A test was given to a group of students. The grades and gender are summarized below A C Total Male 8. 11 9. 28 Female 20 18 12 50 Total 28 29 21 78 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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A test was given to a group of students. The grades and gender are summarized below
A
Total
Male
8.
11
6.
28
Female
20
18
12
50
Total
28
29
21
78
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.
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Transcribed Image Text:A test was given to a group of students. The grades and gender are summarized below A Total Male 8. 11 6. 28 Female 20 18 12 50 Total 28 29 21 78 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'. 圓a 回
Expert Solution
Step 1

To calculate:

Probability that the student was female given that they got a B.

Using Conditional probability,

Pfemale|Got B=PfemaleGot BPGot B

Number of females who got B grade = 18

Total number of students who got B grade = 29

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