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.
7/54
30/54
To find the probability that the student chosen at random is female, we need to calculate the ratio of the number of female students to the total number of students.
From the table given, we can see that there are 30 female students out of a total of 54 students.
Therefore, the probability that the student chosen at random is female is:
Number of female students / Total number of students
= 30 / 54
Simplifying the ratio, we get:
= 5 / 9
So, the probability that the student chosen at random is female is 5/9.
To find the probability that the student chosen at random is female, we need to use the information given in the table.
First, let's find the total number of students in the group. According to the table, the total number of students is 54.
Next, we need to find the total number of female students. According to the table, there are 30 female students.
To find the probability, we divide the number of favorable outcomes (female students) by the total number of possible outcomes (total students).
Therefore, the probability that the student chosen at random is female is:
Probability = Number of female students / Total number of students
Probability = 30 / 54 = 0.5556 (rounded to 4 decimal places)
So, the probability that the student chosen at random is female is approximately 0.5556 or 55.56%.