Question #178486

a) A company has taken a ballot of its workforce, asking them to choose between two alternative new schemes (A and B) for claiming travelling expenses. 60% of the workforce support scheme A, while 50% of these owning a car. If only 30% of those who support scheme B own a car, calculate the probability that if a worker is chosen at random, he will be:

i. a car owner

ii. a car owning, scheme A supporter

iii. a car owner, given that he supports scheme A

iv. a scheme A supporter, given that he owns a car

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