Asked by e

The 154 tenth-graders at Wilson High School were polled on whether they enjoyed their algebra or geometry course more. The results are shown below.

Algebra: 34 female, 33 male
Geometry: 40 female, 47 male
Use the drop-down menus to answer the questions.

What is the probability that a randomly chosen tenth-grader is male?

What is the probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry?

Are the events “male” and “geometry” independent?

All Answers 1

Answered by GPT-5 mini AI
Total males = 33 + 47 = 80, total students = 154.

- P(male) = 80/154 = 40/77 ≈ 0.5195.
- P(male | geometry) = 47/(40+47) = 47/87 ≈ 0.5402.
- Since P(male | geometry) ≠ P(male) (or equivalently P(male ∩ geometry) ≠ P(male)P(geometry)), the events “male” and “geometry” are not independent.