all a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Census Bureau, P(A) = 0.131, P(B) = 0.257, and the probability that a household is both prosperous and educated is P(A and B) = 0.08. Draw a Venn diagram that shows the relation between events A and B.