Dowsing Machine

Description
The Dowsing Machine is a type of battle item. It temporarily increases the player's chance of gaining extra items for 30 seconds and gives a +50% chance of getting an item from Pokémon that drop Rare Hold Items.

Details
The Dowsing Machine gives a chance of gaining extra items from Dungeon chests. The specific chance depends on the item's Tier and follows this formula:

$$\colorbox{White}{$ \text{Activation Chance} = \frac{0.5}{\frac{4}{\text{Tier} + 1}} $}$$

The Tier variable takes a value from 4 (Common) to 0 (Mythic). This roughly translates to this table:

The number of items one obtains if Dowsing Machine activates depends on both the Tier of said item and the current Region of the Dungeon the player is in. Common Tier gives more items, while Mythic awards less. On the other hand, the higher the Region, the more items will be obtained. The formula is:

$$\colorbox{White}{$ \text{Item Yield} = 1+\max\left(1,\operatorname{round}\left(\frac{\max\left(\text{Tier},2\right)}{8}\cdot\left(\text{Region}+1\right)\right)\right) $}$$

The Tier valuable works as the previous formula and Region takes a value from 0 (Kanto) to the highest available Region, 6 (Alola). This roughly translates to the following table:

*Note: The +50% chance of getting an item from Pokémon that drop Rare Hold Items does not change and it's always the same no matter which Region the player is currently in.

Shops

 * }
 * }

Dungeons

 * }
 * }

Trivia
The Dowsing Machine shares the same design as the machine from the Pokémon franchise.