Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.

Team, Number of Students

Acers, 78

Blazers, 80

Outbacks, 83

Quasars, 77

Voyagers, 82

Total 400

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 Voyagers on the first try, what is the probability she will draw the name of a student from the Voyagers on the second try?

A. 81/399

B. 41/200

C. 1/82

D. 21/100

1 answer

Since the probability of drawing any one student on the first try is the same for each student, the probability of drawing a student from the Voyagers on the first try is $\dfrac{82}{400} = \dfrac{41}{200}$.

If the first student drawn is from the Voyagers, there will be 81 students from the Voyagers left, and a total of 399 students left in the school. Therefore, the probability of drawing a student from the Voyagers on the second try is $\dfrac{81}{399}$.

Hence, the answer is $\boxed{\textbf{(A)}\ 81/399}$.