1 
A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.  
HT TH 
HH HT TH TT 
HH HT TT 
HH TT HT HT 
2 
A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack. 
16 
04/13 
02/13 
12/13 
3 
Find the indicated probability.  
The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.  
0.2861 
0.037 
0.0321 
0.2963 
4 
Solve the problem. 
A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns “0” if sales fall, “1” if sales are steady, “2” if sales rise moderately, and “3” if sales rise a lot. The simulator generates the following output.  
0 1 0 2 2 0 0 1 2 0 2 0 2 0 2 2 1 2 0 1 2 2 2 0 3 0 0 2 1 2 1 
Estimate the probability that sales will remain steady. 
0.125 
0.194 
0.258 
0.412 
5 
Find the indicated probability. 
A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.  
0.002 
0.692 
0.721 
0.885 
6 
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.  
The following table contains data from a study of two airlines which fly to Small Town, USA.  
Podunk Airlines: flights on time-33, late flights-6 
Upstate Airlines: flights on time-43, late flights-5 
If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time. 
33/87 
11/76 
43/87 
76/87 
7 
Solve the problem. 
A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns “0” if sales fall, “1” if sales are steady, “2” if sales rise moderately, and “3” if sales rise a lot. The simulator generates the following output.  
0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1 
Estimate the probability that sales will rise moderately. 
0.633 
0.312 
0.452 
0.419 
8 
A coin is flipped and the results recorded: 
H T H H T T T H 
Estimate the probability that a heads will occur on the next flip. 
0.25 
0.5 
0.75 
0.33 
9 
Solve the problem. 
A pollster wants to minimize the effect the order of the questions has on a person’s response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey? 
6 
720 
36 
120 
10 
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.  
The following table contains data from a study of two airlines which fly to Small Town, USA.  
Podunk Airlines: flights on time-33, late flights-6 
Upstate Airlines: flights on time-43, late flights-5 
If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time. 
43/87 
43/76 
43/48 
11/76 
11 
Find the indicated probability. Round to the nearest thousandth. 
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. 
0.9 
0.001 
0.999 
0.1 
12 
If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king?  
9/131- 0 
04/13 
42/52 
09/52 
13 
Find the indicated probability.  
The table below describes the exercise habits of a group of young adults. 
Men: no exercise-356, light exercise-50, moderate exercise-36, total-442  
Women: no exercise-418, light exercise-43, moderate exercise-45, total-506 
Total:no exercise-774, light exercise-93, moderate exercise-81, total-948If two different people are randomly selected from the 948 subjects, find the probability that they are both moderate excercisers. Round to six decimal places. 
0.007301 
0.0001524 
0.007218 
0.001442 
14 
Find the indicated probability.  
Refer to the table which summarizes the results of testing for a certain disease. 
Subject has disease: Positive test result-120, negative test result-4 
Subject doesn’t have disease: positive test result-13, negative test result-172If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test? 
0.0421; The probability of this error is low so the test is fairly accurate. 
0.0129; The probability of this error is low so the test is fairly accurate. 
0.0323; The probability of this error is low so the test is fairly accurate. 
0.570; The probability of this error is high so the test is not very accurate. 
Should be 0.0227; The probability of this error is low so the test is fairly accurate. 
15 
Find the indicated probability.  
The table below describes the exercise habits of a group of young adults. 
Men: no exercise-356, light exercise-50, moderate exercise-36, total-442 
Women: no exercise-418, light exercise-43, moderate exercise-45, total-506 
Total:no exercise-774, light exercise-93, moderate exercise-81, total-948 
If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places. 
0.25 
0.3274 
3.906E-06 
0.3276 
16 
A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3? 
02/Mar 
17 
01/Mar 
10/Sep 
17 
Fred and Ed each have a bag of candy that contains a lemon drop (L), a cherry drop (C), and an orange drop (O). Each takes out one piece from their bag and eats it. What is the sample space of the possible pairs of candies eaten?  
LL CL OO LC CC LO OC CO OL  
LC LC LC LO LO LO CO CO CO 
LL CL OO LO CC LO OC CL OL 
CL LO OC OO LL 
18 
Solve the problem.  
The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly and none of the 30 people are the same age, what is the probability that the 5 youngest people will be selected? 
1/142,506 
1/17,100,720 
04/15 
1/120 
19 
Each day a cashier counts the number of pennies left in the “take a penny, leave a penny” dish. Estimate the probability that there are fewer than 4 pennies on any given day. 
1 3 5 17 4 9 1 9 2 8 20 
04/Nov 
03/Nov 
11/Jul 
07/Nov 
20 
Evaluate the expression.  
10P5 
252 
5 
30,240 
2 
21 
Find the indicated probability. Round to the nearest thousandth. 
A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective? 
0.819 
0.168 
0.16 
0.832 
22 
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time. 
Full time Part time 
Public Transportation 7 10 
Bicycle 4 3 
Drive alone 30 31 
Carpool 6 9 
0.56 
0.53 
0.25 
0.62 
23 
Find the indicated probability. 
A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be defective. If three of the products are randomly selected, find the probability that all of them are acceptable.  
0.027 
2.1 
0.343 
0.429 
24 
Solve the problem.  
A musician plans to perform 5 selections. In how many ways can the musician arrange the musical selections?  
120 
5  
25 
720 
25 
Express the indicated degree of likelihood as a probability value. 
“There is a 40% chance of rain tomorrow.” 
4 
0.4 
40 
0.6 
26 
What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king? 
51/52 
12/13 
01/13 
01/Feb 
27 
Solve the problem. 
The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there? 
4096 
3360 
48 
560 
28 
A company that produces light bulbs records a 1 if a light bulb is defective and a 0 if the lightbulb meets quality standards. Estimate the probability that the next bulb produced will be defective. 
0 0 0 0 0 0 0 0 0 0 0 
1 
10/Nov 
0 
09/Nov 
29 
The manager of a bank recorded the amount of time each customer spent waiting in line during one business hour on a Monday. The frequency table below summarizes the results.  
Waiting Times(minutes) Number of Customers 
0-3 11 
4-7 9 
8-11 11 
12-15 5 
16-19 5 
20-23 1 
24-27 3 
If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to the nearest thousandth. 
0.556 
0.667 
0.111 
0.727 
30 
Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs? 
0.7 
0.54 
0.42 
0.12 
0.58