Answer:
If the committee must consist at least one student, the probability is 99.96%
Step-by-step explanation:
Given;
number of teachers = 5
number of students = 20
Total number of committee members = 25
Possible outcome of all the members in the 4 committee = 25C₄ ways
= 12650
If the committee must consist at least one student, then the possible outcome;
= Total possible outcome - committee with no student
= 25C₄ ways - 5C₄ ways (all committee members are teachers)
= 12650 - 5
= 12645
The probability that the committee will consist at least one student;
= 12645 / 12650
= 0.9996
= 99.96%
Therefore, if the committee must consist at least one student, the probability is 99.96%
