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A survey was conducted by the local chapter of an environmental club regarding t

ID: 2924331 • Letter: A

Question

A survey was conducted by the local chapter of an environmental club regarding the ownership of alternative fuel vehicles (AFVs) among the members of the group. An AFV is a vehicle that runs on fuel other than petroleum fuels (petrol and diesel). It was found that of the 80 members of the club surveyed, 14 of them own at least one hybrid car, 10 of them own at least one electric car, and 2 of them own at least one hybrid and at least one electric car. If a member of the club is surveyed, what is the probability that he or she owns no alternative fuel vehicles?

Explanation / Answer

Solution:

Total members = 8

14 of them own at least one hybrid car 2 of them at least one hybrid electric car.

(14-2) = 12 own only hybrid car

(10 - 2) = 8 own only electric car

People owning no alternative

vehicle = 80 - (12 + 8+ 2)

= 80 - (22) = 68

Probability that he or she owns no alternative vehicle = 68/80

= 0.85

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