Please help!?

A manufacturer of automobiles conducted a market survey. 80% 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 either better fuel efficiency or a vehicle navigation system is:

a)0.35
b)0.9
c)0.40
d)0.1

1 Answer
May 4, 2018

Probability is 0.90 and answer is (b).

Explanation:

As 80% of the customers want better fuel efficiency and 45%
want both features, 80%45%=35% want only better fuel efficiency.

Similarly as 55% want a vehicle navigation system and 45%
want both features, 55%45%=10% want only vehicle navigation system.

Hence 35%+10%+45%=90% want either better fuel efficiency or a vehicle navigation system and

Probability is 90100=0.90 and answer is (b).