In Connecticut no one would be deemed at fault for an accident on private property.
If it had been on a public road then I probably would have ticketed you for failure to yield, and (if I could prove the other car was speeding) ticketed the other car for speeding. You would have been at fault.
Generally when someone pulling out says that the car that hit them was going too fast it is easy to prove they weren't just paying attention. Unless you are talking about a blind corner with no line of sight, there is always enough time to see an oncoming car if you are looking.
This happens all the time, and it takes me all of about ten seconds to show that the oncoming car would have had to have been traveling at 1000 miles an hour (or some other ridiculously high number) to have covered the distance in question in such a short period of time that you couldn't have avoided pulling out in front of them.
Cogito ergo summopere periculosus.
Fiat justitia, ruat coelum.