4.70 Education and income.

Call a household prosperous if its income exceeds $100,000. Call the household educated if at least one of the householders completed college. Select an American household at random, and let be the event that the selected household is prosperous and the event that it is educated. According to the Current Population Survey, , , and the probability that a household is both prosperous and educated is . What is the probability that the household selected is either prosperous or educated?