. in a city, a house can only belong to one of three counties, with 20% of the houses in the first county, 30% in the second and 50% in the third. a garage is attached to 70% of the houses in the first county, 80% of those in the second county and 90% of those in the third one. what is the probability that a house belongs to the second county, knowing that it has a garage attached to it? assume event a: a house belongs to the first county; event b: a house belongs to the second; event c: a house belongs to the third; event g: a house has an attached garage.