2. CUBE GAME [PLS HELP ME] In a carnival game, players win prizes by rolling a cube. The cube has one red side, one white side, one
blue side and three green sides. This game costs $1 to play. If the cube stops with the red face up the
player receives a prize worth 50 cents. If it stops with the white face up, the player wins a prize worth $1.
When a blue face is showing the prize is worth $1.50. If the cube shows a green face, the player wins
nothing.
a. Verify that the cube game is not mathematically fair by calculating the expected value.
b. Adjust the cost of playing the game to make it fair.