Disclaimer: I've never played the lottery. But I've been thinking for some time whether you can edge your bets. Same with stock trading (assuming you are an average Joe).
The answer, in both cases, is no. Stock market is a random walk, and after 1-2 months of heavy trading, you'll probably be either in the red, or in the green, for a very long time, according to the arcsine law
With the lottery, edging is almost impossible. But you can play unusual number series, such as 1-3-5-7-9-10-13. In case this combination wins the jackpot, it won't be shared with anybody else. And despite the fact that 1-3-5-7-9-10-13 does not seem as random as (say) 9-17-20-23-28-39-43, both series have exactly the same chance to win.
There is maybe one way to leverage the lottery: create your own lottery, and sell the same numbers as the official lottery, for 50% of the price. You should be able to make a profit, if you operate with higher efficiency than public / state lotteries.