1. A random number generator is used to select a number from 1 to
500 ?(inclusively).
What is the probability of selecting the number 595
?
What is the probability?
2.Identify the sample space of the probability experiment and determine the number of outcomes in the sample space.
Randomly choosing an even number between 10 and 20, inclusive
The sample space is?
(Use a comma to separate answers)
There are _____ outcomes in the sample space
3. Determine the number of outcomes in the event. Decide whether the event is a simple event or not.
You randomly select one card from a standard deck of 52 playing cards. Event
Upper B is selecting a queen.
Event B has ___ outcomes
4. A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six digits. The first digit cannot be zero and the last digit must be odd. How many different codes are? available?
What is he number of different codes available?
5. Use the frequency? distribution, which shows the number of American voters? (in millions) according to? age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range
Ages 
Frequency 

18 to 20 
5.8 

21 to 24 
7.8 

25 to 34 
21.8 

35 to 44 
24.7 

45 to 64 
52.2 

65 and over 
27.9 
The probability that a voter chosen at random is in the 18 to 20 years old age range is?
6.Use the frequency distribution to the? right, which shows the number of voters? (in millions) according to? age, to find the probability that a voter chosen at random is in the given age range
***Not between 35 and 44 years old
Ages of voters 
Frequency 

18 to 20 
6.8 

21 to 24 
8.8 

25 to 34 
24.8 

35 to 44 
23.9 

45 to 64 
50.1 

65 and over 
25.3 
The probability is?
7.The accompanying table shows the results of a survey in which 250 male and
250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts? (a) and? (b) below.
Contribute 
Do not contribute 
Total 

Male 
123 123 
127 127 
250 250 

Female 
159 159 
91 91 
250 250 

Total 
282 282 
218 218 
500 500 
A)Find the probability that a randomly selected worker contributes to a retirement savings plan at? work, given that the worker is male.The probability that a randomly selected worker contributes to a retirement savings plan at? work, given that the worker is? male, is?
B)Find the probability that a randomly selected worker is? female, given that the worker contributes to a retirement savings plan at work.The probability that a randomly selected worker is? female, given that the worker contributes to a retirement savings plan at? work, is?
8.For the given pair of? events, classify the two events as independent or dependent. Winning $100 on your first trip to the casino Winning $100 on your second trip to the casino
Are they independent or dependent?
9. Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a queen and then selecting a four.
The probability of selecting a queen and then selecting a four is?
10. A coin is tossed and an eight?sided die numbered 1 through 8 is rolled. Find the probability of tossing a tail and then rolling a number greater than 6
The probability of tossing a tail and then rolling a number greater than 6 is?
11.In a sample of 100 U.S.? adults, 192 think that most celebrities are good role models. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.? adults, complete parts? (a) through? (c).
a. Find the probability that both adults think most celebrities are good role models
The probability that both adults think most celebrities are good role models is?
b.Find the probability that neither adult thinks most celebrities are good role models The probability that neither adult thinks most celebrities are good role models is?
c. Find the probability that at least one of the two adults thinks most celebrities are good role models.The probability that at least one of the two adults thinks most celebrities are good role models is?
13. The probability that a person in the United States has type B?+ blood is 8?%.Three unrelated people in the United States are selected at random. Complete parts? (a) through? (d).
a. Find the probability that all three have type B?+ blood.
The probability that all three have type B?+ blood is?
?(Round to six decimal places as? needed.)
b. Find the probability that none of the three have type B?+ blood.The probability that none of the three have type B?+ blood is?
c.Find the probability that at least one of the
three has type B?+ blood.The probability that at least one of the three has type B?+ blood is?
14.According to a? study, 72?% of? K12 schools or districts in a country use digital content such as? ebooks, audio? books, and digital textbooks. Of these72?%, 13 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.
The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is?
15.A physics class has 50 students. Of? these, 12 students are physics majors and 17 students are female. Of the physics? majors, four are female. Find the probability that a randomly selected student is female or a physics major.
The probability that a randomly selected student is female or a physics major is?
16. A standard deck of cards contains 52 cards. One card is selected from the deck.
a 
Compute the probability of randomly selecting a four or five. 
b 
Compute the probability of randomly selecting a four or five or ten. 
c 
Compute the probability of randomly selecting an eight or spade. 
a.? P(four or five?)=
b.? P(four or five or ten)=
c.P(eight or spade?)=
17. The estimated percent distribution of a certain? country's population for 2025 is shown in the accompanying pie chart. Find the probability of each event listed in parts? (a) through? (d) below.
National Age Distribution
Under 5 years, 6.1%
514 years, 12.6%
1519 years, 6.2%
2024 years, 4.7%
2534 years, 14.3%
3544 years, 14.8%
4564 years, 24.5%
6574 years, 9.2%
75 years or over, 7.5%
A pie chart titled National Age Distribution consists of a circle divided into 9 sectors, each of which is labeled with a range of years and a percentage as follows in counterclockwise order, where each percentage label corresponds to the percentage of the circle occupied by the sector:
a) Randomly selecting someone who is under 5 years old The probability is? %
?(Round to one decimal place as? needed.)
?(b) Randomly selecting someone who is 45 years old or over The probability is? %
?(Round to one decimal place as? needed.)
?(c) Randomly selecting someone who is not 65 years old or over The probability is %
?(Round to one decimal place as? needed.)
?(d) Randomly selecting someone who is between 20 and 34 years old The probability is? %
18.The percent of college? students' marijuana use for a sample of
96,495 students is shown in the accompanying pie chart. Find the probability of each event listed in parts? (a) through? (d) below.
A pie chart titled Marijuana Use in the Last 30 Days consists of a circle divided into 5 sectors
Marijuana Use in the Last 30 Days
Never used, 58.9%
Used, but not in the last 30 days, 23.0%
Used 19 days, 10.0%
Used 1029 days, 5.0%
Used all 30 days, 3.1%
?(a) Randomly selecting a student who never used marijuana The probability is ?%.
?(Round to one decimal place as? needed.)
?(b) Randomly selecting a student who used marijuana The probability is
?%.
?(Round to one decimal place as? needed.)
?(c) Randomly selecting a student who used marijuana between 1 and 29 of the last 30 days The probability is ?%.
?(Round to one decimal place as? needed.)
?(d) Randomly selecting a student who used marijuana on at least 1 of the last 30 days The probability is ?%.
19.The accompanying table shows the numbers of male and female students in a certain region who received? bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts? (a) through? (c) below.
Degrees in Field 
Degrees Outside of Field 
Total 

