NOW TRY THIS a. In an experiment of tossing a fair die once, what is the sum of the probabilities of all the distinct outcomes in the sample space ? b. Does the sum of the probabilities of all the distinct outcomes of any sample space always result in same number? c. What is the probability of the spinner in Figure 5 landing on Red? Why?

Question

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Answer 1

Textbook Question

Chapter 9, Problem 1NT

NOW TRY THIS

a. In an experiment of tossing a fair die once, what is the sum of the probabilities of all the distinct outcomes in the sample space?

b. Does the sum of the probabilities of all the distinct outcomes of any sample space always result in same number?

c. What is the probability of the spinner in Figure 5 landing on Red? Why?

Chapter 9, Problem 1NT, NOW TRY THIS a. In an experiment of tossing a fair die once, what is the sum of the probabilities of

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

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Students have asked these similar questions

Let X be a random variable taking values in (0,∞) with proba-bility density functionfX(u) = 5e^−5u, u > 0.Let Y = X2 Total marks 8 . Find the probability density function of Y .

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OR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χ

Answer 2

Textbook Question

Chapter 9, Problem 1NT

NOW TRY THIS

a. In an experiment of tossing a fair die once, what is the sum of the probabilities of all the distinct outcomes in the sample space?

b. Does the sum of the probabilities of all the distinct outcomes of any sample space always result in same number?

c. What is the probability of the spinner in Figure 5 landing on Red? Why?

Chapter 9, Problem 1NT, NOW TRY THIS a. In an experiment of tossing a fair die once, what is the sum of the probabilities of

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

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

Answer 3

Textbook Question

Chapter 9, Problem 1NT

NOW TRY THIS

a. In an experiment of tossing a fair die once, what is the sum of the probabilities of all the distinct outcomes in the sample space?

b. Does the sum of the probabilities of all the distinct outcomes of any sample space always result in same number?

c. What is the probability of the spinner in Figure 5 landing on Red? Why?

Chapter 9, Problem 1NT, NOW TRY THIS a. In an experiment of tossing a fair die once, what is the sum of the probabilities of

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

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

Answer 4

Textbook Question

Chapter 9, Problem 1NT

NOW TRY THIS

a. In an experiment of tossing a fair die once, what is the sum of the probabilities of all the distinct outcomes in the sample space?

b. Does the sum of the probabilities of all the distinct outcomes of any sample space always result in same number?

c. What is the probability of the spinner in Figure 5 landing on Red? Why?

Chapter 9, Problem 1NT, NOW TRY THIS a. In an experiment of tossing a fair die once, what is the sum of the probabilities of

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

Want to see more full solutions like this?

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

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

Answer 8

Expert Solution

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

a.

To explain:

The sum of all the distinct outcomes in the sample space.

Answer 13

Answer to Problem 1NT

Solution:

The sum of probabilities of all the distinct outcomes in the sample space is always 1.

Answer 14

Explanation of Solution

Given:

A fair die is tossed once.

Approach:

By calculating the probability for each event and taking the sum or by using the result that the sum of probabilities of all the events of sample space is 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Answer 15

Expert Solution

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

b.

To explain:

Whether the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number.

Answer 20

Answer to Problem 1NT

Solution:

Yes the sum of all the probabilities of all the distinct outcomes of any sample space always result in same number equal to 1.

Answer 21

Explanation of Solution

Approach:

As the probability is the no. of times event happened divided by total events and when the sum is taken for all probabilities it gives 1.

Calculation:

As on tossing a fair die sample space is S={1,2,3,4,5,6} and probability for each outcome is equal to 16 and taking the sum gives 16+16+16+16+16+16=1.

Answer 22

Expert Solution

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.

Answer 23

Expert Solution

Answer 24

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

c.

To explain:

The probability of spinner landing on Red.

Answer 27

Answer to Problem 1NT

Solution:

The probability of spinner landing on red is nearly 13 as one third part of the circle is covered with Red color.

Answer 28

Explanation of Solution

Given:

A following spinner is given:

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition), Chapter 9, Problem 1NT

Approach:

By calculating the area covered by the color Red and taking the probability of it by whole area.

Calculation:

As the area of the Red part is nearly third part of the total area of the circle so the probability of getting red color on spinner is 13.