Recent national elections suggest that the political ideology of adults in the United States is very evenly divided. In a USA Today/Gallup survey, 29% were Republicans, 30% were Democrats, and 41% were Independents. In addition, 51% of all Republicans, 16% of all Democrats, and 28% of all Independents describe their political views as conservative. Suppose an adult in the United States is selected at random.

(a) What is the probability (± 0.0001) that the adult is a Republican and describes her political views as conservative?

P(R∩C) =
(b) What is the probability (± 0.0001) that the adult is a Democrat and describes his political views as conservative?
P(D∩C) =
(c) Suppose the adult described his views as conservative.
What is the probability (± 0.0001) that he is an Independent?
P(I|C) =