How do you guys breed EEE horses? Do you pair PPP+ horses with eachother, or do you breed PPP+ horses with EEE horses? What works best?

The best thing you can do is breed EEP+ mares to leaderboard EEE stallions.

What if you only have like PPP and PEP mares? (and a couple PEE stallions)

You can work your way up with PPP and PEP mares it just takes a little longer. I'd geld the PEE stallions and show them. Then use this money to sent your mares to the best possible matches. Try to get proven studs meaing they have already produced some PEE+ combos. Use LB or ABLB studs if you can and/or use studs that match your mares well.

Very unlikely that you will get an EEE out of a PPP or a PEP though I have seen it happen with random factor before , EDIT; I have only gotten an EEE once in this game and it was a PEE that gave the EEE not a PPP/ PEP

OK, thanks everyone!

Ive breed PEPxPEE and got a PEE 3 times...so it really depends on the strength of the horses id say