THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A manufacturer of automobiles conducted a market survey.Eighty percent of the customers want better fuel efficiency,while 55% want a vehicle navigation system and 45% percent want both features.
-The probability that a person wants neither better fuel efficiency nor a vehicle navigation system is:
A)0.90
B)0.10
C)0.45
D)0.35

Question

Quizplus · Accepted Answer

Since 45% of the customers want both features, we can subtract this from the percentages of customers who want each feature to get the following: 
- 35% want only fuel efficiency (80% - 45%)
- 10% want only navigation (55% - 45%)
Therefore, the remaining percentage of customers who want neither feature is 100% - (35% + 10%) = 55%. This means the probability that a person wants neither better fuel efficiency nor a vehicle navigation system is 0.55 or 55%, which corresponds to choice B.