In fact, on average, one out of every 12 million QP tickets sold results in a $1M winner over the long term.
That is true in every state and every city.
Poor little Kansas with only 4.7m tickets sold did better than average on the last drawing with 2 $1m winners.
Let's look at specific Kansas statistic for the last drawing:
They sold 4,676,236 tickets
190,346 of those tickets won money
Total money won from those tickets was $3,274,686
The odds of any ticket winning is 1 in 24.87 so Kansas should have expected, on average, 188,027 winning tickets.
Very close to how many were winners
Ignoring Powerplay the average return per $2 ticket, ignoring the jackpot and $1m prize is 23.44 cents
So the expected return on all the tickets sold in Kansas, ignoring jackpot and $1m, is $1.1m, quite close to the $1.2m actually won.
Kansas posts the exact number of winners in each category, including Powerplay broken out.
The more samples, the closer your results will be to the expected.
For example, there were 121,302 winning tickets that had just the red ball. The odds of that are 1 in 38.32 so the expected number in Kansas would be 122,031 based on their sales of 4,676,236 tickets. A perfect example of how as the sample size grows the closer you get to the expected number.
This is ample proof to me that the number of winning tickets in Kansas, a smaller state, is right in line with expectations.