A question that takes place in a bitcoinized world

Banal question: in a hyperbitcoinized world, is there a lottery like we see here?

You know the ones. The people who don't save, but throw their spare change into lotteries and place the picks.

Is that typical fiat behavior, so you can observe that behavior in a bitcoin standard?

This is just one special case, but I think the majority of lotto participants will fall away if they become bitcoiners.

That's debatable, so from there... what do you guys think of how that would look?