Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 16 20 15 51 Female 19 11 4 34 Total 35 31 19 85 If one student is chosen at random, a) Find the probability that the student got an A: b) Find the probability that the student was female AND got a "B": c) Find the probability that the student was female OR got an "C": d) If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Giving a test to a group of students, the grades and gender are summarized below

A B C Total
Male 16 20 15 51
Female 19 11 4 34
Total 35 31 19 85


If one student is chosen at random,

a) Find the probability that the student got an A:

b) Find the probability that the student was female AND got a "B":

c) Find the probability that the student was female OR got an "C":

d) If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:

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