Well, it is one thing if the numbers prove it. Typically they make these statements without evidence justifying them. That California Second Chance drawing offering an additional top prize is a cool way of dishing out money. I would like to see lotteries recycle "unclaimed" prizes in this manner, or allocate those additional funds to education (which some are already doing). The FL Lottery isn't very transparent when asked these types of questions.
For FL, they recently introduced a new $25 ticket. The odds of hitting the $1M prize is 1 in 620k, and the odds of hitting $20k is 1 in 30k. This is a significant improvement from the $1M prize being 1 in 704k and the $20k odds being 1 in 120k from the previous $25 game. The odds of hitting the $10M prize got worse, however, and shifted from 1 in 8m to 1 in 14m. In my opinion, this is a welcome change, however, because the $1M prize, and $20k prizes became substantially easier to hit. The odds of hitting the $500 prize, and $1k prizes were marginally affected, and still roughly 1 in 350, and 1 in 1319 respectively. Pretty good odds, in my opinion.
New York Lottery needs to do better. It is one of the largest lotteries, yet they make the odds of hitting their top prizes, and even mid tier prizes so bad. Sure, the $100 prizes and odd $150 or $200 prizes may be attainable, but they're still pretty bad. There's no reason why the odds of hitting $1K on a $30 ticket in NY should be comparable to the odds of hitting $1K on a $5 ticket in Florida. That just shows how much the scratchoffs suck up there.