According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars.
1. What is the probability that the residents of a household own 2 cars and have an income less than or equal to $50,000 a year?
2. What is the probability that the residents of a household do not own 2 cars and have income over $50,000 a year?
3. What is the probability that annual household income is over $50,000 if the residents of a household do not own 2 cars?
Please show work.
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