Question

a test was given to a group of students. the grades and gender are summarized below

	a	b	c	total
female	3	8	14	25
total	7	27	34	68

if one student is chosen at random from those who took the test,
find the probability that the student got a a given they are female.

Explanation:

Step1: Identify female students with 'A'

Female students who got 'A': 3

Step2: Identify total female students

Total female students: 25

Step3: Calculate conditional probability

Probability = $\frac{\text{Female with 'A'}}{\text{Total female}} = \frac{3}{25}$

Answer:

$\frac{3}{25}$