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

Question

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 Blazers on the first try, what is the probability she will draw the name of another student from the Blazers on the second try?
A. one fifth
B. 1 over 8
C. 79 over 399
D. 1 over 80
14 / 21

Answer 1

The probability of the principal drawing a student from the Blazers team on the first try is 80/400 = 1/5.

After drawing a student from the Blazers team on the first try, there will be 79 students left on the Blazers team and 399 students left in total.

Therefore, the probability of drawing another student from the Blazers team on the second try is 79/399.

Simplifying this fraction, we get:

79/399 = (79/7) / (399/7) = 11/57

So the answer is not listed, but it is closest to option C (79/399).