

1. 
During a judging of a dog show, there are four favorite dogs. Assuming there are no ties and the four favorites finish in the top four places, how many ways can the dogs win first, second, third, and fourth places? 


A. 
256 
B. 
24 


C. 
10 
D. 
120 


Hint 


2. 
What is the value of P(8, 4)? 


A. 
70 
B. 
6720 


C. 
1680 
D. 
26 


Hint 


3. 
Find the number of fiveletter patterns that can be formed using the letters of the word motto. 


A. 
30 
B. 
15 


C. 
60 
D. 
120 


Hint 


4. 
How many fourletter patterns can be formed from the letters of the word teen if t must always be the first letter? 


A. 
6 
B. 
48 


C. 
3 
D. 
12 


Hint 


5. 
An old circuit board with 7 computer chips contains 4 chips that are faulty. If 2 chips are pulled at random, find the probability that both chips are faulty. 


A. 

B. 



C. 

D. 



Hint 


6. 
Using a standard deck of playing cards, find the probability of randomly selecting a queen, replacing it in the deck, and then selecting a heart. 


A. 

B. 



C. 

D. 



Hint 


7. 
Josie has 2 classical, 3 jazz, and 1 folk CD in her car. If she pulls 2 CDs from her CD case without looking, what is the probability that both CDs are jazz? 


A. 

B. 



C. 

D. 



Hint 


8. 
Raphael is conducting a survey of families with 2 children. If a family is selected at random, what is the probability that the family will have exactly 2 girls if the second child is a girl? 


A. 
1 
B. 



C. 

D. 



Hint 


9. 
Use the table below. Given that a student is in the seventh grade, what is the probability that she has brown eyes? 





A. 

B. 



C. 

D. 



Hint 


10. 
Francis guesses at all 6 true/false questions in a trivia game. What is the probability that he guesses correctly on at least 5 of the questions? 


A. 

B. 



C. 

D. 



Hint 


11. 
Using a standard deck of 52 cards, find probability of choosing a card with a value of 8 or less. 


A. 

B. 



C. 

D. 



Hint 


12. 
Eric guesses at all 8 questions on a true/false test. Find the probability that he got at least 6 correct. 


A. 
0.1445 
B. 
0.1528 


C. 
0.1353 
D. 
0.1618 


Hint 

