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In a certain town, 30% of the people are Conservatives; 50% Socialists; and 20% Liberals. In this town at the last election, 65% of Conservatives

In a certain town, 30% of the people are Conservatives; 50% Socialists; and 20% Liberals. In this town at the last election, 65% of Conservatives voted, 82% 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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