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).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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