Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?
For a fair six-sided die, the possible point changes are +1, −2, +3, −4, +5, and −6. Their sum is −3, so the expected value is −3 ÷ 6 = −0.5 points per roll. The correct choice is B, −0.5.
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