Why Condorcet Jury Theorem is faulty in collective decision making?

This is a summary of the article by David Austin-smith and Jeffrey S.Banks, Information Aggregation, Rationality, and the Condorcet Jury Theorem (see reference at the bottom). We were encouraged to read it before Monday’s course. Of course I had a painful time reading it and the summary may not accurately convey the article’s intention. What is Condorcet Jury theorem? The Condorcet Jury theorem states that under certain conditions, the probability