Question

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? K-12 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%

5-14 years, 12.6%

15-19 years, 6.2%

20-24 years, 4.7%

25-34 years, 14.3%

35-44 years, 14.8%

45-64 years, 24.5%

65-74 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 1-9 days, 10.0%

Used 10-29 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)=

Answer 1

#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: