60% of the students in Mr. MacGregor's class did not earn a As on their final projects. 7% of the students who received As on their final projects also received As on their final exams. Find the probability that a student chosen at random received an A on both the final exam and the final project.

Question

Azul Powers

Mathematics

15 July, 01:57

60% of the students in Mr. MacGregor's class did not earn a As on their final projects. 7% of the students who received As on their final projects also received As on their final exams. Find the probability that a student chosen at random received an A on both the final exam and the final project.

+1

Answers (1)

Know the Answer?

Darcy · Answer 1

Given:

60% of the students did not earn As on their final project.

7% of students who received As on their final project also received As on their final exam.

2.8% is the Probability that a student chosen at random received an A on both final exam and final project.

100% - 60% = 40% of the students earned As on their final project.

7% of the 40% also received As on their final exam.

40% * 7% = 2.8%