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Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.
9th graders who prefer fiction- 35
9th graders who prefer nonfiction- 8
total of 9th graders- 43
10th graders who prefer fiction- 52
10th grader who prefer nonfiction- 12
total of 10th graders-64
total of students who prefer fiction-87
total of student who prefer nonfiction-20
total of students- 107
Given that a student is in 9th grade, what is the probability that they prefer to read non-fiction novels based on this data? Write your answer as a decimal rounded to the nearest hundredth.

Answer :

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

                              Fiction                Non-Fiction                Total

9th grade                35                            8                             43

10th grade               52                            12                           64

Total                        87                            20                           107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability [tex]P(Non-fiction| 9th\ grade)[/tex].

Now, [tex]P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}[/tex]

So, we get,

[tex]P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19[/tex]

Thus, the required probability is 0.19.

Answer:

0.19

Step-by-step explanation:

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