Question

In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class is a female?

Female Male
4 8 the top is that have a A and bottom don't have a A
9 6

Answer 1

The probability that a randomly chosen student from the class is female is calculated by dividing the total number of female students (13) by the total number of students (27), resulting in the probability of 13/27.

Step-by-step explanation:

The question asks for the probability that a randomly chosen student from a class is female, based on given data.

To find this probability, we add the number of female students with an A and those without an A, and then divide by the total number of students in the class.

According to the given data, there are 4 female students with an A and 9 female students without an A, which equals 13 female students in total.

The total number of students is 4 (females with an A) + 8 (males with an A) + 9 (females without an A) + 6 (males without an A) = 27.

Therefore, the probability that a student chosen randomly is a female is calculated by dividing the number of female students by the total number of students: 13/27.