Question

The table below shows the number of boys and girls who passed or failed a recent test in history class. Passed Failed Boys 10 5 Girls 8 2 One person is chosen at random and is a boy. If passing the test is independent of gender, what is the probability that he passed the test? A) 0.32 B) 0.60 C) 0.67 D) 0.72

Answer 1

D) 0.72

Explanation:

Passed Failed

Boys 10 5

Girls 8 2

Passing the test is independent of gender, so the fact that he is a boy does not influence the answer. All that matters is the total number of students (boys and girls) who took the test, and the total number of students (boys and girls) who passed the test.

Total: 10 + 5 + 8 + 2 = 25

Passed: 10 + 8 = 18

p(passed) = 18/25 = 0.72

Answer: D) 0.72