That thing about not buying tickets could possibly be why I haven't won, as well...
Mary, the plastic only goes partway up the cages (about 4 feet), and I usually take it off by the time the plants need much in the way of tending; I do have some tall stakes in the middle of each cage that I tie the plants to as they grow, but I can do that even with the plastic in place. The biggest problem I normally have is getting a lot of weeds growing around the plants, but this year I have a nice mulch of grass clippings on them already. Depending on how cool the weather stays, I might just cut the top foot or so of plastic off so I can reach inside better.