[AaronBrown]

We might have interpreted the question differently. I was looking for hands that had 60% chance of winning against a random other hand. I think the hands that meet that definition are pairs five or higher; suited Ace with 6 or higher, King with 9 or higher or Queen Jack; offsuit Ace with 8 or higher, King with Jack or higher. That's 208 out of the 1,326 starting hands, or 15.7%.