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Are lottery tickets ever a wise investment provided the jackpot is large enough?
Possibly, if you can get them at a discount. But not if you have to pay full price.  Say there's a $1 million Jackpot for $1 tickets. The seller might sell 1.25 million of these tickets, to raise $1.25 million pay a winner $1 million, and keep $250,000. In this example, the so-called "expected value" of your $1 ticket is $1 million/1.25 million tickets= 80 cents, which is less than $1. If someone were willing to "dump" his ticket for say, 50 cents, what you paid would be less than the expected value, and over enough "trials," you would make a profit. Warren Buffett used to say that he would never buy a lottery ticket, but would not refuse one given to him free. That's the ultimate "discount." Larger Jackpots would work on the same principle; you would lose money "on average" for buying a ticket. So it's not the size of the Jackpot but the size of the discount that determines whether or not it is worthwhile to buy a lottery ticket.