PokéBase - Pokémon Q&A
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And if possible, add the percentage when Sniper and other similar abilities are in effect.

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In Generation I,

the formula for Critical Hits actually depended on a Pokemon's Base Speed Stat. The formula was

 BaseSpeed / 512

and if you used a move with a high critical hit ratio like Slash, the chance was multiplied by 8:

BaseSpeed / 64

In Generations II-V,

the formula for Critical Hits was based on a fixed rate for all Pokemon called Stages. Modifiers such as Dire Hit increase the stage that Pokemon is on by a certain number of stages.

Stage 0 - 6.25% chance
Stage 1 - 12.5% chance
Stage 2 - 25% chance
Stage 3 - 33.3% chance
Stage 4+ - 50% chance

Go here for more information.

 Stage (stae - guh)
 - A chance of a critical hit happening. All Pokemon start off at
 stage 0, or 6.25%.

In Generation VI,

the formula is exactly the same, but the stages have changed.

Stage 0 - 6.25% chance
Stage 1 - 12.5% chance
Stage 2 - 50% chance
Stage 3+ - 100% chance

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