A test was given to a group of students. The grades and gender are summarized below ABCTotalMale1811837Female15131745Total33242582If one student is chosen at random from those who took the test, find the probability that the student was female GIVEN they got an 'A'. Write your answer as a reduced fraction.`P`(female `|` A) =

Given data; A B C Total Male 18 11 8 37 Female 15 13 17 45 Total 33 24 25 82

Answered: A test was given to a group of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 35E

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A test was given to a group of students. The grades and gender are summarized below

	A	B	C	Total
Male	18	11	8	37
Female	15	13	17	45
Total	33	24	25	82

If one student is chosen at random from those who took the test, find the probability that the student was female GIVEN they got an 'A'. Write your answer as a reduced fraction.

`P`(female `|` A) =

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A test was given to a group of students. The grades and gender are summarized below

	A	B	C	Total
Male	18	11	8	37
Female	15	13	17	45
Total	33	24	25	82

If one student is chosen at random from those who took the test, find the probability that the student was female GIVEN they got an 'A'. Write your answer as a reduced fraction.

`P`(female `|` A) =

Solution