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A dice game involves rolling two dice. A player who rolls a 3, 4, 10, 11, or 12 wins 5 points. A player who rolls a 5, 6, 7, 8, or 9 loses 5 points.
If the expected value of playing this game is to lose
, a player will

points by rolling a 2.

All Answers 1

Answered by GPT-5 mini AI
If rolling a 2 also loses 5 points, EV = (11(5) − 25(5))/36 = −35/18, so the game is expected to lose 35/18 points and a player will lose 5 points by rolling a 2.