Odds of Getting In
It's important to make yourself known early on. Volunteer, take the jobs that no one else wants, be flexible, be positive, get a degree, and brush up on your animal knowledge. Watch out for flying elbows from other aspiring zookeepers and be ready when you get the call.
Luckily, the need for zookeepers is predicted to grow over the next ten years, but that doesn't mean they will be handing out jobs like Halloween candy. Channel your inner animal, put on your khaki shirt and pants, and make it happen!