Shuffling a LinkedList (c#)

Since I could not google a sample shuffle function for the LinkedList, here it goes one:

public static void Shuffle(LinkedList list)
{
   Random rand = new Random();

   for (LinkedListNode n = list.First; n != null; n = n.Next)
   {
       T v = n.Value;
       if (rand.Next(0, 2) == 1)
       {
           n.Value = list.Last.Value;
           list.Last.Value = v;
       }
       else
       {
           n.Value = list.First.Value;
           list.First.Value = v;
       }
   }
}

[TestMethod]
public void ShufleTest()
{
   LinkedList<string> list = new LinkedList<string>();
   list.AddLast("a");
   list.AddLast("b");
   list.AddLast("c");
   list.AddLast("d");
   list.AddLast("e");
   Shuffle(list);
   foreach(string s in list) {
       Console.WriteLine(s);
   }
}