SOLUTION: Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places. Grades and Gender A B C Total Male 11 3 10 24 Fem

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Question 1178743: Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places.
Grades and Gender
A B C Total
Male 11 3 10 24
Female 19 20 16 55
Total 30 23 26 79
If one student is chosen at random,
a. Find the probability that the student was female:

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

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 an 'B' GIVEN they are female:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
        A  B C Total
Male   11  3 10  24
Female 19 20 16  55
Total  30 23 26  79
If one student is chosen at random,
a. Find the probability that the student was female: 
P = 55/79

b. Find the probability that the student was female AND got a "B": 
P =(20/79)

c. Find the probability that the student was female OR got a "B": 
P = 55/79 + 23/79 -  20/79 = 58/79 

d. If one student is chosen at random, find the probability 
that the student got an 'B' GIVEN they are female: 
P = %2820%2F79%29%2F%2855%2F79%29 = 20/55

Wish You the Best in your Studies.