Question

Six of the nine students are from middle gerogia state college. What is the probability that all three interviewed students are from middle georgia state college

Answer 1

Answer:

0.2381 = 23.81%

Step-by-step explanation:

To calculate this probability, we can calculate the probability of each student of the 3 students interviewed being from middle georgia state college.

If inicially there are six students from middle georgia state college among the nine students, the probability of the first student chosen being from middle georgia state college is 6/9.

Then, as one student was already picked, we have now 5 students from middle georgia state college in a total of 8 students, so the probability of the second student will be 5/8.

In the same way, the third student will be picked in a group of 7 students, where 4 are from middle georgia state college, so the probability is 4/7.

Multiplying all the probabilities, we have the probability of all three students interviewed being from middle georgia state college:

P = (6/9) * (5/8) * (4/7) = 120/504 = 0.2381 = 23.81%