Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)

Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

How to design the simulation?

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)