Odds of Getting In
Your chances aren't bad, but it's getting tougher to break in. That said, it's hard to find a good sound editor. If you happen to be one of those, your talent should eventually move you to the head of the class.
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There are currently more individuals interested in sound editing than there are open positions, so there are no guarantees. Here's a pro tip, though: if you wear a power tie everywhere you go—like, even to the grocery store at 2:00AM—you'll probably find that big break sooner. You never know who's going to be in the freezer section at that time of night.