Males 
174,254 
599,015 
773,269 

Females 
127,760 
866,653 
994,413 

Total 
302,014 
1,465,668 
1,767,682 
?(a) The student is male or received a degree in the field The probability is?
.
?(Type an integer or a decimal. Round to three decimal places as? needed.)
?(b) The student is female or received a degree outside of the fieldThe probability is?
?(Type an integer or a decimal. Round to three decimal places as? needed.)
?(c) The student is not female or received a degree outside of the field The probability is?
?(Type an integer or a decimal. Round to three decimal places as? needed.)
20.The table below shows the results of a survey that asked
2868
2868 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts? (a) through? (d).
Frequently 
Occasionally 
Not at all 
Total 

Male 
227 
456 
796 
1479 

Female 
208 
440 
741 
1389 

Total 
435 
896 
1537 
2868 
?(a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved)=
?(Round to the nearest thousandth as? needed.)
?
(b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved)=
?(Round to the nearest thousandth as? needed.)
?(c) Find the probability that the person is male or frequently involved in charity work. P(being male or being frequently involved)=
?(Round to the nearest thousandth as? needed.)
?(d) Find the probability that the person is female or not frequently involved in charity workP(being female or not being frequently involved)=
#1 Since random number generator is used to select a number from 1 to 500, the number 595 cannot be selected.
Therefore, the probability of selecting the number 595
#2 Randomly choosing an even number between 10 and 20, inclusive
The sample space is .
There are outcomes in the sample space.
#3 B=Selecting a queen
Event B has outcomes because there are 4 queens in a deck of 52 cards.
#4 The first digit can be one of any 9 digits (all except 0) and last digit can be one of any 5 digits (1,3,5,7,9).
Total number of codes:
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