We are given a two-way table below that shows the number of students with each hair color and eye color.
Let us analyze each of the given options.
Option (A):
5/60 of the participants surveyed have hazel eyes and blond hair.
From the table, the number of people who have hazel eyes and blond hair is 1 and the total number of people is 60
So, the probability of having hazel eyes and blond hair is 1/60
Therefore, option A is not true.
Option (B):
8.3% of the participants surveyed have hazel eyes and brown hair.
From the table, the number of people who have hazel eyes and brown hair is 5 and the total number of people is 60
So, the probability of having hazel eyes and brown hair is 5/60
Therefore, option B is true.
Option (C):
1/60 of the participants surveyed have blue eyes.
From the table, the row total of blue eyes is 21, and the total number of people is 60
So, the probability of having blue eyes is 21/60
Therefore, option C is not true.
Option (D):
28/60 of the participants surveyed have brown hair.
From the table, the column total of brown hair is 28, and the total number of people is 60
So, the probability of having brown hair is 28/60
Therefore, option D is true.
Option (E):
52% of the participants surveyed have red hair.
From the table, the column total of red hair is 7, and the total number of people is 60
So, the probability of having red hair is 7/60
Therefore, option E is not true.
So, only options B and D are true.