A healthy and educated society is the backbone of any successful society, however, deciding who is to provide this government or people themselves is a sensitive topic. I think that the government should be held responsible to provide these services. However, if one prefers extra services, they should be prepared to pay for it.
A good reason to hold this view is that education is largely considered a basic right, a population unable to calculate, read, write or even team would be doomed in such a competitive global economy. Globalisation has increased competition and shifted the emphasis on knowledge, information, and science. State education should, therefore, be freely available to everybody. However people wish to purchase private education, this should also be allowed or even encouraged. Private education reduces the strain on public services and provides a source of tax revenue for the government, in effect subsidising state education.
Another point to consider is that health services must undoubtedly be available to all because the entire nation is paying taxes and therefore should not be excluded from any service. Take the NHS in the UK for example, this organization caters to the entire population and no private medical insurance is needed. Unfortunately, waiting lists can be long and service is occasionally slow, therefore some purchase private medical insurance for faster service. This reduces the workload of the public sector.
To conclude, I believe both healthcare and education are basic fundamental rights, necessary for any advanced society and therefore the responsibility should lay with the government. Nevertheless, if individuals require more than the standard level, they should be ready to pay for it.