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# conditional prob

Posted on 2013-06-05

Hi,

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?