Posted on 2013-06-05
I know the answer but I cant work this out. It should be a conditional prob question
For a particular petrol station 30% of customers buy ‘super’ and 60% buy unleaded and
10% diesel. When a customer buys super there is a 25% chance they will fill the tank.
Customers buying unleaded have a 20% chance they will fill the tank. Of those buying
diesel, 70% fill their tank.
Given that a car leaving the petrol station has a full tank, what is the probability that
the tank contains unleaded petrol?