Question

The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?

Answer 1

Answer:

The required probability is "0.0003".

Step-by-step explanation:

• Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs.
• The concentrate was obtained from either the blood of approximately 1000 donors every lot.
• The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.

Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:

= $\frac{1}{3000}$

= $0.0003$