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In a given​ county, records show that of the registered​ voters, 50​% are​ Democrats, 35​% are​...

In a given​ county, records show that of the registered​ voters, 50​% are​ Democrats, 35​% are​ Republicans, and 15​% are Independents. In an​ election, 80​% of the​ Democrats, 40% of the​ Republicans, and 90​% of the Independents voted in favor of a parks and recreation bond proposal. If a registered voter chosen at random is found to have voted in favor of the​ bond, what is the probability that the voter is a​ Republican?

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