Question

after giving a test to a group of students, below is the summary of grades and gender.

	a	b	c	total
female	18	20	15	53
total	27	23	17	67

if a student is randomly chosen, find the probability that the student is male and earned a a. leave your answer as a reduced fraction.
question help: video

Explanation:

Step1: Identify relevant values

The number of male students who earned an A is 9, and the total number of students is 67.

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 male and earned an A is $P = \frac{9}{67}$. Since 9 and 67 have no common factors other than 1, the fraction is already in reduced form.

Answer:

$\frac{9}{67}$