Question

Of the drivers who stop at a gas station,

91%

purchase gasoline, and

5%

purchase both gasoline and oil. A total of

8%

purchase oil.

(a)What is the probability that a driver purchases gasoline, given that he or she purchases oil? Round your answer to the nearest hundredth.

(b)What is the probability that a driver purchases oil, given that he or she purchases gasoline? Round your answer to the nearest hundredth.

Answer 1

Let A be the event that Of the drivers who stop at a gas station purchase gasoline

Let B be the event that Of the drivers who stop at a gas station purchase oil

a) the probability that a driver purchases gasoline, given that he or she purchases oil

= P(A/B)

b)the probability that a driver purchases oil, given that he or she purchases gasoline

= P(B/A)

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