So who do people think is going to be the first to die, from the core group of characters? My guess is Travis's ex-wife, Alicia, mostly because it's going to heighten the tension between Travis and his son Chris and it will complicate the relationship between Travis and Madison.
The daughter. She'll die near the end of the season. The drug addict is zombie-proof right now and probably for the majority of the show. The dad they'll kill off in like season 3 and it'll be very sad. The mom is going to be the main character and will probably becomes strong-willed after she has a mental breakdown over her daughter dying.
The barber's family is all going to die in the next few episodes probably. He'll be really depressed and try to kill himself, but Travis will convince him to not go through with it.
Those are my predictions after watching TWD for like 4 years.