So it depends...Public good
1. Economics
a commodity or service that is provided without profit to all members of a society, either by the government or a private individual or organization.
"a conviction that library informational services are a public good, not a commercial commodity"
If they were provided without profit to all members of a society - they would then become a public good.
According to this definition both health care and education could be considered public goods.
So now are you going to tell us what your point is?