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 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
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).
To calculate the probability of drawing the name of another student from the Blazers on the second try, we need to determine the number of students in the Blazers team and the total number of students in the school.
We are given that there are 80 students in the Blazers team.
The total number of students in the school is 400.
Since the principal can draw the same student twice, we need to subtract 1 from the number of students in the Blazers team for the second draw.
So, the probability will be:
(Number of students in the Blazers team - 1) / (Total number of students in the school - 1)
= (80 - 1) / (400 - 1)
= 79 / 399
Therefore, the correct answer is C. 79 over 399.