So I am currently playing Pokémon Sun version and am attempting to collect a ditto with perfect IVs. I’m using the SOS battle method with an Alola raticate that knows hidden power. It has only one resistance which is dark type because I know a hidden power from a Pokémon with perfect IVs is a dark move. So I’m calling any ditto using a hidden power (dark) a pseudo perfect ditto. Only after I check it in the computer do I know if it’s truly perfect.
So my question is this. Given that every ditto caught is guaranteed to have at least 4 perfect IVs and guaranteed to have a dark type hidden power, what is the possibility space? How many pseudoperfect ditto can I expect on average to catch in order to find a true perfect ditto?