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Reuben 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: Reuben 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 $2.50 if a 4, 5, or 6 is rolled. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Reuben expect in the long run, after playing the game many times? O Reuben can expect to gain money. He can expect to win dollars per roll. O Reuben can expect to lose money. He can expect to lose| dollars per roll. O Reuben can expect to break even (neither gain nor lose money).

Reuben 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: Reuben 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 $2.50 if a 4, 5, or 6 is rolled. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Reuben expect in the long run, after playing the game many times? O Reuben can expect to gain money. He can expect to win dollars per roll. O Reuben can expect to lose money. He can expect to lose| dollars per roll. O Reuben can expect to break even (neither gain nor lose money).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 61E
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Reuben 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: Reuben 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 $2.50 if a 4, 5, or 6 is rolled. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Reuben expect in the long run, after playing the game many times? O Reuben can expect to gain money. He can expect to win dollars per roll. O Reuben can expect to lose money. He can expect to lose dollars per roll. O Reuben can expect to break even (neither gain nor lose money).
Transcribed Image Text:Reuben 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: Reuben 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 $2.50 if a 4, 5, or 6 is rolled. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Reuben expect in the long run, after playing the game many times? O Reuben can expect to gain money. He can expect to win dollars per roll. O Reuben can expect to lose money. He can expect to lose dollars per roll. O Reuben can expect to break even (neither gain nor lose money).
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