Display Random Webpage From Selection

I couldn't find an existing answer which quite solved my problem.

I have a domain, http://bonfiredog.co.uk, which has an index.html. I also have some other webpages in HTML form; let's call them:

splash1.html 
splash2.html 
splash3.html

I would like people, when they visit my domain, to have one of these webpages displayed at random.

I am assuming that I can do this by running a jQuery script in the index.html, but I can't seem to reverse-engineer a solution. Can anybody help?