Pokemon-go – Does hatching a Pokémon count towards the Daily Bonus

Eggs come in three distances: 2km (1.2mi), 5km (3.1mi), and 10km (6.2mi). The distribution of these seems to be relatively random, however 5km seems to be somewhat more common than the others. 10km seems to be somewhat rarer for now, however these numbers have become extremely balanced since the beta.

Pokemon's strength (and rarity) is usually determined by the distance you need to walk to hatch the Egg.

You can get any non-legendary (and egg-grouped Pokemon) from eggs, although some are rarer than others. For instance, you're much more likely to get a Rattata than a Growlithe from an egg.

'Total Pokémon' is a count of all currently held pokémon and eggs

In the example you give, you are currently holding 11 pokémon, and 1 egg. The given pokémon count is 12.

This is likely in order to prevent bugs related to issues that would otherwise arise when you have a full box of 250 pokémon, and could proceed to hatch more, through eggs.

It is worth addressing that this is a total held pokémon count, not a count of unique pokémon. If you did have duplicates in your box, they would also contribute to your final count.