I see several estimates that 90+% of the numbers are going to be picked by someone this draw (maybe as high as 98%). Someone holding all the possible tickets combinations would almost always have to share the prize, perhaps even a three or more way chop.
If the odds of winning the big prize are just under 300,000,000 to one, then that is how many possible combinations there are. Figure the group buy would cost $600,000,000.
You would get a tax shield for the costs, so if you were the sole winner the group buy would be profitable in theory. In practice there are profound management problems. You would need to invent a mechanical way to print the ticket slips (because we aren't filling out 300 million of those by hand!). There is always the risk that the system breaks down and you miss some of the combinations. Given 300 million chances to make mistakes, you have to accept there will be some chance your group buy will have holes in it. And after the drawing someone will need to sort through all 60 million play slips. each with 5 numbers and pick out all the winning ones - there will be ~12 million winning numbers. Even the dinky $4 winners total to something like 30 million dollars.
So not an easy task at all. Raise $600,000,000 in short order. Print a drawing slip for every combination. Take them all over the country to get them processed by the drawing deadline. Hope you don't make a terrible mistake. Then sort through all the tickets to cash the winning ones. Oh - and avoid getting chopped.
Good luck! -=- DrStrange