Suppose you are playing a game with a fair die (e.g. no bias for any one side), and your expected payout based on the # you roll is shown the table below. If you have to pay $1 to play, is it worth the cost to play?
| Roll | Payout |
|---|---|
| 6 | $4 |
| 5 | $2 |
| 4 | $1 |
| 3 | $0 |
| 2 | $0 |
| 1 | $0 |