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Hans is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random, This game is this: Hans rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. He loses $0.50 if a 4, 5, or 6 is roll (a) Find the expected value of playing the game. I dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win dollars per roll.

Hans is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random, This game is this: Hans rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. He loses $0.50 if a 4, 5, or 6 is roll (a) Find the expected value of playing the game. I dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win dollars per roll.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...
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12 Hans is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Hans rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. He loses $0.50 if a 4, 5, or 6 is rolled. (a) Find the expected value of playing the game. | dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win dollars per roll. O Hans can expect to lose money. He can expect to lose dollars per roll. O Hans can expect to break even (neither gain nor lose money). Continue Submit Assignm O 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center Access quí para buscar 9°C Muy nublado
Transcribed Image Text:12 Hans is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Hans rolls the number cube once. He wins $1 if a 1 is rolled, $2 if a 2 is rolled, and $3 if a 3 is rolled. He loses $0.50 if a 4, 5, or 6 is rolled. (a) Find the expected value of playing the game. | dollars (b) What can Hans expect in the long run, after playing the game many times? O Hans can expect to gain money. He can expect to win dollars per roll. O Hans can expect to lose money. He can expect to lose dollars per roll. O Hans can expect to break even (neither gain nor lose money). Continue Submit Assignm O 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center Access quí para buscar 9°C Muy nublado
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