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In a certain town, 20% of the people are Conservatives; and 30% Socialists; and 50% Liberals. In this town the last election, 60% of Conservatives

In a certain town, 20% of the people are Conservatives; and 30% Socialists; and 50% Liberals. In this town the last election, 60% of Conservatives voted, 79% of the Socialists voted, and 50% of the Liberals voted. A person from the town is selected at random and states that she voted at the last election. What is the probability that she is a socialist?

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