A municipal bond service has three rating categories$($A$,$ B$,$ and$$ C$).$ Suppose that in the past$$ year, of the municipal bonds issued thoughout a$$ country, $60\%$ were rated$$ A$,10\%$ were rated$$ B$,$ and $30\%$ were rated C$.$ Of the municipal bonds rated$$ A$,50\%$ were issued by$$ cities, $10\%$ by$$ suburbs, and $40\%$ by rural areas. Of the municipal bonds rated$$ B$,40\%$ were issued by$$ cities, $40\%$ by$$ suburbs, and $20\%$ by rural areas. Of the municipal bonds rated$$ C$,90\%$ were issued by$$ cities, $5\%$ by$$ suburbs, and $5\%$ by rural areas.