Jury selection began Tuesday at a federal trial in Chicago that could offer an inside look at pay-to-play politics in Illinois that prosecutors say involved the state’s largest electric utility and one of its most powerful politicians at the time.The four defendants are accused of arranging contracts, jobs and money for associates of then-Illinois House Speaker Michael Madigan, who for decades was one of the most powerful legislators in the U.S. Prosecutors say the goal was to curry favor with Madigan to ensure …