If this way doesn't work, I will go the old fashion way and have 30 slots at $30 each, which would cover the cost of the case. Then do the random draft. And for $30 you get a 1 in 30 shot at the number one slot. It just seems to make more sense to me to buy a slot in Group 1 for more and have a 1 in 10 chance at the first pick instead.
If you want one of the top draft teams, then pick Group 1. If you want a mid draft team or your favorite team which has a decent checklist, then pick Group 2. If your team checklist is blah, then pick Group 3 and have a shot at your favorite team for a less money.
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