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

Mathematics

Kathy Kaiser

2 April, 15:10

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.

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Answers (1)

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Kyler Harmon · 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%