A friend of yours offer to play with you the three games below that involve rolling a single
6-sided die:
Game 1: You pay 3 cents and win in the cent amount on the roll.
Game 2: You pay 1 cent and win 2 cents if the roll is odd.
Game 3: You pay 2 cents and win 8 cents if the roll is at least a 5.
Which game is the best in terms of expected payoff, and which game is the worst?