To find the probability that the student selected is male, given that their primary motivation is a sense of giving to society, we need to look at the table and find the intersection of the "Sense of Giving to Society" row and the "Male" column.
The number in the intersection of these categories is 11.
The total number of students with a primary motivation of a sense of giving to society is 43.
To find the probability, we divide the number of students in the intersection by the total number of students in the "Sense of Giving to Society" row:
P(Male | Sense of Giving to Society) = 11/43 ≈ 0.26
Therefore, the probability that the student selected is male, given that their primary motivation is a sense of giving to society, is approximately 0.26.
One hundred college seniors attending a career fair at a university were categorized according to gender and according to primary career motivation. The table below shows the results. If one of these students is to be selected at random, find the probability that the student selected is male, given that their primary motivation is a sense of giving to society.
Primary Career Motivation
Money
Allowed to be Creative
Sense of
Giving to Society
Total
Male
18
14
11
43
Female
4
21
32
57
Total
22
35
43
100
1 answer