How public cloud is better than private cloud?

Hi all,
This is my first post on this forum. Actually I've heard a lot about cloud hosting and its types. But I'm a bit confused between both of these cloud hosting types.
Hope to have a good time ahead in this forum

The main differentiator between public and private clouds is that you aren’t responsible for any of the management of a public cloud hosting solution. Your data is stored in the provider’s data center and the provider is responsible for the management and maintenance of the data center. This type of cloud environment is appealing to many companies because it reduces lead times in testing and deploying new products. However, the drawback is that many companies feel security could be lacking with a public cloud. Even though you don’t control the security of a public cloud, all of your data remains separate from others and security breaches of public clouds are rare.

So which is right for you? Ultimately, it all boils down to control. A large company may choose a private cloud, while a smaller business might choose a public cloud.

If I am not mistaken public cloud is just term for the retail cloud providers like Amazon AWS (being the biggest one) but also pretty much any hosting provider that is offering cloud services (Which most are).
If you are talking about hosting then more than likely you are going to be using public cloud.

Private cloud is the same concept - making use of cloud computing / distributed computing technologies to make your system robust, scalable etc BUT you are managing all of the infrastructure internally so that its not shared with other users etc. This is more geared towards businesses that are running their internal IT systems in the cloud - they would much prefer private cloud or at least a hybrid because of data security concerns and also for full auditablility, management, control etc.
When you are talking about hosting your websites these shouldn't really be major concerns.