A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning. Required: a) What is the probability that a client who bought a single cab does not prefer air conditioning?  b) What is the probability that a client prefers a double cab with air conditioning?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.
Required:
a) What is the probability that a client who bought a single cab does not prefer air conditioning? 
b) What is the probability that a client prefers a double cab with air conditioning? 

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