A B C Total Male 2 16 6 24 Female 20 8 19 47 Total 22 24 25 71 If one student is chosen at random, Find the probability that the student got a B:    Find the probability that the student was female AND got a "A":    Find the probability that the student was female OR got an "C":    If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C':

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Giving a test to a group of students, the grades and gender are summarized below

  A B C Total
Male 2 16 6 24
Female 20 8 19 47
Total 22 24 25 71



If one student is chosen at random,

Find the probability that the student got a B:   

Find the probability that the student was female AND got a "A":   

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

If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C':   

Expert Solution
Step 1

Given that : 3×3 contingency table 

Here we use empirical probability

P(a) = n(a) / n(s) 

And conditions probability 

P{A/B} = P{ A and B }/ P(B) 

Additional rule of probability. 

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