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 female.
Primary Career Motivation
Money
Allowed to be Creative
Sense of
Giving to Society
Total
Male
18
17
40
75
Female
12
6
7
25
Total
30
23
47
100
The probability of selecting a female student can be found by dividing the number of female students by the total number of students.
The number of female students is given as 25.
The total number of students is given as 100.
Therefore, the probability of selecting a female student is 25/100 = 1/4.
To find the probability that a randomly selected student is female, we can divide the number of female students by the total number of students.
Given:
Total number of students = 100
Number of female students = 25
Probability = Number of favorable outcomes / Total number of outcomes
Probability of selecting a female student = number of female students / total number of students
Probability of selecting a female student = 25 / 100
Simplifying the expression:
Probability of selecting a female student = 1/4
Therefore, the probability that the student selected at random is female is 1/4 or 0.25.
To find the probability of selecting a female student at random, you need to use the total number of female students divided by the total number of students.
In the given table, the total number of female students is 25. And the total number of students (both male and female) is 100.
So, the probability of selecting a female student at random is:
Probability = Number of female students / Total number of students
Probability = 25 / 100
Probability = 0.25
Therefore, the probability of selecting a female student at random is 0.25 or 25%.