I think it would be interesting to have a version where the chosen numbers were the same every time. We all know the odds won't change but there are countless people who play the lottery this way. They have "their" numbers and they never deviate for fear that if they do, that's when "their" numbers would pop up and they'd miss out on the win.

Yes and another that uses a fixed ridiculous combination like 1 2 3 4 5 6 7 8 9. This is my favorite way for bringing the odds nearer to mind.

That would be cool for this website, but don't try it in real life. If you win, it is almost guaranteed that you will share your prize with many other people.

When the U.K. lottery launched you picked 6 from 49.

The prizes were shared amongst everyone

If the prize pot was say £10m, 4 winners would get £2.5m each.

I suspect that the hunebr of people choosing 123456 would be far higher than choosing 6 random numbers. Thus in the event your numbers did come up, you would get far less winning than someone who had the same odds but chose say 13 22 32 35 40 42

If anything, I imagine everyone would actively avoid 123456, thus making it the better pick.

It’s the same game. Betting on a pair when throwing two dice has the same likelihood than betting on a six when throwing one die.

The odds may be the same but the game is not the same.

The point of lottery games is to offer the lowest possible probability of winning that has a perception of being winnable.

So guessing few random small numbers feels easier than picking one random large number.

The whole point of the website is to show those games in a context where people without a math degree will get how low the winning chances are.

So the games with the same winning likelihood Are Not the same game.