Deck 5: Probability

Question 1

Answer 1

A

Question 2

Compute and Interpret Probabilities Using the Empirical Method
The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis. Express your answer as a simplified fraction and as a decimal.

Answer 2

A

Question 3

Answer 3

A

Question 4

Identify the sample space of the probability experiment: answering a true or false question

Question 5

In terms of probability, a(n) ___________________ is any process with uncertain results that can be repeated.

A) Experiment
B) Sample space
C) Event
D) Outcome

Question 6

Question 7

Compute and Interpret Probabilities Using the Empirical Method

Question 8

In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Is this a probability model Answer Yes or No.

Question 9

Question 10

A(n) _______________ of a probability experiment is the collection of all outcomes possible.

A) Sample space
B) Event set
C) Bernoulli space
D) Prediction set

Question 11

An outcome is any collection of events from a probability experiment.

Question 12

Compute and Interpret Probabilities Using the Empirical Method
In 1999 the stock market took big swings up and down. A survey of 983 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily Express your answer as a simplified fraction and as a decimal rounded to three decimal places. The chart below shows the percentage of people in a questionnaire who bought or leased the listed car models and were very satisfied with the experience.

Question 13

An unusual event is an event that has a

A) Low probability of occurrence
B) Probability of 1
C) Probability which exceeds 1
D) A negative probability

Question 14

Compute and Interpret Probabilities Using the Empirical Method

Question 15

Identify the sample space of the probability experiment: tossing four coins and recording the number of heads

Question 16

A bag contains 25 wooden beads. The colors of the beads are red, blue, white, green, black, brown, and grey. The probability of randomly selecting a bead of a particular color from the bag is given in the below table. Is this a probability model Answer yes or No.

Question 17

Identify the sample space of the probability experiment: determining the puppie s gender for a litter of three puppies (Use M for male and F for female.)

Question 18

Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, D and E as the possible answers

Question 19

Which of the following cannot be the probability of an event

Question 20

Identify the sample space of the probability experiment: tossing a coin

Question 21

Use Simulation to Obtain Data Based on Probabilities
Compare the results of (a) and (b) to the probability that would be obtained using the classical method. Which answer was closer to the probability that would be obtained using the classical method Is this what you would expect

Question 22

Compute and Interpret Probabilities Using the Classical Method

Question 23

Compute and Interpret Probabilities Using the Classical Method

Question 24

Compute and Interpret Probabilities Using the Classical Method

Question 25

Compute and Interpret Probabilities Using the Classical Method

Question 26

Compute and Interpret Probabilities Using the Classical Method

Question 27

Compute and Interpret Probabilities Using the Classical Method

Question 28

Compute and Interpret Probabilities Using the Classical Method

Question 29

Use Simulation to Obtain Data Based on Probabilities

Question 30

Compute and Interpret Probabilities Using the Classical Method

Question 31

Compute and Interpret Probabilities Using the Empirical Method

Question 32

Compute and Interpret Probabilities Using the Classical Method

Question 33

Compute and Interpret Probabilities Using the Classical Method

Question 34

Compute and Interpret Probabilities Using the Classical Method

Question 35

Compute and Interpret Probabilities Using the Classical Method

Question 36

Compute and Interpret Probabilities Using the Classical Method

Question 37

Use Simulation to Obtain Data Based on Probabilities
(a) Roll a pair of dice 40 times, recording the sum each time. Use your results to approximate the probability of getting a sum of 8. (b) Roll a pair of dice 100 times, recording the sum each time. Use your results to approximate the probability of getting a sum of 8. Compare the results of (a) and (b) to the probability that would be obtained using the classical method. Which answer was closer to the probability that would be obtained using the classical method Is this what you would expect

Question 38

Compute and Interpret Probabilities Using the Classical Method

Question 39

Compute and Interpret Probabilities Using the Classical Method

Question 40

Use Simulation to Obtain Data Based on Probabilities
(a) Use a graphing calculator or statistical software to simulate drawing a card from a standard deck 100 times (with replacement of the card after each draw). Use an integer distribution with numbers 1 through 4 and use the results of the simulation to estimate the probability of getting a spade when a card is drawn from a standard deck. (b) Simulate drawing a card from a standard deck 400 times (with replacement of the card after each draw). Estimate the probability of getting a spade when a card is drawn from a standard deck. Compare the results of (a) and (b) to the probability that would be obtained using the classical method. Which simulation resulted in the closest estimate to the probability that would be obtained using the classical method Is this what you would expect

Question 41

Use the Addition Rule for Disjoint Events

Question 42

Use the Addition Rule for Disjoint Events

Question 43

Use the Addition Rule for Disjoint Events
Mutually exclusive events are not disjoint events.

Question 44

Use Simulation to Obtain Data Based on Probabilities
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment.

