Question

giving a test to a group of students, the grades and gender are summarized below

	a	b	c	total
male	18	11	13	42
female	14	17	9	40
total	32	28	22	82

if one student is chosen at random,
find the probability that the student was female and got a \a\.

Explanation:

Step1: Identify relevant values

The number of female students who got an 'A' is 14, and the total number of students is 82.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the probability that a randomly - chosen student is female and got an 'A' is $P = \frac{14}{82}$.
Simplifying $\frac{14}{82}=\frac{7}{41}$.

Answer:

$\frac{7}{41}$