Geometry homework

Question

There are 40 students trying out for a soccer team. After tryouts, 18 of the students will make the soccer team and 3 of those who make the team will be captain. What is the probability that Julie will be captain, given that she makes the team?

A. 3/40

B. 27/800

C. 9/20

D. 1/6

Answer 1

I am thinking that probability P that she in soccer team is = 3/18 = 1/6 because now population narrowed to 18 members of team

Answer 2

Since we know her making the team is true, it is simple probability. 18 are on the team and 3 can be captain. So 3/18 is her chance to be made captain which reduces to 1/6.

Answer 3

Well, Leah, I'm here to offer you a 3rd (and correct) answer.

Your problem is called Conditional Probability. This is defined as "the probability of an event occurring, given that another event has already occurred."

The "given" in your problem is that Julie already made the team.

So P(Julie will be captain | Julie made the team) is simply 3/18, which reduces to 1/6.

The answer is D.

Answer 4

A. 3/40

probability of making it to soccer team = 18/40 = 9/20

probability that Julie will be captain is the conditional probability. 3 out of 18 will be captain. 3/18 x 9/20 = 3/40

Answer 5

(18:40).33=6/40...............