[danielfetz]

One of the main downsides of the game so far was the focus on doing somewhat trivial binary search if one did not succeed in getting within ±20% of the correct answer with the first guess.

I think I did find a solution to bring the focus a bit away from the binary search and would greatly appreciate feedback from all of you.

The game now shows a hint after the second incorrect guess. For example the hint "The US covers 1.87% of the Earth's surface." is displayed for the question about what percentage of the Earth's surface is land.

I hope that this brings into the game a whole new dimension where you have a second moment after the initial Fermi estimation to really think through your guess and the assumptions you have made. How does the new information received through the hint impact your model?

I think those things put together now make the game a very compelling training ground for getting better at Fermi estimation and updating your beliefs in light of new information without over or under-reacting.