To celebrate Halloween, imagine you go to a carnival with two dierent games that give out tickets. You're given two coins that you must spend and can only choose one game to enter.

Game 1: you throw a dart at a a wheel from a reasonable distance. The wheel is equally divided into 5 parts, numbered {0, 1, 2, 3, 4}, each part rewarding their respective number amount of tickets won. Assume you never miss the wheel. It costs 1 coin to enter Game 1.

Game 2: you throw a dart at a a wheel from a reasonable distance. The wheel is equally divided into 5 parts, numbered {4,0,4,8,12}, each part rewarding their respective number amount of tickets won. Assume you never miss the wheel. It costs 2 coin to enter Game 1.

Which game would you enter in order to achieve the highest expected ticket reward with the lowest variance after spending 2 coins?