TwoRivers, I agree with you 100%. It can be frustrating when you apply for 20 years and don't draw a hunt, and then your friends girlfriend draws a hunt the first years she puts in. But that what random is...random. I drew 41 antelope twice on back to back years a while back, and talked to a guy who had been applying for 20 years and finally got it. I got dip$hit lucky, but as far as I know F&G doesn't love me so much that they handpicked me to draw it twice... With that said, I GUARANTEE you that some of those superhunts are handpicked. If I recall correctly, the ad in the regulations talks about the guy that applied for 1 supertag two seasons and drew it both times. Bull$hit. The odds of that happening are .00001%. It's an attempt to make the average sportsman feel like they can spend $20 and have a good chance at getting a tag, while there are guys out there spending $10000 on supertags and have 500 times better odds than the average hunter. An attempt to cover the fact that F&G is pimping tags to the highest bidders w/o actually auctioning the tags.
Anyways... to the original question, I believe your odds are the same either way. A single applicant gets one pull out of the hat, and a party app gets one pull out of the hat, regardless of the number of people on the app.