If the chances are one in 8000 something, then how do some people get shiny legendaries if theres only one of each legendary pokemon(that is available in the certain game) example- I can only battle one ho-oh in hg, so its pretty much impossible to get a shiny sprite.... do the people who catch shiny legendaries use cheats?
Actually, it is possible to legitimately get a shiny legendary pokemon, it is a 1 in 8192 chance. But most people get them by saving before the battle, then continuously soft reset until they get a shiny, it can take TONS of resets though.