I'm new to cryptography and please clarify if my below assumption is wrong.
Lets assume, that two different banks creating CSR and they get identical public and private key pairs of RSA. In such scenario, how does the conflict be managed. Will the administrator be notified about the conflict ? will the CA check for the conflict ?
If this persist further, one of the administrator can sniff the packets of the other web server and decipher with copy of his own private key.