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The chance of a Pokemon received from an in-game trade being shiny is the same as the chance of capturing a shiny Pokemon in the wild.
You have to be VEEEEEEERY patient - the chance of a Pokemon being shiny is 1/8192
In the 2nd generation games (Gold/Silver/Crystal), the offspring will have a 1/64 chance of being shiny. In later generation games, the chance of getting a shiny offspring is the same as encountering a wild shiny Pokemon.
Ralts does not exist in Pokemon Gold/Silver/Crystal. It was added with Ruby and Sapphire. If you're referring to HeartGold version, Ralts can be found on Route 34, but encountering a shiny Pokemon is a 1/8,192 chance, so it could take weeks to months. If you use the Masuda method and breed your Ralts with a Pokemon from a different country the chance of the Ralts that hatches will be increased to a 1/1638 chance of being shiny!
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