Question

A study conducted at a certain college shows that 72% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating.

Answer 1

Answer: 19.3%

Explanation:

If we randomly select 5 students, we know that each of them has a probability of 72% of finding a job in that year (or 0.72 in decimal form)

The joint probability in where the 5 of them have found a job, is equal to the product of the 5 probabilities:

P = 0.72*0.72*0.72*0.72*0.72 = 0.72^5 = 0.193

Where because all the students are in the same result, the number of permutations is only one.

If we want the percentage form, we must multiplicate it by 100%, and we have that P = 19.3%

Answer 2

19.3%

Explanation:

Assuming the events are independent, the probability of all five is ...

0.72^5 ≈ 0.19349 ≈ 19.3%