OK , yes some one has to win a strait raffle type lottery and your chances of winning one of those is 1/ number of tickets
And for most of them the winnings are quite moderate so might pay off the mortage or buy a new car.
jackpots are different animal and statistically there is no more chance of the jackpot going off or not going off and compounding
The longest time for a poker machine not paying a jackpot is around 25 years ( Still running ) and the longest Jackpot I know of was 35 years.
So no, some body does not have to win, not this week, not next week or ever if the lottery is a numbers from a barrel type.
If it is ticket only lottery then yes some one has to win.
They published some results a long while ago of a $ 30,000,000 draw.
There were around 600,000,000 individual games played 9 at 50c game and even then there was something like 2000 individual sets of 6 numbers that no one had picked so it could not have been won that week either
Apparently around 40% of the people who win lotteries of $ 1,000,000 or less file for bankruptcy in the following 5 years and that goes up to 60 % 10 years out. The next 5 year period is up next year so it will be interesting to see how many are still "wealthy" 15 years out.
They were compared to people who had inherited $ 1,000,000 to $ 250,000 .OF these less than 5 % had filed for bankruptcy at the 5 year period and that was 8% at the 10 year mark.
The same person was trying to make the same determinations on people who won $ 10,000,000 to $ 1,000,000 but the numbers are so small the chances of the result being statistically relevant is less than 20% unless all of them take the survey.
However from what has been tabled at bankruptcy hearing that were public he came up with 12% at 5 years and 75% at 10 years bankrupt.
So back to your original question.
At least 1/2 of the people will be mowing their own lawns after they win, if they still have a lawn to mow.
The other 1/2 will be mowing community lawns wearing stripy suits and chains.