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In Pokemon gold, silver, and crystal, the chances are 1/8192. However, if bred correctly, the chance for an egg is 1/64.

In Generation III, most of the data structures were redone. As such, a Pokémon's shininess would no longer need to be linked to its stats due to incompatibilities between the Generation III games and previous generations. The determinant for shininess is instead a calculation based on the Trainer ID number of the player encountering it and the personality value of the Pokémon. The secret ID and trainer ID bytewords are first xored together, and then the first byteword of the personality value is xored with the second byteword of the personality value. If the xor of these two results is less than eight, then the Pokémon is shiny. This results in a probability of 1 in 8192 (8/65536), just as in Generation II. Symbolically:

(Trainer ID) xor (Secret ID) = E

(First byteword of personality value) xor (Second byteword of personality value) = F

If E xor F is less than eight, then the Pokémon is shiny.

In Trainer Tower in Pokémon FireRed and LeafGreen there are two trainers which have shiny Pokémon. In the single battle mode, the seventh trainer has a shiny Meowth, while in double battle mode, the first pair of trainers have a shiny Espeon.

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