What is the conditional probability

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1. Education and income. 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 be the event that the selected household is prosperous and 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(andB= 0.082. What is the  probability P(or Bthat the household selected is either prosperous or educated?

2. Find a conditional probability. In the setting of the previous exercise, what is the conditional probability that a household is prosperous, given that it is educated? Explain why your result shows that events and are not independent.

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