In a survey of 450 people's breakfast habits it was found that in the past year 170 had eaten bacon for breakfast, 190 had eaten sausage, 50 had eaten bacon and ham, 30 had eaten ham and sausage, 80...

In a survey of 450 people's breakfast habits it was found that in the past year 170 had eaten bacon for breakfast, 190 had eaten sausage, 50 had eaten bacon and ham, 30 had eaten ham and sausage, 80 had eaten bacon and sausage, 20 had all the three, 120 had none of the three. Try to complete the diagram representing this information. If someone is selecting a random from those surveyed we know they had eaten sausage or ham or both. What is the probability they had also eaten bacon?