In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the people who live in houses, 25% own their own business. Of the people who live in apartments, 20% own their own business. If a person owns his or her own business, find the probability that he or she lives in a house. (Round your answer to two decimal places.)

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In a city, 60% of the residents live in houses and 40% of the residents live in apartments. Of the people who live in houses, 25% own their own business. Of the people who live in apartments, 20% own their own business. If a person owns his or her own business, find the probability that he or she lives in a house. (Round your answer to two decimal places.)

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Step 1

Let A denote the event residents live in houses

Let B denote the event that residents live in apartments

Let E denote the event that person owns his or her own business

Let E|A denote the event that person owns his or her own business given that lives in houses.

Let E|B denote the event that person owns his or her own business given that lives in apartments.

The given probabilities are,

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