Right. Almost always one will get the hint, give up and run for the hills. Some hang in there too long.
I haven't raised games so I can't say how determined they are, but most DP, egg and meat breeds will come to some understanding before death.
I wouldn't count on it with raccoons.
One time I trapped and killed a raccoon, the next night raccoons broke into my basement and killed all the chicks in the brooder.