According to a survey of American households, the probability that the residents own 2 cars, given annual household income is over $250,000, is 90%. Of the households surveyed, 60% had incomes over $250,000 and 70% had 2 cars. What is the probability that the residents of a household have an income less $250,000 a year, given that they own 2 cars? Please show your working.
(A) 0.2286
(B) 0.2857
(C) 0.7143
(D) 0.7714
(E) 0.8571