21% of the students had a score of 80/100 or higher on both midterms. 25% had a score of 80/100 or higher on midterm 1. what percentage of the students who had score of 80/100 or higher on midterm 1 had a score of 80/100 or higher on midterm 2

Question

Billie

Mathematics

21 June, 13:12

21% of the students had a score of 80/100 or higher on both midterms. 25% had a score of 80/100 or higher on midterm 1. what percentage of the students who had score of 80/100 or higher on midterm 1 had a score of 80/100 or higher on midterm 2

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Answers (2)

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Boomer · Answer 1

84% of students who had score of 80/100 or higher on midterm 1

Mila Turner · Answer 2

Let event A = high score on midterm1.

Let event B = high score on midterm2.

You want P (B|A).

P (B|A) = P (B&A) / P (A)

P (B|A) = 0.21/0.25

P (B|A) = 84%

84% of students who had a high score on midterm1 had a high score on midterm 2.