Jessie is playing a dice game and bets $ 5 on her first roll. If a 7 or 3 is rolled, she wins $ 5 . This happens with a probability of 2 9 . If a 4 is rolled, she loses her $ 5 . This has a probability of 1 12 . 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. Round to the nearest cent. Do not round until the final calculation.

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24-06-2024
Mathematics

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Jessie is playing a dice game and bets $ 5 on her first roll. If a 7 or 3 is rolled, she wins $ 5 . This happens with a probability of 2 9 . If a 4 is rolled, she loses her $ 5 . This has a probability of 1 12 . 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. Round to the nearest cent. Do not round until the final calculation.

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