Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 17 5 2 24
Female 7 11 12 30
Total 24 16 14 54
If one student was chosen at random,
find the probability that the student was female.
(total females)/(total students)
To find the probability that the randomly chosen student is female, we need to determine the total number of students and the total number of female students.
From the given data, we can see that the total number of students is 54 (as mentioned in the "Total" row of the table).
The total number of female students is given as 30 (as mentioned in the "Total" column for the female row).
To find the probability, we divide the number of favorable outcomes (female students) by the total number of outcomes (total number of students).
Therefore, the probability of the randomly chosen student being female is:
Probability = Number of favorable outcomes / Total number of outcomes
= Number of female students / Total number of students
= 30 / 54
= 5 / 9
So, the probability of the student being female is 5/9.