Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 9 13 6 28
Female 20 19 2 41
Total 29 32 8 69
If one student is chosen at random, Find the probability that the student got a C: Correct Find the probability that the student was female AND got a "C": Correct Find the probability that the student was male OR got an "B": Correct If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are female:______.

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fichoh fichoh · Answer 1 · 2020-10-01T18:30:50+02:00

Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

Total___ 29__ 32___ 8____ 69

If one student is chosen at random,

Find the probability that the student got a C:

P(getting C) = (number of C's) / total number

P(getting C) = 8 / 69

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

P(female and C):

(number of female who got C / total number)

= 2 / 69

Find the probability that the student was male OR got an "B":

P(male OR B) :

(Number of males or B) = (28 + 32) - 13 = 47

= 47 / 90

find the probability that the student got a 'C' GIVEN they are female:______.

P(C given they are female) :

This is the proportion of females who got C

Total Number of females = 41

Females who got C = 2

Hence,

P(C given they are female) = 2 / 41