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Heather is playing a game of chance in which she 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: Heather rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $2.75 if a 5 or 6 is rolled. (a) Find the expected value of playing the game. |dollars (b) What can Heather expect in the long run, after playing the game many times? O Heather can expect to gain money. She can expect to win |dollars per roll. O Heather can expect to lose money. She can expect to lose dollars per roll. O Heather can expect to break even (neither gain nor lose money).

Heather is playing a game of chance in which she 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: Heather rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $2.75 if a 5 or 6 is rolled. (a) Find the expected value of playing the game. |dollars (b) What can Heather expect in the long run, after playing the game many times? O Heather can expect to gain money. She can expect to win |dollars per roll. O Heather can expect to lose money. She can expect to lose dollars per roll. O Heather can expect to break even (neither gain nor lose money).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 2C
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Heather is playing a game of chance in which she 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: Heather rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $2.75 if a 5 or 6 is rolled. (a) Find the expected value of playing the game. |dollars (b) What can Heather expect in the long run, after playing the game many times? O Heather can expect to gain money. She can expect to win dollars per roll. O Heather can expect to lose money. She can expect to lose dollars per roll. O Heather can expect to break even (neither gain nor lose money).
Transcribed Image Text:Heather is playing a game of chance in which she 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: Heather rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $2.75 if a 5 or 6 is rolled. (a) Find the expected value of playing the game. |dollars (b) What can Heather expect in the long run, after playing the game many times? O Heather can expect to gain money. She can expect to win dollars per roll. O Heather can expect to lose money. She can expect to lose dollars per roll. O Heather can expect to break even (neither gain nor lose money).
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