Question: what are the chances of finding a shiny legendary pokemon?
Answer: 2014's Pokémon X/Y cut the base odds from 1 in 8,092 to 1 in 4,096. The Shiny Charm and Masuda Method still add the same number of chances for a Pokémon to be shiny, so if you have a charm and you are soft-resetting — resetting the game without saving — to find a shiny legendary, your odds are 1 in 1,365.