Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?

Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60

Question

Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?

Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A. 
0.29
B. 
0.51
C. 
0.58
D. 
0.60

Vocaloid · Answer

previous solution was removed for plagiarism

that being said, this is a conditional probability. " if a girl is randomly selected, what is the probability that she will have above-average grades?" it is given that a girl is selected, so the denominator should be the total number of girls

out of that set, we want the girls who have above-average grades

so check the two-way table, find (number of girls who have above average grades) and divide by the total # of girls