where would an active market for health insurance be less likely to emerge? and why?

A question come up in my health economic class which I don't quite know how to answer it. Can anybody help me? Think of two otherwise identical hypothetical countries, one of which has widely eliminated contagious disease and the other for which contagious disease remains a major cause of death. Where would an active market for health insurance be less likely to emerge, and why?
--------------------
The latter, because nearly all countries which have widely eliminated contagious disease provide their citizens with healthcare. The only major one left where purchasing health insurance is still necessary is the United States.
Source