On three rolls of a single die, you will lose $11 if a 2 turns up at least once, and you will win $6 otherwise. What is the expected value of the game?

If on three rolls of a single die, you will lose $11 if a 2 turns up at least once, and you will win $6 otherwise, then the expected value of the game is $10. The correct answer to the following given statement above is 10 dollars.