The sample space for the given experiment.

Question

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Answer 1

Question

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

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Answer 2

Question

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

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Answer 3

Question

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

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Answer 4

Question

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

Answer 6

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

Answer 7

Chapter 4.1, Problem 1E

To determine

To find:

The sample space for the given experiment.

Answer 8

Expert Solution & Answer

Answer to Problem 1E

Solution:

The sample space when two coins are tossed is

S={HH,TH,HT,TT}

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given:

An experiment of tossing two coins.

Approach:

A probability experiment (also called random experiment) is defined as any process whose outcome can be any one of all the possible outcomes, which depends entirely on chance. An outcome is defined as the result of the experiment. A set of all possible outcomes of an experiment is called a sample space.

There are only two possible outcomes in tossing a coin, i.e. heads or tails. Let the occurrence of a head be denoted by ‘H’ and the occurrence of a tail be denoted by ‘T’. When two coins are tossed, there can only be four possible outcomes – both the coins show heads, 1^st coin shows head and 2^nd coin shows tail, 1^st coin shows tail and 2^nd coin shows head, and both the coins show tails. Therefore, the sample space (denoted by S) becomes,

S={HH,TH,HT,TT}

Answer 12

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

The sample space for the given experiment.

To find: The sample space for the given experiment.

Answer to Problem 1E

Explanation of Solution

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Chapter 4 Solutions

To find:

The sample space for the given experiment.