Catch rate
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When a Poké Ball is thrown at a wild Pokémon, the game uses a formula based on the wild Pokémon's current health, any status effect it may have, and that Pokémon's catch rate, to determine the chances of catching that Pokémon. The formula is as follows:
Where:
- HPmax is the number of hit points the Pokémon has at full health,
- HPcurrent is the number of hit points the Pokémon has at the moment,
- rate is the catch rate of the Pokémon,
- bonusball is the multiplier for the Poké Ball used, and
- bonusstate is the multiplier for any status ailment the Pokémon has (2 for sleep and freeze, 1.5 for paralyze, poison and burn).
If a is greater than 255, then the Pokémon is caught. If not, then calculate b as follows:
Then generate 4 random numbers between 0 and 65535, inclusive. If the random numbers are all less than b, then the Pokémon is caught; otherwise the ball shakes n times, where n is the number of random numbers that are less than b.
