Sniper

Sniper is a perk in Fallout, Fallout 2, Fallout 3, Fallout: New Vegas, Fallout 4, J.E. Sawyer's Fallout Role-Playing Game and Fallout Tactics: Brotherhood of Steel.

Fallout, Fallout 2 and Fallout Tactics
You have mastered the firearm as a source of pain. With this perk, any successful hit in combat with a ranged weapon will be upgraded to a critical hit if you also make a Luck roll. It adds another Luck roll of (10*Luck). 10 LK means every hit is automatically a critical hit.

Fallout 3, Fallout: New Vegas
With the Sniper perk, your chance to hit an opponent’s head in V.A.T.S. is increased by 25%. As with most perks that increase your chance to hit in V.A.T.S. this bonus is multiplicative, not additive. For example, if you had a 50% chance to hit an enemy's head without the perk, you would have a 62.5% chance with the perk. In Fallout: New Vegas this perk is useful for counter-acting the Fast Shot trait.

Bugs
While sneaking, the combination of the first rank of Sniper and wearing armor with Stabilization mods on both arms is enough to stop virtually all sway when looking down a sniper scope. However this may stop working. The bug may be tied to obtaining the Cloak & Dagger perk from Deacon. Using the console to first remove each level of the Sniper perk and then reapply them may fix the issue. For someone with all 3 ranks in Sniper, the commands run after opening the console with ~ would be:
 * (removes 3rd rank)
 * (removes 2nd rank)
 * (removes 1st rank)
 * (adds 1st rank)
 * (adds 2nd rank)
 * (adds 3rd rank)

J.E. Sawyer's Fallout Role-Playing Game
You don't waste bullets on flesh wounds. When using firearms, your successful attack rolls are increased by 30 for purposes of determining critical hit results.

Bugs
In Fallout Tactics, version 1.27 does not produce the advertised result of the Sniper perk. The perk is obtainable but appears to be bugged (tests with 10 LK have failed to produce any noticeable increase in critical strike rate, which should produce a 100% critical strike rate with 10 LK and the Sniper perk).

Gallery
Heckenschütze Francotirador Snajper Снайпер