Problem
In a class of 29 students, 19 are female and 14 have an \( \mathrm{A} \) in the class. There are 8 students who are male and do not have an \( \mathrm{A} \) in the class. What is the probability that a student does not have an A given that the student is female?
Solution
Step 1 ：Find total students with an A: 29 - 8 = 21
Step 2 ：Find female students with an A: 19 - (21 - 14) = 12
Step 3 ：Find female students without an A: 19 - 12 = 7
Step 4 ：Calculate probability: \(\frac{7}{19}\)
