This game for 2 or 3 players comes from the Games and Puzzles Journal, now available online. 

Each player takes a complete suit of 13 cards.  The aim is to play 'tricks'; each turn, one card is laid face down by each player.  When the cards are revealed, the player with the highest card wins the trick.

Each trick is worth a certain number of points, determined by the remaining suit which is laid face up in random order.  Each card in this sequence determines the number of points each trick is worth, with all colour cards worth 11.  So, if it starts 4,A,Q,6,... then the first four tricks will be worth 4,1,11, and 6 points.  If both cards are equal, points are shared.

All players can see all point values and all completed tricks at all times.  What is the best strategy?  

How could you use this to teach probability (perhaps with fewer cards)?  How could you change the rules?