Question

In a class of 19 students, 10 are female and 8 have an A in the class. There are 7 students who are male and do not have an A in the class. What is the probability that a female student does not have an A?

Answer 1

The probability that a female student does not have an A is 0.4 or 40%. This is found by subtracting the total number of As and male students without an A from the total number of students, then dividing the number of females without an A by the total number of female students.

Step-by-step explanation:

The student wants to know the probability that a female student does not have an A in the class. We know that the class has 19 students, 10 are female, and 8 have an A. We are also told that there are 7 male students who do not have an A. To find the number of female students without an A, we subtract the total number of As from the total number of students, and then subtract the number of male students without an A. This leaves us with the number of students who could be female without an A.

First, let's find the total number of students who do not have an A:
19 students (total) − 8 students (with an A) = 11 students (without an A).

Next, let's subtract the male students who do not have an A from this number:
11 students (without an A) − 7 students (male without an A) = 4 students, who must be female without an A.

Now we calculate the probability that a female student does not have an A:
4 female students without an A ÷ 10 female students = 0.4 or 40%.

The probability that a female student does not have an A is 0.4, or 40%.

Answer 2

Step-by-step explanation:

To calculate the probability that a female student does not have an A, we can use the given information:

Total number of female students = 10

Number of female students with an A = 10 - Number of female students without an A

Number of female students without an A = Total female students - Number of female students with an A

Number of female students without an A = 10 - 8 = 2

Probability that a female student does not have an A = Number of female students without an A / Total number of female students

Probability = 2 / 10 = 0.2

So, the probability that a female student does not have an A is 0.2, which is equivalent to 20%.