Question

In a class of 29 students, 19 are female and 14 have an A in the class. There are 8students who are male and do not have an A in the class. What is the probability thata student does not have an A given that the student is female?

Answer 1

SOLUTION

The total number of females =

$19$

if 14 have an A in the class, the number of students without A is:

$29-14=15$

8 male students do not have an A, therefore the number of female students without an A is:

$15-8=7$

The probability that a student does not have an A given that the student is female can be calculated thus:

$\frac{\text{Total number of female students without an A}}{Total\text{ number of female students in the class}}$$\frac{7}{19}$