SOLUTION: Of the drivers who stop at a gas station, 90% purchase gasoline, and 5% purchase both gasoline and oil. A total of 9% purchase oil. a) What is the probability that a driver purcha

Question 1171949: Of the drivers who stop at a gas station, 90% purchase gasoline, and 5% purchase both gasoline and oil. A total of 9% purchase oil.
a) What is the probability that a driver purchases oil, given that he or she purchases gasoline? Round your answer to the nearest hundredth.
b) What is the probability that a driver purchases gasoline, given that he or she purchases oil? Round your answer to the nearest hundredth.
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
.


(a)  to determine this conditional probability, we should relate 5% (intersection) to 90% 
     (which is the base probability to relate to, in this case).

 
     So,  P =  = 0.05556 = 5.56%   (rounded).    ANSWER



(b)  to determine this conditional probability, we should relate 5% (intersection) to 9% 
     (which is the base probability, to relate to, in this case). 

     So,  P =  = 0.5556 = 55.56%   (rounded).   ANSWER

Solved.

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In this site, there are two lessons for problems on conditional probability. They are
    - Conditional probability problems
    - Conditional probability problems REVISITED

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Solved problems on Probability"
and "Additional problems on Probability".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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