Respuesta :
Answer:
C) [tex]\frac{3}{4}[/tex]
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 = [tex]3+3+3+3[/tex] = 12
Probability that a freshman will be selected as captain will be:
⇒ [tex]\frac{Number\ of\ freshmen}{Total\ members}[/tex]
⇒ [tex]\frac{3}{12}[/tex]
Reducing to simple fraction by dividing numerator and denominator by 3.
⇒ [tex]\frac{3\div3}{12\div 3}[/tex]
⇒ [tex]\frac{1}{4}[/tex]
Thus, probability that a freshman will not be selected as captain will be given as:
⇒ [tex]1-\frac{1}{4}[/tex]
Taking LCD.
⇒ [tex]\frac{4}{4}-\frac{1}{4}[/tex]
Subtracting the numerators.
⇒ [tex]\frac{3}{4}[/tex] (Answer)
