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In a city 30% of the houses and 60% of the condominiums use natural gas for heating. 65% of the residences in the city are

In a city 30% of the houses and 60% of the condominiums use natural gas for heating. 65% of the residences in the city are houses and the rest are condominiums.

a) If a residence is selected at random from this city, what is the probability it uses natural gas for heating?

b) If a residence uses natural gas for heating, what is the probability it is a condominium?

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