A board game is played as follows: a number cube numbered 1 to 6 is rolled. If the number 1 comes up, you get nothing. If the nu
mber 2, 3, or 5 comes up, you win 40 points. If the number 4 or 6 comes up, you lose 60 points. Use the expected value to prove whether or not the game is fair. Show all work for full credit.
