Testing students

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

A B C Total
Male 20 6 19 45
Female 17 18 13 48
Total 37 24 32 93

If one student is chosen at random,

a) Find the probability that the student got a B.

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

c) Find the probability that the student was female OR got a "B":

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

Correct answer:

a =  0.2581
b =  0.1398
c =  0.7204
d =  0.1333

Step-by-step explanation:

a=9324=0.2581
b=9313=0.1398
c=9348+3213=0.7204
d=456=0.1333



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