Change terminal colour based on SSH session

Is it possible to automatically change the color of the terminal based on which server I am connected to through SSH?

For instance, when I fire up the terminal it has the standard colors defined under my profile. Then I ssh to ssh.example.com and the color changes to black & green instead. Then I exit the session and the color returns to the standard color theme.

I know that you could do this manually. But I'm looking for an automated way.

Yes, you can by changing the PS1 value in .bashrc file on every hostname where you are connecting with ssh.

See this answer to view how to costumize as you like the bash changing the PS1 value.

On my machine (radu@Radu) I have in .bashrc:

PS1='${debian_chroot:+($debian_chroot)}\[\033[01;35m\]\u@\h\[\033[00m\]:\[\033[01;34m\] \w\[\033[01;37m\] > '

On the hosted machine (radu@ubuntu) I have:

PS1='${debian_chroot:+($debian_chroot)}\[\033[01;35;40m\]\u@ubuntu\[\033[00;40m\]:\[\033[01;34;40m\] \w\[\033[01;32;40m\] > '