Of all the students in a particular class, 50% have blue eyes. We want to run a simulation to predict how many blue eye students will be chosen if we randomly select 10 students. First, we need to assign digits to students that have blue eyes and students that do not have blue eyes. If we were to use single digits to represent both, which of the following would be a correct method of assigning these digits?

A. blue eyes: 0, 1, 2, 3 other: 4, 5, 6, 7, 8, 9
B. blue eyes: 1, 2, 3, 4 other: 5, 6, 7, 8, 9, 10
C. blue eyes: 1, 2, 3, 4, 5 other: 6, 7, 8, 9, 10
D. blue eyes: 0, 1, 2, 3, 4 other: 5, 6, 7, 8, 9

There are 10 single-digit numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

This means that answers B and C can be eliminated, as 10 is not a single-digit number.

Because 50% of the class has blue eyes, you must find 50% of 10 to find how many single-digit numbers to assign to the blue eyes group:

[tex]50 \div 100 = 0.5[/tex]
[tex]0.5 \times 10 = 5[/tex]

5 numbers will be assigned to the blue eyes group.

The only answer that has 5 single-digit numbers in the blue eyes group is D. blue eyes: 0, 1, 2, 3, 4 other: 5, 6, 7, 8, 9.