By the way, here is a little pro tip that I picked somewhere online when using a hole saw in general.  A couple of relief holes around the perimeter (waste side) of where the hole saw is cutting will often result in cleaner holes and easier cutting.  If you are cutting for a hole, the relief holes are just inside the perimeter.  If cutting disks, just outside.  You want the relief hole to just make contact with the waste side of the cut. The bigger the hole saw the more relief hole to pre-drill.  Usually 1 to 3 1/4" holes are enough.  Since hole saws do not pull saw dust out of the kerf very well, especially on really thick pieces, the hole gives the saw dust a place to go and makes for cleaner cuts with less chance of burning or just overheating the hole saw which can ruin them.  I have found that the cuts go twice a fast when I take the time to do this.  

--Nathan, TX. Hire the lazy man. He may not do as much work but that's because he will find a better way.