

1. 
A manager of a bookstore selects a set of four bestsellers for a display. The display set is made up of one book from each of four categories. There are 7 nonfiction, 5 science fiction, 2 romance and 4 fiction books from which to choose. How many ways can the books be chosen for the display? 


A. 
280 
B. 
18 


C. 
125 
D. 
72 


Hint 


2. 
How many ways can 5 people be seated at a round table? 


A. 
240 
B. 
48 


C. 
24 
D. 
120 


Hint 


3. 
Four male and six female students have been selected as qualifiers for 2 college scholarships. If the 2 finalists are to be selected at random, what are the odds that both will be female? 


A. 

B. 



C. 

D. 



Hint 


4. 
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 


5. 
What is the probability that one card drawn from a standard deck of cards will be a king or a diamond? 


A. 

B. 



C. 

D. 



Hint 


6. 
Using a standard deck of cards, how many 7card hands are possible that have 4 queens, 2 jacks, and the King of spades? 


A. 
24 
B. 
64 


C. 
16 
D. 
6 


Hint 


7. 
How many 8digit numbers can have the digits 4, 5, 9, 4, 8, 8, 9, and 2? 


A. 
10,080 
B. 
5,040 


C. 
40,320 
D. 
8,610 


Hint 


8. 
Claire has 4 comedy, 6 drama, 3 horror, and 5 action DVDs. She randomly picks 2 to take with her to a friend's sleepover. Find the probability that she picks 1 drama and 1 action DVD. 


A. 

B. 



C. 

D. 



Hint 


9. 
A pair of number cubes is rolled. What is the probability that the sum is odd given that the sum is greater than or equal to 9. 


A. 

B. 



C. 

D. 



Hint 


10. 
A bag contains 6 blue marbles and 2 brown marbles. One marble is randomly drawn and discarded. Then a second marble is drawn. Find the probability that the second marble is blue given that the first marble drawn was blue. 


A. 

B. 



C. 

D. 



Hint 


11. 
The probability of tossing a tail on a bent coin is . The coin is tossed 5 times. Find the probability of tossing exactly 3 tails. 


A. 
0.3114 
B. 
0.3028 


C. 
0.2906 
D. 
0.3292 


Hint 


12. 
Kathy guesses at all of the 10 questions on a multiple choice exam. Find the probability that she gets 3 questions correct if each question has 5 choices. 


A. 
0.1843 
B. 
0.2013 


C. 
0.1124 
D. 
0.1556 


Hint 

