The numbers 0–7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched television last night?

Step-by-step explanation:

We have total of 10 students - 8 watching TV and 2 not watching.

We need to randomly select 4 students, from which half watched and half did not watch TV,

So if we have 4 slots for students, and for each one we randomly choose a student. For first 2 slots lets assume we want to get those who watched TV, then probabilities for those are:

[1]

for second one, we do the same, but removing already choosen student in [1]:

[2]  

now we have 2 slots left and 8 student left, out of which all have watched TV. So we have 100% that we will randomly choose 2 more studets, who watched TV.

So total probability is:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.