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Are lottery tickets ever a wise investment provided the jackpot is large enough?
Others have already explained why lotteries have negative expected value, so in that sense it is never wise to buy a lottery ticket.  I will provide an alternative view, that it is not always unwise to buy a lottery ticket even though the expected value of the lottery ticket is lower than its cost (i.e. a loss). The question is what you mean with "wise" A (not completely unlikely) scenario is one where your life (financially) suck, and even if you saved the cost of the ticket (instead of buying it) your life would still suck. Even if you saved the cost for a ticket every week for 10 years, your live would not be essentially better. You could maybe afford a TV, or a new car in 40 years, but if you were to quantify the happiness of your life it would still be essentially crappy. But winning the lottery would significantly improve your life and make you happy. So in this scenario there are two choices, either save the money for 0% chance of a happy life, or spend it on a ticket for a (extremely) small chance of a good life. Yes, the expected value of saving the money is higher than when buying the ticket, but "expected happiness" is higher when buying the ticket (non-zero).  This is clearly an extreme example, but variants of this might apply (the essence is that your valuation of the money is non-linear, 1 million will make you more than 1000 times as happy as 1000.)