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Condition on a full tank after a fuel-type split

At a petrol station,30%of customers buy leaded petrol,60%buy unleaded petrol and the remainder buy diesel. A leaded-petrol customer has a 25%chance of filling the tank; an unleaded-petrol customer has a 20%chance; a diesel customer has a 30%chance.

(i) Draw a probability tree.

(ii) Find the probability that a car leaving does not have a full tank.

(iii) Given that it has a full tank, find the probability that it contains unleaded petrol.

CJC · Lecture · Example 8

Name the events, identify the sample space, and state which outcomes or conditions are being counted.

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