This week's book giveaway is in the OCAJP forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide 1Z0-808 and have Jeanne Boyarsky & Scott Selikoff on-line! See this thread for details.
If I understand your problem correctly then both of these should work <img src="/dice/images/home/question_mark.gif"> <img src="images/home/question_mark.gif">
the first one since it now points to the root (provided that the server is configured so that the image is located here http://domainname/dice/images/home/question_mark.gif) and the second one since now you don't start at the root but from where you are currently located. This of course requires that the page that has the link is viewed to user at the root of "dice/".