You are running a game at Frank's Fun Fair. In the game, you can throw a dart and then roll a 6 sided die. If a player gets a bullseye on the dartboard (only a 4% probability) they win a prize worth $10 and the game is over. If they miss the bullseye, they get to roll the die. Even numbers on the die will earn the player a $2 prize. A 1 on the die will get a prize worth $5. Other rolls get them no prize. Your boss wants you to make a profit of $0.5 each time someone plays the game. How much should you charge to pay?
Note: Using the expected value and you give the boss how much he needs to charge to get the expected value of -$0.50.
