Practical Mathematics K12A carnival game offers you the opportunity to bet $1 on a number from 1 through 6 on a single roll of the two dice.
If your number comes up on one die, you win $2 and keep the $1 you bet.
If it appears on both dice, you win $5 and keep the $1 you bet.
Only if the number does not appear on either die do you lose your $1 bet.

Does this game favor you or the carnival?

Source: Mathematics Teacher, NCTM Journal