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Primary Statistics show how talented the character is in certain abilities. In the SPECIAL character system, there are 7 Primary Stats. Their first letter form the name of the system itself:
For humans, Primary Statistics cannot go below 1 or above 10 during creation. For other races (available only in Fallout Tactics), Primary Stats can go as high as 16. Each race or species has different minimum and maximum stat requirements. In Fallout and Fallout 2, the Primary Statistics cannot go below 1 or above 10 even with bonuses in game. In Fallout Tactics, bonuses from items can increase the statistics beyond their natural racial maximum.
In Fallout 3, the S.P.E.C.I.A.L system minimum is 1 and the maximum is 10, but it can be raised "invisibly". For example, if someone has 10 Agility and then finds the bobblehead for it, the Agility still stays at 10, but if there ever is a negative modifier--for example, Metal Armor (Ag -1)-- the Agility will stay at 10, because the it was technically 11.
For Fallout Tactics, each race has some points distributed already at character creation. It does not, however, really matter, as they can be subtracted and added to anyway. Generally, humans have 40 Character Points to distribute among their characteristics. The numbers for other races are 42 for ghouls, 40 for super mutants, 41 for deathclaws, 45 for humanoid robots, and only 35 for dogs. Races with more than 40 character points generally have slower Perk Rate.
The Primary Statistics define the base stats for all Derived Statistics. See fitting Category for more information.
How to raise S.P.E.C.I.A.L. values:
Fallout 1
You can get a doctor in the Brotherhood to perform operations on you to raise each of your stats (except luck) by 1, however it is really expensive. The Power Armor will also raise your strength by 3, so keep that in mind when creating your character.
Fallout 2
You can get a computer in the Brotherhood outpost in San Francisco to perform operations on you to raise each of your stats (except luck) by 1, however you need to find the associated memory modules. The Power Armor will also raise your strength by 3, so keep that in mind when creating your character.
Strength: Red memory module - found on the second level of the vault in vault city
Perception:
Endurance:
Charisma: Blue memory module - found in the enclave armory in navarro
Endurance:
Agility: