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

In a certain city, 30% of the people are Conservatives, 50% are Liberals, and 20% are Independents. Records show that in the last election 65% of Conservatives voted, 82% of Liberals voted, and 50% of Independents voted. (a) What is the probability that a randomly selected person from this city voted in the last election? (b) What is the conditional probability that a randomly selected person from this city is Conservative, given that they voted in the last election?

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