Question

Three freshmen, 3 sophomores, 3 juniors, and 3 seniors are participating on the debate team. The team's captain is randomly selected from any grade level. What is the probability that a freshman will NOT be selected as captain?

A)
1
4
B)
1
3
C)
3
4
D)
5
6

Answer 1

c

Explanation:

Answer 2

C)
`(3)/(4)`

Explanation:

Given:

Number of freshmen = 3

Number of sophomores =3

Number of juniors =3

Number of seniors = 3

The team's captain is randomly selected from any grade level.

To find the the probability that a freshman will not be selected as captain.

Solution:

Total number of members in the team =
`3+3+3+3` = 12

Probability that a freshman will be selected as captain will be:

⇒
`(Number\ of\ freshmen)/(Total\ members)`

⇒
`(3)/(12)`

Reducing to simple fraction by dividing numerator and denominator by 3.

⇒
`(3/3)/(12/ 3)`

⇒
`(1)/(4)`

Thus, probability that a freshman will not be selected as captain will be given as:

⇒
`1-(1)/(4)`

Taking LCD.

⇒
`(4)/(4)-(1)/(4)`

Subtracting the numerators.

⇒
`(3)/(4)` (Answer)