Is the lottery a sucker’s bet? Probably
Is it -EV? 99.999% of the time, absolutely.
-EV, for those that don’t know, is a gambling term that means negative expected value. One calculates this by determining the amount possible to win and dividing by the probability of winning it.
For instance, if I were to offer to bet you $2 to your $1 on a flip of a fair coin, you’d take that offer because it has a +EV of $1 per flip, when stretched out to infinity. Would you bet me $500 on the chance of winning $499? Probably not because, even though you stand to win a lot, is a lot it’s -EV to take that bet.
So if a lottery has a 1/140,000,000 chance of winning with the purchase of a ticket then to determine its EV you have to figure 1) the total jackpot, 2) the taxes or other fees that will be taken out when you win and 3) the liklihood of you split the jackpot with another winner or winners.
Most of the time you’re going to come up with a -ev situation. Almost every single time, I’d say.
BUT…and here’s the big thing. Lotteries are funny with how EV works. It’s true that, stretched out to infinity, you’ll never ever earn the money back you place into the lottery when done so in a -EV situation. BUT…human lives aren’t infinite. IF you win, you’re going to win more than you could have possibly put into the system trying. Heck say you put in an insane amount. $1,000 a week, every week, for 70 years. That’s still only $3.6 million and you’ll easily make that back winning just the bare minimum of a $15 million jackpot.
What I’m saying is this. People that choose not to play the lottery at all are not wrong. And people who use money they can’t afford to spend on lotteries as a means to gamble up a better life for themselves are clearly wrong. But there’s a shade of gray in between.
As for me, when the lottery gets above $100 million, I’ll throw in a buck or two and take my chances. I’m fully aware that it’s -EV and I’m fully aware of how unlikely it is that I’ll win. Nevertheless, I can afford to do so and I don’t believe I’m wrong in taking my chances.