One hundred people were surveyed about their preference. They had to choose between french toast and pancakes and between sausage and bacon. The results are shown in the table below.

Category french toast pancakes
sausage 25 21
bacon 23 31
1. What is the probability that a randomly selected person from the survey prefers bacon? 23/100, 31/00, 27/50, or 23/50
2. What is the probability that a randomly selected person from the survey prefers bacon or pancakes? 3/4, 53/50,1/4 or 11/25
3. What is the probability that a randomly selected person from the survey prefers bacon and pancakes? 7/25,3/4, 69/100 or 31/100
4. What is the probability that a randomly selected person from the survey prefers french toast given that they prefer french toast? 1/4, 25/46, 12/25 or 23/50
5. What is the probability that a randomly selected person from the survey prefers sausage given that they prefer french toast? 24/25, 31/100, 1/4 or 25/48

Respuesta :

Answer:

1.27/50

2.3/4

3.31/100

4.25/46

5.25/48

I know this because I got them right when I took the quiz



Step-by-step explanation:


Using it's concepts, it is found that the probabilities are:

1. 27/50

2. 3/4

3. 31/100

4. 25/46

5. 25/48

A probability is the number of desired outcomes divided by the number of total outcomes.

Item 1:

54 out of 100 people prefer bacon, hence:

[tex]p = \frac{54}{100} = \frac{27}{50}[/tex]

Item 2:

Out of 100 people, 54 prefer bacon, 21 prefer sausage but pancakes, hence 54 + 21 = 75 desired outcomes, hence:

[tex]p = \frac{75}{100} = \frac{3}{4}[/tex]

Item 3:

31 out of 100 people prefer bacon and pancakes, hence:

[tex]p = \frac{31}{100}[/tex]

Item 4:

Out of 46 people that prefer sausage, 25 prefer french toast, hence:

[tex]p = \frac{25}{46}[/tex]

Item 5:

Out of 48 people that prefer french toast, 25 prefer sausage, hence:

[tex]p = \frac{25}{48}[/tex]

A similar problem is given at https://brainly.com/question/15536019

Q&A Education