The principal uses a computer to randomly select the name of a student from all the students in the school. With the computer program, it is possible to draw the name of the same student twice. If the principal selects the name of a student from the Acers on the first try, what is the probability she will draw the name of another student from the Acers on the second try?

Answer 1

Assuming there are a total of n students in the school and m of them are from the Acers, the probability of the principal selecting a student from the Acers on the first try is m/n.

Since the selection is done randomly with replacement (the same student can be selected multiple times), the probability of selecting another student from the Acers on the second try is also m/n. This is because the selection on the second try is independent of the first try and the pool of students remains the same.

Therefore, the probability the principal will draw the name of another student from the Acers on the second try is m/n.