Question

Evie was doing a science fair project by surveying her biology class. She found that of the 30 students in the class, 15 had brown hair and 17 had blue eyes and 6 had neither brown hair nor blue eyes. Determine the number of students who had brown hair and blue eyes. Use a Venn diagram to help sort the students if needed.

Answer 1

P(brown hair) + P(blue eyes) - P(brown hair and blue eyes) + P(neither brown hair nor blue eyes) = 30
15 + 17 + 6 - P(brown hair and blue eyes) = 30
P(brown hair and blue eyes) = 38 - 30 = 8
Therefore, there are 8 students that have brown hair and blue eyes.