One of the most basic problems that public key cryptography set out to solve was the problem of key distribution. Could you give us an overview in a nutshell?

Is it feasible, with the right software installed on a desktop computer, to produce secret keys for use in cryptographic protocols in a safe and reliable way?

In order to deal with key distribution, public key cryptography was created. Key distribution may be explained with an example. How can Alice and Bob use a connected public key and private key to accomplish both secrecy and authentication?

In its infancy, cryptography based on public keys struggled to overcome the difficulty of key distribution. Why not provide an example to illustrate how the distribution of keys might be carried out such that it is clear and simple?