Laura has a bag with & balls numbered 1 through 8. She is playing a game of chance. This game is this: Laura chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, so if the number 4 is selected, ss if the number 5 is selected, and $10 if the number 6 is selected. She loses $14 if 7 or 8 is selected. (a) Find the expected value of playing the game. dollars (b) What can Laura expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) Laura can expect to gain money. She can expect to win dollars per selection. O Laura can expect to lose money. She can expect to lose dollars per selection. Laura can expect to break even (neither gain nor lose money).
Laura has a bag with & balls numbered 1 through 8. She is playing a game of chance. This game is this: Laura chooses one ball from the bag at random. She wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the number 3 is selected, so if the number 4 is selected, ss if the number 5 is selected, and $10 if the number 6 is selected. She loses $14 if 7 or 8 is selected. (a) Find the expected value of playing the game. dollars (b) What can Laura expect in the long run, after playing the game many times? (She replaces the ball in the bag each time.) Laura can expect to gain money. She can expect to win dollars per selection. O Laura can expect to lose money. She can expect to lose dollars per selection. Laura 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:Laura has a bag with 8 balls numbered 1 through 8. She is playing a game of
chance.
This game is this: Laura chooses one ball from the bag at random. She
wins $1 if the number 1 is selected, $2 if the number 2 is selected, $5 if the
number 3 is selected, $6 if the number 4 is selected, $8 if the number 5 is
selected, and $10 if the number 6 is selected. She loses $14 if 7 or 8 is
selected.
(a) Find the expected value of playing the game.
dollars
(b) What can Laura expect in the long run, after playing the game many times?
(She replaces the ball in the bag each time.)
O Laura can expect to gain money.
She can expect to win
dollars per selection.
O Laura can expect to lose
money.
She can expect to lose dollars per selection.
O Laura can expect to break even (neither gain nor lose money).
X
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