Winners of the contest have a more than good chance of getting representation. It's good to enter contests, not just because you may win one, but because they force you to write short summaries and synopses, and to polish your first few pages until they shine. These are usually the only pages an agent will see before making a decision.
The contest deadline is December 31, 2016. CLICK HERE for more details.
For hundreds of free contests organized by month see: FREE CONTESTS.
For a huge list of agents looking for memoirs see: Mega-List of Agents Looking for Memoirs (and other Nonfiction)
From the GLA Website:
Welcome to the 28th (free!) “Dear Lucky Agent” Contest on the GLA blog. This is a FREE recurring online contest with agent judges and super-cool prizes. Here’s the deal: With every contest, the details are essentially the same, but the niche itself changes—meaning each contest is focused around a specific category or two. If you’re writing a memoir, then this 28th contest is for you! The contest is live through end of day, Saturday, Dec. 31, 2016. The contest is judged by agent Jennifer Wills of the The Seymour Agency.