In a certain city, 30% of the people are Conservatives, 50% are Liberals, and 20% are Independents.

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In a certain city, 30% of the people are Conservatives, 50% are Liberals, and 20% are Independents. In a given election, 2/3 of the Conservatives voted, 80% of the Liberals voted, and 50% of the Independents voted. If we pick a voter at random what is the probability that she is Liberal?

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