THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent marketing survey related consumers' awareness of a new marketing campaign with their rating of the product.Consumers rated their awareness as low,medium,or high,and rated the product as poor,fair,or good.The results are presented below.
-What is the probability that a consumer who ranked the product as fair had a high awareness of the ad campaign?
A)0.06
B)0.26
C)0.23
D)0.40

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent marketing survey related consumers' awareness of a new marketing campaign with their rating of the product.Consumers rated their awareness as low,medium,or high,and rated the product as poor,fair,or good.The results are presented below. 
-What is the probability that a consumer who ranked the product as fair had a high awareness of the ad campaign?
A)0.06 
B)0.26 
C)0.23 
D)0.40

Quizplus · Accepted Answer

To find the probability of a consumer who ranked the product as fair having a high awareness of the ad campaign, we need to use the joint probability formula:
P(high awareness and fair rating) / P(fair rating)
= 0.12 / (0.12 + 0.28 + 0.20)
= 0.12 / 0.6
= 0.2
Therefore, the probability is 0.2, which is closest to 0.26 (option B).