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In Generation II, several things aside from stats are also based on stats IVs. From [[Generation III]] onward, all of these except the [[type]] and [[power]] of {{m|Hidden Power}} are determined by other variables, such as the Pokémon's [[personality value]]. | In Generation II, several things aside from stats are also based on stats IVs. From [[Generation III]] onward, all of these except the [[type]] and [[power]] of {{m|Hidden Power}} are determined by other variables, such as the Pokémon's [[personality value]]. | ||
In Generation I, due to correlations between [[Pseudorandom number generation|pseudorandom numbers]], Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] have a limited pool of possible sets of IVs, with the exact pool of possible sets of IVs depending on the encounter rate of the location they were encountered. Most significantly, any Pokémon encountered in any of these ways cannot be {{Shiny}}. Conversely, [[Fishing]] encounters, [[gift Pokémon]] (including from | In Generation I, due to correlations between [[Pseudorandom number generation|pseudorandom numbers]], Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] have a limited pool of possible sets of IVs, with the exact pool of possible sets of IVs depending on the encounter rate of the location they were encountered. Most significantly, any Pokémon encountered in any of these ways cannot be {{Shiny}}. Conversely, [[Fishing]] encounters, [[gift Pokémon]] (including from [[Pokémon Stadium]]), stationary Pokémon (such as {{p|Snorlax}} and {{p|Mewtwo}}), and [[in-game trade]]s can have any set of IVs.<ref name="pokemonspeedruns">[http://wiki.pokemonspeedruns.com/index.php?title=Pokémon_Red/Blue_Wild_DVs Pokémon Red/Blue Wild DVs]</ref> | ||
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Normally, when the player encounters a Pokémon in the wild or receives a Pokémon as a gift in Generation II, all possible sets of IVs have an equal probability. Since there are 8 possible sets of IVs for Shiny Pokémon of the 65,536 distinct sets of IVs, there is a 1/8192 chance of a Pokémon being Shiny when its IVs are selected at random. This is the same probability of a wild Pokémon being Shiny in Generation III, IV, and V. | Normally, when the player encounters a Pokémon in the wild or receives a Pokémon as a gift in Generation II, all possible sets of IVs have an equal probability. Since there are 8 possible sets of IVs for Shiny Pokémon of the 65,536 distinct sets of IVs, there is a 1/8192 chance of a Pokémon being Shiny when its IVs are selected at random. This is the same probability of a wild Pokémon being Shiny in Generation III, IV, and V. | ||
Due to correlations between [[Pseudorandom number generation|pseudorandom numbers]] in the Generation I games, Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] cannot have a set of IVs that would allow them to be Shiny in Generation II. [[Fishing]] encounters, [[gift Pokémon]] (including from | Due to correlations between [[Pseudorandom number generation|pseudorandom numbers]] in the Generation I games, Pokémon encountered in those games in [[tall grass]], in [[cave tile|caves]], or by {{m|surf}}ing on [[water tile|water]] cannot have a set of IVs that would allow them to be Shiny in Generation II. [[Fishing]] encounters, [[gift Pokémon]] (including from [[Pokémon Stadium]]), stationary Pokémon (such as {{p|Snorlax}} and {{p|Mewtwo}}), and [[in-game trade]]s can have any set of IVs, so they always have the same 1/8192 chance of having a Shiny IV combination.<ref name="pokemonspeedruns"/> | ||
The [[Red Gyarados]] at the [[Lake of Rage]], which is guaranteed to be Shiny, has predetermined IVs, with an Attack IV of 14 and all other stats being 10, except HP which is 0. When {{pkmn|breeding}} Pokémon, because IVs are inherited from the Pokémon's parents, the probability of the bred Pokémon being Shiny is highly dependent on the parents' IVs. | The [[Red Gyarados]] at the [[Lake of Rage]], which is guaranteed to be Shiny, has predetermined IVs, with an Attack IV of 14 and all other stats being 10, except HP which is 0. When {{pkmn|breeding}} Pokémon, because IVs are inherited from the Pokémon's parents, the probability of the bred Pokémon being Shiny is highly dependent on the parents' IVs. | ||