Jessie is playing a dice game and bets $ 9 on her first roll. If a 10 , 7 , or 4 is rolled, she wins $ 9 . This happens with a probability of 1/3 . If an 8 or 2 is rolled, she loses her $ 9 . This has a probability of 1/6 . If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on her first roll.



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