Three coins are tossed. Give an example of a simple event . Give an example of a joint event. What is the complement of a head on the first toss? What does the sample space consist of?

Question

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Answer 1

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer 2

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer 3

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer 4

Textbook Question

Chapter 4, Problem 4.1LB

Three coins are tossed.

Give an example of a simple event.
Give an example of a joint event.
What is the complement of a head on the first toss?
What does the sample space consist of?

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 8

a)

Expert Solution

To determine

To provide an example of a simple event.

Answer to Problem 4.1LB

Getting a head on first coin.

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

Answer 9

a)

Expert Solution

Answer 10

a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To provide an example of a simple event.

Answer 13

Answer to Problem 4.1LB

Getting a head on first coin.

Answer 14

Explanation of Solution

Given:

3 Coins tossed

A simple event refers to the event that occur one at a time and have only one outcome at a time.

The example of the simple event is “Getting a head on first coin.”

Answer 15

b)

Expert Solution

To determine

To provide an example of a joint event.

Answer to Problem 4.1LB

Getting a head on first and third coin.

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

Answer 16

b)

Expert Solution

Answer 17

b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To provide an example of a joint event.

Answer 20

Answer to Problem 4.1LB

Getting a head on first and third coin.

Answer 21

Explanation of Solution

A joint event means when two events occur at a time.

The example of the simple event is “Getting a head on first and third coin.”

Answer 22

c)

Expert Solution

To determine

To provide an example of a compliment event.

Answer to Problem 4.1LB

Tail on the first toss.

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

Answer 23

c)

Expert Solution

Answer 24

c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

To provide an example of a compliment event.

Answer 27

Answer to Problem 4.1LB

Tail on the first toss.

Answer 28

Explanation of Solution

Complementary events are refers to the event when there are two outcomes like having a job or not having a job.

The complimentary event of head on first toss is that “tail on the first toss.”

Answer 29

d)

Expert Solution

To determine

To explain the sample space.

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 30

d)

Expert Solution

Answer 31

d)

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

To explain the sample space.

Answer 34

Answer to Problem 4.1LB

{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Answer 35

Explanation of Solution

A sample space is a set of all the possible outcomes of an experiment.

The sample space for the given three coins experiment is given below:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Answer 36

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Three coins are tossed. Give an example of a simple event . Give an example of a joint event. What is the complement of a head on the first toss? What does the sample space consist of?

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