Question

A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that the committee will consist of at least one student.​

Answer 1

99.96%

Explanation:

Given the information:

• 5 teachers

• 20 students

• 4 people in committee

=> the are 25 people in total

Hence, the total possible outcomes of all the members in the 4 committee:

`C^(4) _(25) = 12650`

They want us to find the probability that the committee will consist of at least one student, which means that

=(Total possible outcome - committee with no student) / Total possible outcomes

So we need to find the possible outcomes of committee with no student:

=
`C^(4) _(5) =5`

=> the probability that the committee will consist of at least one student.

= (12650 - 5) / 12650

= 0.9996

= 99.96%

Hope it will find you well.