Question

grade levels of student council members

	number of students
grade 8	34

every day, two student council members are randomly chosen to read the morning announcements. students cannot be chosen more than once to read the announcements. jeremy designed a simulation for the selection of the students and gathered data to predict the probability that a seventh - grade student will be chosen. in jeremy’s simulation, he rolls two number cubes in each of 40 trials. in each trial, a cube landing on 1 or 2 represents a student in grade 7 being selected, and a cube landing on 3, 4, 5, or 6 represents a student in grade 8.
which statement best describes the flaw in jeremy’s model?
the number of sides on a cube does not match the number of grade levels.
the number of sides on a cube is not a factor of the total number of students.
the number of outcomes representing each grade level does not change after the first student is chosen.
the number of outcomes representing a student in grade 7 is not the same as the number representing a student in grade 8.

Explanation:

In the real - world situation, students cannot be chosen more than once. But in Jeremy's simulation with number cubes, the probability of a particular grade - level student being selected on the second roll does not account for the fact that the first student has already been chosen (i.e., the first selection affects the second selection in the real case, but not in the simulation). The number of available students of each grade changes after the first student is chosen, but in the cube - rolling simulation, the probabilities for each roll remain the same as if the first selection didn't occur.

Answer:

The number of outcomes representing each grade level does not change after the first student is chosen.