Recall the set of payoffs in a game of chuck-a-luck: a. You win one times your bet if your number appears on one die.
b. You win two times your bet if your number appears on two dice.
c. You win three times your bet if your number appears on three dice
d. You lose your bet if your number appears on none of the dice.

You play 50 consecutive games of chuck-a-luck, betting 5 chips in each of the first 30 games, and 10 chips in each of the remaining 20 games. By the end of these games you'll expect to:

1. lose 19.5 chips
2. lose 34.1 chips
3. lose 27.3 chips
4. win 20.4 chips
5. break even