Question

Six of the nine 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

Answer: 5/12

Explanation:

Six of the nine students are from Middle Georgia State College.

The probability that the first student that's interviewed is from Middle Georgia State College will be 6/9.

Now, when the second student is picked, there'll be 8 students left out of which 5 will be from Middle Georgia State College. Therefore, the probability of choosing someone from there is 5/8.

Now, the probability that both of the interviewed students are from Middle Georgia State College will be:

= 6/9 × 5/8

= 2/3 × 5/8

= 10 / 24

= 5/12