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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 68CR
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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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