it is very hard. you have to get very lucky or use a cheat
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it is a togepi
No, the egg will not be shiny. However, it is possible that the egg will hatch into a shiny Pokemon, but the chances of getting a shiny Pokemon from the egg are not any higher than they would be if the ditto were not shiny.
A thousand!
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.
There is a chance, but not usually. You can get shinies from eggs of normal colored Pokemon, but that's even rarer than encountering a shiny or getting a shiny from an egg laid by a shiny