A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space . Repeat when the second marble is drawn without replacing the first marble.

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Answer 1

Textbook Question

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Chapter 2, Problem 2.1P

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space. Repeat when the second marble is drawn without replacing the first marble.

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

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Answer 2

Textbook Question

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Chapter 2, Problem 2.1P

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space. Repeat when the second marble is drawn without replacing the first marble.

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

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Answer 3

Textbook Question

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Chapter 2, Problem 2.1P

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space. Repeat when the second marble is drawn without replacing the first marble.

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

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Answer 4

Textbook Question

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Chapter 2, Problem 2.1P

A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space. Repeat when the second marble is drawn without replacing the first marble.

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

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Answer 5

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Answer 6

Textbook Question

100%

Answer 7

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Answer 8

Expert Solution & Answer

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To find: The sample space of given experiment with replacement and without

replacement.

Answer 12

Answer to Problem 2.1P

The sample space with replacement

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

The sample space without replacement $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Answer 13

Explanation of Solution

Given information:

Consider box contains three marbles. They are $1$ Red marble $(R)$ , $1$ Green marble $(G)$ , $1$

Blue marble $(B)$ .

Calculation:

Sample space is the set of all possible outcomes of a random experiment.

Consider the experiment of drawing two marbles one after another with replacement.

Total number of outcomes $=32$

Then, the sample space is given by

$={(R,R),(R,G),(R,B),(G,G),(G,R),(G,B),(B.,B),(B,R),(B,G)}$

Consider the experiment of drawing two marbles one after another without replacement.

Total number of outcomes $=3×2=6$

Then, the sample space is given by $={(R,G),(R,B),(G,R),(G,B),(B,R),(B,G)}$

Answer 14

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A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box and drawing a second marble from the box. Describe the sample space . Repeat when the second marble is drawn without replacing the first marble.

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Answer to Problem 2.1P

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