One-third of the students in a room have blue eyes. Two-thirds of them have blond hair. What part of the students in the room has blond hair and blue eyes?
maybe none, if by "them" you mean all the students.
could be that
1/3 have blue eyes and brown hair
2/3 have brown eyes and blond hair
But, if you mean that 2/3 of the blue-eyed students have blond hair, then
1/3 * 2/3 = 2/9
Extra credit: what is the difference between blond and blonde?
To find the fraction of students in the room who have both blue eyes and blond hair, we need to find the intersection of the two fractions: one-third with blue eyes and two-thirds with blond hair.
Let's calculate:
Fraction with blue eyes = 1/3
Fraction with blond hair = 2/3
Now, to find the intersection (students with both blue eyes and blond hair), we multiply these fractions together:
(1/3) * (2/3) = 2/9
Therefore, 2/9 of the students in the room have both blue eyes and blond hair.
To find the proportion of students in the room with both blond hair and blue eyes, we need to find the intersection of these two groups.
Let's start by calculating the number of students with blue eyes. If one-third of the students have blue eyes, it means that one-third of the total number of students in the room have blue eyes.
Next, let's calculate the number of students with blond hair. If two-thirds of the students have blond hair, it means that two-thirds of the total number of students in the room have blond hair.
To find the proportion of students with both blond hair and blue eyes, we need to multiply the fractions representing the number of students with blue eyes and the number of students with blond hair, respectively. Multiplying fractions involves multiplying their numerators (the numbers on top) and their denominators (the numbers on the bottom).
So, the proportion of students in the room with both blond hair and blue eyes is obtained by:
(1/3) * (2/3) = 2/9
Therefore, two-ninths of the students in the room have both blond hair and blue eyes.