Three types of number dice are used in a board game. All of them have 1 digit on each face. Each number die can land on any face with equal likeliness.
The numbers 1 - 8 are on the faces of the green number die
The numbers 1 - 12 are on the faces of the yellow number die
The numbers 1 - 20 are on the faces of the purple number die
In the board game, a player gets an extra turn if any of the dice lands on a multiple of 3. Which color die has the highest probability of giving a player an extra turn?
The purple color die has the highest probability of giving a player an extra turn.