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.