Because of the payout model (all and only winning tickets split a fixed prize) the EV for buying multiple randomly distributed tickets and uniformly distributed

Because of the payout model (all and only winning tickets split a fixed prize) the EV for buying multiple randomly distributed tickets and uniformly distributed tickets aren't the same. Consider if you were the only one playing a lottery with 100 combinations. If a ticket costs $1 and the jackpot is $100 one random ticket has an EV of $1. However if you buy 100 random tickets on average you'll only cover about 64 numbers, so your EV per ticket is just $.64, whereas if you buy uniformly distributed tickets the EV is constant up to the number of combinations. If you imagine raising the prize to $200 and that two people are playing this lottery and one buys 100 random tickets and the other buys every combination the random player has about a 36% of getting nothing, and will share the jackpot the remainder of the time. Overall the uniform player has an expectation that's almost twice as high as the random player, and makes a pretty strong case for buying every ticket if you're the only one that does it. It falls apart if you have to compete against another uniform player.