Call 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 current population survey, p(a)=0.138, p(b)=0.261, and the probability that a household is both prosperous and educated is p(a and b)=0.082. what is the probability p(a or b) that the household selected is either prosperous or educated?