e ball from the bag at random. She wins  $1  if the number  1  is selected,  $2  if the number  2  is selected,

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
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Question 15
 
Keisha has a bag with 
8
 balls numbered 
1
 through 
8
. She is playing a game of chance.

This game is this: Keisha 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 Keisha expect in the long run, after playing the game many times?
(She replaces the ball in the bag each time.)
 
 
 
Keisha can expect to gain money.
 
 
Shecanexpecttowindollarsperselection.
 
 
 
Keisha can expect to lose money.
 
 
Shecanexpecttolosedollarsperselection.
 
 
 
Keisha can expect to break even (neither gain nor lose money).
 
 
 
 
 
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