Just using climo tracks a storm at Lee's position has about a 25% chance of hitting land anywhere in the US at any intensity, dropping to about 15% for a hurricane, and 10% for a major.
If you want to talk CT specifically, 5% chance of hitting at any intensity.
The interesting thing is that the probabilities of a New England landfall of any intensity don't start to increase about 10-15% until a storm is near the coast north of HAT. Also the old adage at BOX was that they don't worry about a tropical system until it's in the Bahamas, and there is a little pocket of 20% north of the Bahamas. I would say a 1 out of 5 chance of a landfall 3-4 days away is a good time to start the briefings.