Question

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

	a	b	c	total
female	15	18	9	42
total	23	30	29	82

if a student is randomly chosen, find the probability that the student did not earn a(n) a. leave your answer as a reduced fraction.
question help: video message instructor

Explanation:

Step1: Find number of students who got A

The number of students who got A is 23 (from the table).

Step2: Find number of students who did not get A

The total number of students is 82. So the number of students who did not get A is $82 - 23=59$.

Step3: Calculate the probability

The probability $P$ that a student did not earn an A is the number of students who did not get A divided by the total number of students. So $P=\frac{59}{82}$.

Answer:

$\frac{59}{82}$