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You will be fine, people do it all the time, just look around you after you board the plane. Maybe you will get lucky and see Alec Baldwin playing Words with Friends.
The biggest risk is TSA "security". They aren't always careful with your things, and some of their agents have had a particular fondness for iPads, so keep an eye on them and watch the watchers. ABC News has an article that lists top 20 airports for TSA theft based on the number of TSA employees fired for it - might want to keep an extra close watch if you are flying through Miami (29), JFK(27) or LAX(24).