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

A. 9/20

B. 1/6

C. 3/40

D. 27/800

Respuesta :

TwixCPA8
The answer is B: 1/6 because the probability will be 3/18. Simplified, it's 1/6. Hope this helped!

The probability that Julie will be a captain, given that she makes the team is 1/3.

The correct answer is option B.

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given example,

18 of 40 students will make the soccer team.

⇒ n(S) = 18

Let event A: Julie will be a captain, given that she makes the team

⇒ n(A) = 3

So, the probability that Julie will be a captain, given that she makes the team,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 3/18

⇒ P(A) = 1/6

Therefore, the probability that Julie will be a captain, given that she makes the team is 1/3.

The correct answer is option B.

Learn more about probability here:

brainly.com/question/11234923

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