You've reached the very end of a backgammon game. The stake (how much the loser pays the winner) is $8, and it is your opponent's roll. He has a 25/36 chance of winning with his roll: if he does not, and you get a roll, you are certain to win.

He offers to settle the game. How much should you pay him?

Choose the closest option.

$3
$4
$5
$2
$1

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Your opponent's mathematical expectation is (25/36 - 11/36) * $8, or 14/36 * $8, which is $112/36 or $3.11. So to the nearest dollar, you should pay him $3.