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?

Answer 1

Answer:3/4

Explanation:

Answer 2

3/4

Explanation:

probability of any event =
`(number of favourable outcomes)/(total number of outcomes)`

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

∴the total number of participants = 12

P(freshman is a captain) =
`(number of freshmen)/(total number of participants)`

=
`(3)/(12)`

=
`(1)/(4)`

P (freshman is not a captain) = 1 -
`(1)/(4)`

=
`(3)/(4)`

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