5. A person's blood group is determined by whether or not it contains any of 3 substances \(A , B\) and \(C\).
A doctor surveyed 300 patients' blood and produced the table below.
| Blood contains | No. of Patients |
| only \(C\) | 100 |
| \(A\) and \(C\) but not \(B\) | 100 |
| only A | 30 |
| \(B\) and \(C\) but not \(A\) | 25 |
| only \(B\) | 12 |
| \(A , B\) and \(C\) | 10 |
| \(A\) and \(B\) but not \(C\) | 3 |
- Draw a Venn diagram to represent this information.
- Find the probability that a randomly chosen patient's blood contains substance \(C\).
Harry is one of the patients. Given that his blood contains substance \(A\),
- find the probability that his blood contains all 3 substances.
Patients whose blood contains none of these substances are called universal blood donors.
- Find the probability that a randomly chosen patient is a universal blood donor.