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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 prefers fiction novels, what is the probability that they are also in 10th grade based on this data? Write your answer as a decimal rounded to the nearest hundredth.

Respuesta :

Count the total number of students who prefer fiction novels: In 9th grade there are 35, in 10th grade there are 52, so there are 87 students who prefer fictions. The proportion of 10th grade students out of these 87 students is 52/87=0.60 approximately.

The probability that they are also in 10th grade based on this data is 0.19.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

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.

The probability that they are also in 10th grade based on this data is;

[tex]\rm P(A|B)=\dfrac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\dfrac{8}{13}\\\\ P(A|B)=0.19[/tex]

Hence, the probability that they are also in 10th grade based on this data is 0.19.

To know more about probability click the link given below.

https://brainly.com/question/8291849

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