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Probably a lot more than you might think. I can hit a wedge with over 20° of bounce off the hardest hardpan.
Bounce is just one thing. The grind, the camber, the sole width matter too.
Lots of threads here about good pitching technique, including: Quickie Pitching Video - Golf Pitch Shot Technique and this one on bounce: My Edel Wedges (Or "Super Bounce and Why It's Good For You" or "The Sweet Spot is Finally in the Right Place!") .