Brick,
 
<!DOCTYPE html>
<html>
<head>
  <title>Untitled</title>
  <meta charset="utf-8">
</head>
<body>
<ol>
    <li></li>
    <li></li>
    <li></li>
    <li></li>
</ol>
<script>
function fn(c) {
    var a = c.slice(0);
    return function() {
        var b = Math.floor(Math.random() * a.length);
        b = a.splice(b, 1)[0];
        a.length || (a = c.slice(0));
        return b
    }
};
var arr = [1,1,1,2,2,2,3,3,3,4];
var rnd = fn(arr);
//тестирование
var li = document.querySelectorAll("li");
for (var i = 0; i < 10; i++) {
    var q = rnd();
    li[q  - 1].innerHTML += q
    document.write(i + '=>' + q + '<br>')
}
</script>
</body>
</html>