A) Empirical
B) Subjective
C) Classical
D) Conditional

Question 45

Use Simulation to Obtain Data Based on Probabilities

Question 46

Use Simulation to Obtain Data Based on Probabilities
Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that cab fares will rise during the winter is 0.05.

A) subjective probability
B) classical probability
C) empirical probability

Question 47

Use the Addition Rule for Disjoint Events

Question 48

Use the Addition Rule for Disjoint Events
The below table shows the probabilities generated by rolling one die 50 times and noting the up face. Is the event rolling an odd number and rolling a number less that or equal to two a disjoint event Answer Yes or No.

Question 49

Use Simulation to Obtain Data Based on Probabilities
The ______________ probability of an outcome is a probability based on personal judgment.

A) Subjective
B) Classical
C) Empirical
D) Conditional

Question 50

Use the Addition Rule for Disjoint Events
Using a standard deck of 52 playing cards are the events of getting an ace and getting a jack on the card drawn mutually exclusive Answer Yes or No.

A) Yes
B) No

Question 51

Use the Addition Rule for Disjoint Events
In the game of craps, two dice are tossed and the up faces are totaled. Is the event getting a total of 9 and one of the dice showing a 6 mutually exclusive Answer Yes or No.

A) No
B) Yes

Question 52

Use the Addition Rule for Disjoint Events

Question 53

Use the Addition Rule for Disjoint Events

Question 54

Use the Addition Rule for Disjoint Events
If two events have no outcomes in common they are said to be

A) Disjoint
B) Independent
C) Conditional
D) At odds

Question 55

Use Simulation to Obtain Data Based on Probabilities
Classify the statement as an example of classical probability, empirical probability, or subjective probability. It is known that the probability of hitting a pothole while driving on a certain road is 1%.

A) empirical probability
B) classical probability
C) subjective probability

Question 56

Use the Addition Rule for Disjoint Events
The below table shows the probabilities generated by rolling one die 50 times and noting the up face. What is the probability of getting an odd up face

Question 57

Use the Addition Rule for Disjoint Events
The events A and B are mutually exclusive. If P(A) = 0.5 and P(B) = 0.2, what is P(A or B)

A) 0.7
B) 0
C) 0.1
D) 0.3

Question 58

Use the Addition Rule for Disjoint Events

Question 59

Use Simulation to Obtain Data Based on Probabilities

Question 60

Use Simulation to Obtain Data Based on Probabilities
The ______________ probability of an outcome is obtained by dividing the number of ways an event can occur by the number of possible outcomes.

A) Classical
B) Subjective
C) Empirical
D) Conditional

Question 61

Use the General Addition Rule

Question 62

Use the General Addition Rule
Two dice are rolled. What is the probability of having both faces the same (doubles) or a total of 4 or 10 Round to the nearest hundredth.

A) 0.28
B) 0.33
C) 0.06
D) 0.15

Question 63

Compute the Probability of an Event Using the Complement Rule

Question 64

Compute the Probability of an Event Using the Complement Rule

Question 65

Compute the Probability of an Event Using the Complement Rule

Question 66

Use the General Addition Rule

Question 67

Use the Addition Rule for Disjoint Events
In the game of craps two dice are rolled and the up faces are totaled. If the person rolling the dice on the first roll rolls a 7 or an 11 total they win. If they roll a 2, 3, or 12 on the first roll they lose. If they roll any other total then on subsequent rolls they must roll that total before rolling a 7 to win. What is the probability of winning on the first roll

A) 0.22
B) 0.17
C) 0.06
D) 0.50

Question 68

Use the General Addition Rule

Question 69

Compute the Probability of an Event Using the Complement Rule

Question 70

Use the General Addition Rule

Question 71

Compute the Probability of an Event Using the Complement Rule

Question 72

Use the General Addition Rule
Consider the data in the table shown which represents the marital status of males and females 18 years or older in the United States in 2003. Determine the probability that a randomly selected U.S. resident 18 years or older is divorced or a male Round to the nearest hundredth.

Question 73

Use the General Addition Rule

Question 74

Compute the Probability of an Event Using the Complement Rule

Question 75

Compute the Probability of an Event Using the Complement Rule

Question 76

Use the General Addition Rule
If one card is drawn from a standard 52 card playing deck, determine the probability of getting a ten, a king or a diamond. Round to the nearest hundredth.

A) 0.37
B) 0.40
C) 0.31
D) 0.29

Question 77

Use the General Addition Rule
If one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack, a three, a club or a diamond. Round to the nearest hundredth.

A) 0.57
B) 0.65
C) 0.50
D) 0.15

Question 78

Use the General Addition Rule

Question 79

Use the General Addition Rule

Question 80

Use the General Addition Rule