Question

giving a test to a group of students, the grades and if they were a business major are summarized below

	a	b	c	total
non - business majors	10	8	19	37
total	15	21	35	71

if one student is chosen at random, find the probability that the student did not get an c
give your answer as a fraction or decimal out to at least 4 places.

Explanation:

Step1: Find total number of students

The total number of students is 71.

Step2: Find number of students who got a 'C'

The number of students who got a 'C' is 35.

Step3: Find number of students who did not get a 'C'

The number of students who did not get a 'C' is $71 - 35=36$.

Step4: Calculate the probability

The probability $P$ that a student did not get a 'C' is $\frac{36}{71}\approx0.5070$.

Answer:

$\frac{36}{71}\approx0.5070$