You are not logged in.
Pages: 1
A team of 5 persons is to be selected from 3 lecturers and 6 students to participate in the "SuperTeam" Competition. What is the probability that the team consists of at least 3 students ?
Offline
There are (9 choose 5) ways of selecting the team. That's 126.
You want to know what are the chances of having 3, 4, or 5 students on the team. You can calculate each of those cases and add them together or you can calculate the probability of only have 2 students on the team and then subtracting it from 1.
Number of different teams consistenting of 3 lecturers and 2 students:
(3 choose 3) * (6 choose 2) = 1 * 15 = 15
So 15/126 (.119) is the probability of having 3 lectures and 2 students.
1 - 15/126 (.881) is the probability of having 3, 4 or 5 students on the team.
Offline
Pages: 1