Question

A study of hair and eye color at the University of Delaware revealed that 21.4% of students had blond hair and 36.3% had blue eyes. Of the entire group, 15.9% had both blond hair and blue eyes. a) Draw an appropriate diagram (tree or Venn) for this problem, including all of the probabilities. b) What proportion of the students had blue eyes but did not have blond hair?

Answer 1

a) Here is the venn diagram

b) What proportion of the students had blue eyes but did not have blond hair?

proportion of the students had blue eyes but did not have blond hair = proportion of the students had blue eyes - proportion of the students had blue eyes and have blond hair

proportion of the students had blue eyes = 36.3% = 0.363

proportion of the students had blue eyes and have blond hair = 15.9% = 0.159

proportion of the students had blue eyes but did not have blond hair = 0.363 - 0.159

proportion of the students had blue eyes but did not have blond hair = 0.204