Question

Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.TeamNumber of StudentsAcers78Blazers80Outbacks83Quasars77Voyagers82Total400The 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?See Image

Answer 1

Take into account that the probability for a specific category is given by quotient between the number of elements in the category, over the total number of element in the total sample.

In this case, there are 78 students in Acers and the total number of students is 400. Then, the probability of selecting one student from Acers is:

`P=(78)/(400)`

By simplifying the previous fraction you get:

`P=(78)/(400)=(39)/(200)`

Now, consider that after the selection of the first student, the probability of selecting a second one will not change. Then, the answer is 39/200