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(a) Find the expected value of playing the game. dollars (b) What can Alonzo expect in the long run, after playing the game many times?

(a) Find the expected value of playing the game. dollars (b) What can Alonzo expect in the long run, after playing the game many times?

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 18E
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Question
Alonzo is playing a game of chance in which he 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: Alonzo rolls the number cube once. He wins 

$1

 if a 

1

 is rolled, 

$2

 if a 

2

 is rolled, and 

$3

 if a 

3

 is rolled. He loses 

$0.50

 if a 

4

, 

5

, or 

6

 is rolled.

(a) Find the expected value of playing the game.
 
dollars
 
(b) What can Alonzo expect in the long run, after playing the game many times?
 
 
 
Alonzo can expect to gain money.
 
 
Hecanexpecttowindollarsperroll.
 
 
 
Alonzo can expect to lose money.
 
 
Hecanexpecttolosedollarsperroll.
 
 
 
Alonzo can expect to break even (neither gain nor lose money).
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