Acers 18 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 schoolWith the computer program, it is possible to draw the name of the same student twiceIf 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?
If the principal selects the name of a student from the Blazers on the first try, there are now a total of 17 Blazers left in the pool of students. Therefore, the probability she will draw the name of another student from the Blazers on the second try is:
17 Blazers left / 399 total students left = 0.0426 or 4.26% probability
To find the probability that the principal will draw the name of another student from the Blazers on the second try, we need to calculate the probability of the event happening.
First, let's find the probability of selecting a student from the Blazers on the first try.
There are a total of 400 students in the school, and 18 of them are from the Blazers. So, the probability of selecting a Blazer student on the first try is:
P(Blazer on the first try) = (Number of Blazer students) / (Total number of students)
= 18 / 400
= 0.045
Since the principal uses a computer program that allows for the possibility of selecting the same student twice, the total number of students remains the same for the second draw. Therefore, the probability of selecting another student from the Blazers on the second try is also:
P(Blazer on the second try) = (Number of Blazer students) / (Total number of students)
= 18 / 400
= 0.045
So, the probability she will draw the name of another student from the Blazers on the second try is 0.045 or 4.5%.