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?

Respuesta :

Answer:

3/4

Step-by-step explanation:

probability of any event = [tex]\frac{number of favourable outcomes}{total number of outcomes}[/tex]

3 freshmen + 3 sophomores + 3 juniors + 3 seniors = 12 participants

∴the total number of participants = 12

P(freshman is a captain) = [tex]\frac{number of freshmen}{total number of participants}[/tex]

                                       = [tex]\frac{3}{12}[/tex]

                                       =[tex]\frac{1}{4}[/tex]

P (freshman is not a captain) = 1 - [tex]\frac{1}{4}[/tex]

                                                 = [tex]\frac{3}{4}[/tex]

whenever the probability of an event not happening is being calculated, always subtract the possibility of the occurrence of such event from 1

Answer:3/4

Step-by-step explanation: