A game costs $3.00 to play. A player can win $1.00, $5.00, $10.00, or nothing at all. The probability of winning $1.00 is 40%, $5.00 is 20%, and $10.00 is 5%. a) What is the probability of winning nothing at all? b) Calculate the expected value for this game. c) Explain whether this game is fair.