	4	4	4	6	8	4	4	2	4	4	6
Protection from Earth	Earth	3	4	4	4	2	4	4	4	0	4	4	4
Teleport	Water	3	8	8	8	8	8	8	8	10	8	10	10
Armageddon	Fire	4	0	0	0	5	5	10	-	-	0	0	0
Berserk	Fire	4	5	5	5	5	10	5	-	-	5	5	5
Chain Lightning	Air	4	10	10	10	10	10	10	-	-	10	10	10
Clone	Water	4	5	5	10	5	5	5	-	-	10	10	5
Counterstrike	Air	4	5	10	5	5	5	5	-	-	5	5	5
Fire Shield	Fire	4	5	5	5	5	5	5	-	-	5	5	5
Frenzy	Fire	4	5	5	5	5	5	5	-	-	5	5	5
Inferno	Fire	4	5	5	5	10	5	5	-	-	10	5	10
Meteor Shower	Earth	4	10	10	10	10	10	10	-	-	10	10	10
Prayer	Water	4	10	5	5	0	0	0	-	-	5	10	5
Resurrection	Earth	4	10	10	10	10	10	10	-	-	5	5	10
Slayer	Fire	4	5	5	5	5	5	5	-	-	5	5	5
Sorrow	Earth	4	5	5	5	5	5	5	-	-	5	5	5
Town Portal	Earth	4	10	10	10	10	10	10	-	-	10	10	10
Water Walk	Water	4	10	10	10	10	10	10	-	-	10	10	10
Summon Air Elemental	Air	5	-	0	14	0	16	0	-	-	12	-	16
Dimension Door	Air	5	-	20	14	16	16	16	-	-	13	-	16
Summon Earth Elemental	Earth	5	-	16	14	16	16	12	-	-	12	-	16
Summon Fire Elemental	Fire	5	-	0	0	16	0	12	-	-	12	-	0
Fly	Air	5	-	16	16	16	16	12	-	-	13	-	20
Implosion	Earth	5	-	16	14	16	20	12	-	-	13	-	16
Magic Mirror	Air	5	-	16	14	0	0	12	-	-	13	-	16
Sacrifice	Fire	5	-	0	0	20	16	12	-	-	0	-	0
Summon Water Elemental	Water	5	-	16	14	0	0	12	-	-	12	-	0