Ravi inspects 60 cars for three types of fault, FFF, G G\,G and HHH.
6 cars have all three faults.
14 cars have fault F F\,F and fault GGG.
11 cars have fault G G\,G and fault HHH.
13 cars have fault F F\,F and fault HHH.
34 cars have fault FFF, 25 cars have fault G G\,G and 22 cars have fault HHH.
Draw a Venn diagram to represent this information.
One of the 60 cars is selected at random. Find the probability that it has exactly one of the three faults.
Two of the 60 cars are selected at random. Find the probability that neither has any of the three faults.