[The narrator reads out the onscreen text.]
NARRATOR: Question two. The eye colour and gender of 300 people was recorded. The results are shown in the table below.
[The table shows that: 40 males and 80 females have blue eyes, 50 males and 70 females have brown eyes, 10 males and 10 females have green eyes, and 20 males and 20 females have grey eyes.]
NARRATOR: A person is chosen at random from the 300. Find the relative frequency of a male and grey eyes, b blue eyes or brown eyes, c female and green eyes, d green eyes or female.
Part a. Find the relative frequency of male and grey eyes. We can see from the table that there are 20 males with grey eyes. So the relative frequency of male and grey eyes is 20 out of 300, which simplifies to one-fifteenth.
Part b. Find the relative frequency of blue eyes or brown eyes. We can see from the table that there are 120 people with blue eyes and also 120 people with brown eyes. So there are 240 people who have blue or brown eyes. So the relative frequency is equal to 240 out of 300, which simplifies to four-fifths.
Part c. Find the relative frequency of female and green eyes. We can see from the table that there are 10 females with green eyes. So the relative frequency is 10 out of 300, which simplifies to one-thirtieth.
Part d. Find the relative frequency of green eyes or female. We can see from the table that there are 10 plus 80 plus 70 plus 10 plus 20 people who are female or have green eyes. This gives a total of 190. So the relative frequency of people who are female or have green eyes is 190 out of 300, which simplifies to 19 out of 30.