Change your HTML to this :
<div id="lighttable">
<img id="girl1" src="" alt="01" />
<img id="girl2" src="" alt="02" />
<img id="girl3" src="" alt="03" />
etc....
</div>
Put this right before your page's </head>
tag
<script type="text/javascript">
var array = ['http://throwingupthew.com/girls/01.jpg','http://throwingupthew.com/girls/02.jpg','http://throwingupthew.com/girls/03.jpg'];
function shuffle(array) {
var currentIndex = array.length;
var temporaryValue;
var randomIndex;
while (0 !== currentIndex) {
randomIndex = Math.floor(Math.random() * currentIndex);
currentIndex -= 1;
temporaryValue = array[currentIndex];
array[currentIndex] = array[randomIndex];
array[randomIndex] = temporaryValue;
}
return array;
}
var shuffled_images = shuffle(array);
for(var i=0;i<3;i++) {
document.getElementById('girl' + (i+1)).src = shuffled_images[i] ;
}
</script>
Thanks to this page Randomizing(Shuffling) an Array, that I was able to make this script up for you :)
Here's the working JSFiddle :)