Headline: You Should Really Buy a Powerball Ticket TodayBullshit
The New York Powerball lottery is now up to $1.3B. The odds of winning the whole thing are 1 in 292,201,338, or 0.0000000034. With a payout of $1.3B, and an immediate payout of $804M, this makes the E(cost-winnings)=$0.74 ($2.74 for each $2 ticket).
If you can guarantee a single winner, which you can’t. We can't know precisely how many tickets will be sold for this round, but it's a pretty safe bet that it'll be a significant percentage of the ~292M possible values, so the probability of having multiple winners is non-trivial, almost certainly wiping out that $0.74 expectation.
But wait, don't forget about taxes. If you take a conservative estimate of 40% taxes, that also wipes out your expected earnings.
There's more analysis of the previous round here: http://www.businessinsider.com/powerball-lottery-expected-value-2016-1
-- I've skipped some details, such as the smaller payouts and annuity vs. lump sum payments. But it should be clear from the rough numbers above that there's not a snowball's chance in hell that you'll make money from the lottery, on average, even at a $1.3B payout.
The only way to win is not to play.