Terraria – the chance of a meteor hitting the town

Since bee hives are biomes, they are actually spawned at world gen. First, your world must be generated in 1.2 and above for it to have any chance of been generated with the bee hive mini-biome. Your game need to have a minimum version of 1.2.6508 on iOS and 1.2.6667 on Android when the world was generated.

The wiki also states that in 1.2.4 the spawn rate was increased, but the the 1.2 update for mobile only brings them up to the equivalent of 1.2.1.2 on the PC. Other than that, information on the actual spawn rate is sparse.

Anecdotally, your world will almost certainly have at least one or two of these in the underground jungle. The challenge is actually finding them, since the underground jungle rates as one of the most dangerous biomes both pre- and post-hardmode.

Shime ji is one of the variations of the truffle. For him to settle, you need to create him a house in the mushroom biome and bring it to the surface ideally. So go underground, get mushroom biome seeds, and plant them. They can only be planted on mud, so you will have to create a mud platform. A biome starts when ~50 blocks of the biome blocks are present. Music starts playing if you succesfully made the mushroom biome. Then make him a house in the mushroom newly created mushroom biome. If he still doesn't settle, make the biome bigger.