Simply have any
black Ace and any
black 8 dealt to you at the beginning of a hand, and then win that hand. The hand can end at any time. As long as you win or tie, you get the achievement.
BigWiIIieStyIe says you can almost guarantee a win in Practice or Single Player by going all in when you get your black A-8 cards. The AI usually folds.
The achievement name is a reference to the
Dead Man's Hand held by Wild Bill Hickok when he was murdered in 1876.