@wallhackio kind of yes, kind of no.
yes the average (expected value) number of shinies after x attempts is, but that's not the same as your number
your chances of actually seeing at least one after x attempts is either approximately 1/e or 1 - 1/e (i can't remember whether @aescling and i's calculations from april were for chance of not seeing a shiny or chance of seeing at least one shiny)
(1/e is the limit as x goes to infinity of.... whichever probability we were looking at, with the value for a given x monotonically decreasing as x increases)