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Q: What about the demo? When is the demo coming out? I want to play!

A: We understand that it will be released this Friday, June 10th. The precise time is unknown, but it will probably be around 12 noon Pacific Time. As with previous Battlefield demos, it will contain one map. No, we don't know which map it will be.

http://pc.ign.com/articles/623/623617p1.html