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*Its Attack IV is 2, 3, 6, 7, 10, 11, 14, or 15. | *Its Attack IV is 2, 3, 6, 7, 10, 11, 14, or 15. | ||
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 in Pokémon|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 {{eng|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>[http://wiki.pokemonspeedruns.com/index.php?title=Pokémon_Red/Blue_Wild_DVs Pokémon Red/Blue Wild DVs]</ref> | |||
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. | |||
' | Due to HP IV being calculated from the other IVs, a Shiny Pokémon's HP IV can only be 0 (if the Attack IV is even) or 8 (if the Attack IV is odd). Since 0 and 1 are not possible Attack IVs for a Shiny Pokémon, female Pokémon of {{cat|Pokémon with a gender ratio of seven males to one female|species with a seven male to one female ratio}} can never be Shiny in Generation II. | ||
;Example | |||
For two {{p|Sandshrew}} caught in [[Union Cave]] (Sandshrew A is Shiny, Sandshrew B is not Shiny): | For two {{p|Sandshrew}} caught in [[Union Cave]] (Sandshrew A is Shiny, Sandshrew B is not Shiny): | ||