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

Answer:

C)  $\frac{3}{4}$

Step-by-step 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:

⇒   $\frac{Number\ of\ freshmen}{Total\ members}$

⇒ $\frac{3}{12}$

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

⇒ $\frac{3\div3}{12\div 3}$

⇒ $\frac{1}{4}$

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

⇒ $1-\frac{1}{4}$

Taking LCD.

⇒ $\frac{4}{4}-\frac{1}{4}$

Subtracting the numerators.

⇒ $\frac{3}{4}$     (Answer)

Answer 2

Answer:

c

Step-by-step explanation: