Question

Four of the seven students are from Middle Georgia State College. What is the probability that both of the interviewed students are from Middle Georgia State College? Express your answer as a reduced fraction or decimal rounded to at least four decimal places.

Answer 1

The required value is 0.286 and $\dfrac{2}{7}$

Step-by-step explanation:

Since we have given that

Number of students = 7

Number of students are from Middle Georgia State College = 4

So, Probability that both of the interviewed students are from Middle Georgia State College is given by

$\dfrac{4}{7}\times \dfrac{3}{6}\\\\=\dfrac{4}{7}\times \dfrac{1}{2}\\\\=\dfrac{2}{7}\\\\=0.286$

Hence, the required value is 0.286 and $\dfrac{2}{7}$

Answer 2

The probability that both of the interviewed students is P = 0.286.

How to get the probability?

Assuming that all the students have the same probability of being interviewed, the probability that a student is from Middle Georgia State College is given by the quotient between the number of students that are from that college and the total number of students.

In this case, there are 7 students in total, and 4 of them are from te Middle Georgia State College, so the probability is:

p = 4/7.

Now we need to select another student, now there are a total of 6 students and 3 of them are from the College, so this time the probability is:

q = 3/6

The joint probability is the product of the two individual probabilities, this is:

P = (4/7)*(3/6) = 0.286

If you want to learn more about probability, you can read:

https://brainly.com/question/251701