As far as I'm aware, the rates of getting a shiny with the PokeRadar haven't changed in X/Y. That's apparently around a 1 in 200 chance (0.5%), or at least it was in D/P/Pl
The rate of a Master Ball with all the boxes full of different trainer IDs is about 1 in 118.
The rate of a Master Ball with all the boxes full of different trainer IDs is about 1 in 118.