PokéBase - Pokémon Q&A
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Without any items that raise your crit chance or using a move with an increased crit chance.

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In Generation 1, the probability of a critical hit is based on the user's speed.

In the Generation I core series games, the threshold is normally equal to half the user's base Speed. If the move used has a high critical-hit ratio (Crabhammer, Karate Chop, Razor Leaf, or Slash), the move is 8 times more likely to be a critical hit (up to a maximum of 255/256). If the Pokémon has used Focus Energy or a Dire Hit, due to a bug, the user is 1/4 as likely to land a critical hit.

For normal crit-ratio moves:
Normal status:
With Focus Energy:

Generatio II onwards:

The probability of landing a critical hit is no longer based on the attacker's base Speed, but rather is based on a fixed formula for all Pokémon. Similar to stats, there are temporary in-battle stages used to determine the probability that a particular move will be a critical hit.

Chance of critical hit
Gen II-VI Gen VII onward
1/16 (6.25%) 1/24 (~4.167%)

Therefore, the chance of a crit is 6.25% or 1/16 in Gen II-VI, and after Gen VII it's 4.167% or 1/24.

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Hope this helps!

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Gen 1
Critical hits are based on speed.
Gen 2 - 6
1/16 chance to land a critical hit
Gen 7 Onwards
1/24 chance to land a critical hit

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Hope this helps!

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You were too fast, unfortunately.