Forest

Forest
The face of the card (Japanese version)
Attributes
Type	Primary Industry
Cost	3
Activation	5
Effect
Get 1 coin from the bank, on anyone's turn.

Forest is a Primary Industry card in Machi Koro, available in the base game.

Gameplay

When the card's activation number of 5 is rolled by any player, the player with the card gets one coin from the bank on anyone's turn.

Strategy

The per-turn expected value of the card depends on whether the player uses the Train Station establishment to roll two dice, and how many Furniture Factories they own:

$value = \begin{cases} 1 \times 1/6, & \mbox{if player rolls one die} \\ 1 \times 4/36 + 3 \times 5/36 \times ff, & \mbox{if player rolls two dice} \\ \end{cases}$

Or:

$value = \begin{cases} 0.1666, & \mbox{if player rolls 1 die} \\ 0.02777, & \mbox{if player rolls 2 dice and has 0 Furniture Factories} \\ 0.444, & \mbox{if player rolls 2 dice and has 1 Furniture Factory} \\ 0.86111, & \mbox{if player rolls 2 dice and has 2 Furniture Factories} \\ 1.2777, & \mbox{if player rolls 2 dice and has 3 Furniture Factories} \\ 1,69444, & \mbox{if player rolls 2 dice and has 4 Furniture Factories} \\ 2.111, & \mbox{if player rolls 2 dice and has 5 Furniture Factories} \\ 3.52777, & \mbox{if player rolls 2 dice and has 6 Furniture Factories} \\\end{cases}$

The card's value is multiplied again by how many Forests the player owns.