Paul wants to play quarterback, but that decision depends on who coaches for a given game. Coach Smith is coach 60 percent of the time, and Coach Brown is coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?