Kris wanted to understand whether studentstudents at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below:

 
In favor
Opposed
Undecided
Grade 9
6
4
8
Grade 10
10
11
9
Grade 11
12
15
11
Grade 12
15
6
14


If the principal randomly selects a student in grade 10 from this survey, what is the probability that the student is opposed to extending the school day?

Respuesta :

The probability should be 36.67% if the number of people in tenth grade who replied 'opposed' is 11 and the principal is only selecting from grade 10.

Answer:

The probability that the student is opposed to extending the school day is 0.3666 or 36.67% approx.

Step-by-step explanation:

Arranging the table properly and adding a column of total students.

                          In favor      Opposed      Undecided      Total students

Grade 9                6                4                    8                       18

Grade 10               10               11                   9                       30

Grade 11                12               15                   11                      38

Grade 12                15               6                   14                      35

If the principal randomly selects a student in grade 10 from this survey, this means we will only consider grade 10 students.

The probability that the student is opposed to extending the school day is = [tex]\frac{number of opposed students}{total number of students}[/tex]

There are 11 students who are opposed and total students in grade 10 are 30.

So, probability is : [tex]\frac{11}{30}= 0.3666[/tex] or 36.67% approx.